WO2022198995A1 - Gait trajectory planning method and apparatus, computer readable storage medium, and robot - Google Patents

Gait trajectory planning method and apparatus, computer readable storage medium, and robot Download PDF

Info

Publication number
WO2022198995A1
WO2022198995A1 PCT/CN2021/124621 CN2021124621W WO2022198995A1 WO 2022198995 A1 WO2022198995 A1 WO 2022198995A1 CN 2021124621 W CN2021124621 W CN 2021124621W WO 2022198995 A1 WO2022198995 A1 WO 2022198995A1
Authority
WO
WIPO (PCT)
Prior art keywords
trajectory
gait
gait trajectory
standard
fitting
Prior art date
Application number
PCT/CN2021/124621
Other languages
French (fr)
Chinese (zh)
Inventor
郭宜劼
赵明国
熊友军
Original Assignee
深圳市优必选科技股份有限公司
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by 深圳市优必选科技股份有限公司 filed Critical 深圳市优必选科技股份有限公司
Publication of WO2022198995A1 publication Critical patent/WO2022198995A1/en

Links

Images

Classifications

    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05DSYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
    • G05D1/00Control of position, course or altitude of land, water, air, or space vehicles, e.g. automatic pilot
    • G05D1/02Control of position or course in two dimensions
    • G05D1/021Control of position or course in two dimensions specially adapted to land vehicles
    • G05D1/0212Control of position or course in two dimensions specially adapted to land vehicles with means for defining a desired trajectory
    • G05D1/0223Control of position or course in two dimensions specially adapted to land vehicles with means for defining a desired trajectory involving speed control of the vehicle
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05DSYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
    • G05D1/00Control of position, course or altitude of land, water, air, or space vehicles, e.g. automatic pilot
    • G05D1/02Control of position or course in two dimensions
    • G05D1/021Control of position or course in two dimensions specially adapted to land vehicles
    • G05D1/0212Control of position or course in two dimensions specially adapted to land vehicles with means for defining a desired trajectory
    • G05D1/0214Control of position or course in two dimensions specially adapted to land vehicles with means for defining a desired trajectory in accordance with safety or protection criteria, e.g. avoiding hazardous areas
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05DSYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
    • G05D1/00Control of position, course or altitude of land, water, air, or space vehicles, e.g. automatic pilot
    • G05D1/02Control of position or course in two dimensions
    • G05D1/021Control of position or course in two dimensions specially adapted to land vehicles
    • G05D1/0212Control of position or course in two dimensions specially adapted to land vehicles with means for defining a desired trajectory
    • G05D1/0221Control of position or course in two dimensions specially adapted to land vehicles with means for defining a desired trajectory involving a learning process
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05DSYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
    • G05D1/00Control of position, course or altitude of land, water, air, or space vehicles, e.g. automatic pilot
    • G05D1/02Control of position or course in two dimensions
    • G05D1/021Control of position or course in two dimensions specially adapted to land vehicles
    • G05D1/0276Control of position or course in two dimensions specially adapted to land vehicles using signals provided by a source external to the vehicle

Definitions

  • the present application belongs to the field of robotics, and in particular, relates to a gait trajectory planning method, device, computer-readable storage medium, and robot.
  • Humanoid robots are complex systems with multiple degrees of freedom.
  • the full dynamic model of the robot combined with model predictive control and other optimization methods can be used to comprehensively consider the multiple degrees of freedom and constraints of the robot.
  • this is a perfect solution for gait trajectory planning, which can not only consider all the dynamics of the robot, but also provide real-time feedback and re-planning for future information.
  • the optimization problems generated by this method are often highly nonlinear and cannot guarantee convexity, a feasible solution may not be found in real-time calculation.
  • the current computer computing power has developed rapidly, it still cannot meet the high real-time requirements of such methods. sexual needs.
  • the embodiments of the present application provide a gait trajectory planning method, device, computer-readable storage medium, and robot to solve the problem that high real-time gait trajectory planning cannot be performed in the prior art.
  • a first aspect of the embodiments of the present application provides a gait trajectory planning method, which may include:
  • the standard gait trajectory library includes several standard gait trajectories, and each standard gait trajectory corresponds to a preset standard traveling speed;
  • an interpolation calculation is performed in the standard gait track of the standard gait track library to obtain a target gait track corresponding to the current traveling speed.
  • performing interpolation calculation in the standard gait trajectory of the standard gait trajectory library according to the current travel speed to obtain a target gait trajectory corresponding to the current travel speed may include:
  • the interpolation calculation is performed in the standard gait trajectory of the standard gait trajectory library according to the following formula:
  • n is the serial number of the standard travel speed, 1 ⁇ n ⁇ N, N is the number of standard travel speeds, vn is the nth standard travel speed, and v n ⁇ v n+1 , is the standard gait trajectory corresponding to vn in the standard gait trajectory library, is the current traveling speed, and gait(t) is the target gait trajectory corresponding to the current traveling speed.
  • the gait trajectory planning method may further include:
  • performing trajectory fitting according to the current gait trajectory and the target gait trajectory may include:
  • constructing a fitting trajectory expression with undetermined coefficients corresponding to the fitting gait trajectory may include:
  • t is the time variable
  • a i is an undetermined coefficient, 0 ⁇ i ⁇ 5.
  • determining the boundary constraints of the fitting trajectory expression according to the current gait trajectory and the target gait trajectory may include:
  • t m is the mth specified time point, 0 ⁇ m ⁇ M, and M is the number of specified time points.
  • a second aspect of the embodiments of the present application provides a gait trajectory planning device, which may include:
  • the gait trajectory library acquisition module is used to acquire the standard gait trajectory library of the robot;
  • the standard gait trajectory library includes several standard gait trajectories, and each standard gait trajectory corresponds to a preset standard travel speed;
  • the speed determination module is used to determine the current travel speed of the robot
  • An interpolation calculation module configured to perform interpolation calculation in the standard gait trajectory of the standard gait trajectory library according to the current travel speed to obtain a target gait trajectory corresponding to the current travel speed.
  • interpolation calculation module is specifically used to perform interpolation calculation in the standard gait trajectory of the standard gait trajectory library according to the following formula:
  • n is the serial number of the standard travel speed, 1 ⁇ n ⁇ N, N is the number of standard travel speeds, vn is the nth standard travel speed, and v n ⁇ v n+1 , is the standard gait trajectory corresponding to vn in the standard gait trajectory library, is the current traveling speed, and gait(t) is the target gait trajectory corresponding to the current traveling speed.
  • the gait trajectory planning device may also include:
  • the current gait trajectory determination module is used to determine the current gait trajectory of the robot
  • a trajectory fitting module configured to perform trajectory fitting according to the current gait trajectory and the target gait trajectory, to obtain a fitted gait trajectory that smoothly transitions from the current gait trajectory to the target gait trajectory.
  • trajectory fitting module may include:
  • a fitted trajectory expression construction unit used for constructing a fitted trajectory expression with undetermined coefficients corresponding to the fitted gait trajectory
  • a boundary constraint condition determining unit configured to determine the boundary constraint condition of the fitting trajectory expression according to the current gait trajectory and the target gait trajectory;
  • a designated time point selection unit used to select several designated time points within a preset trajectory fitting period, and calculate the value of the target gait trajectory at each designated time point;
  • An optimization target construction unit for constructing an optimization target corresponding to the fitting trajectory expression according to the value of the target gait trajectory at each specified time point;
  • An undetermined coefficient solving unit configured to determine each undetermined coefficient of the fitting trajectory expression according to the optimization objective and the boundary constraints, so as to obtain the fitting gait trajectory.
  • fitting trajectory expression building unit is specifically used to construct the fitting trajectory expression shown in the following formula:
  • t is the time variable
  • a i is an undetermined coefficient, 0 ⁇ i ⁇ 5.
  • boundary constraint determination unit is specifically used to determine the boundary constraint shown in the following formula:
  • optimization target construction unit is specifically used to construct the optimization target shown in the following formula:
  • t is the time variable, is the target gait trajectory, t m is the mth specified time point, 0 ⁇ m ⁇ M, and M is the number of specified time points.
  • a third aspect of the embodiments of the present application provides a computer-readable storage medium, where the computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, implements any of the above-mentioned gait trajectory planning methods step.
  • a fourth aspect of the embodiments of the present application provides a robot, including a memory, a processor, and a computer program stored in the memory and executable on the processor, and the processor implements the computer program when the processor executes the computer program.
  • the steps of any of the above gait trajectory planning methods are provided.
  • a fifth aspect of the embodiments of the present application provides a computer program product, which, when the computer program product runs on a robot, causes the robot to execute the steps of any of the above gait trajectory planning methods.
  • the embodiments of the present application acquire a standard gait trajectory library of the robot; the standard gait trajectory library includes several standard gait trajectories, and each standard gait trajectory The gait trajectories all correspond to a preset standard travel speed; determine the current travel speed of the robot; perform interpolation calculation in the standard gait trajectory of the standard gait trajectory library according to the current travel speed, and obtain a The target gait trajectory corresponding to the travel speed.
  • the target gait trajectory corresponding to the current traveling speed can be obtained only by the interpolation calculation of the standard gait trajectory, which effectively ensures the high real-time performance of the gait trajectory planning.
  • FIG. 1 is a flowchart of an embodiment of a gait trajectory planning method in an embodiment of the present application
  • Fig. 2 is the schematic diagram of the state trajectory of the robot workspace
  • Fig. 3 is a schematic diagram of the mutation of gait trajectory
  • Fig. 5 is the schematic diagram of fitting gait trajectory
  • FIG. 6 is a structural diagram of an embodiment of a gait trajectory planning device in an embodiment of the present application.
  • FIG. 7 is a schematic block diagram of a robot in an embodiment of the present application.
  • the term “if” may be contextually interpreted as “when” or “once” or “in response to determining” or “in response to detecting” .
  • the phrases “if it is determined” or “if the [described condition or event] is detected” may be interpreted, depending on the context, to mean “once it is determined” or “in response to the determination” or “once the [described condition or event] is detected. ]” or “in response to detection of the [described condition or event]”.
  • an embodiment of a gait trajectory planning method in the embodiment of the present application may include:
  • Step S101 obtaining a standard gait trajectory library of the robot.
  • the standard gait trajectory library includes several standard gait trajectories, and each standard gait trajectory corresponds to a preset standard traveling speed.
  • the gait trajectory in this embodiment of the present application may refer to a certain single state trajectory, or may refer to a combination of multiple state trajectories.
  • Figure 2 shows a schematic diagram of the state trajectory of some robot workspaces, including but not limited to the pitch angle ⁇ t (t) and roll angle ⁇ t (t) of the upper body posture, the forward position x of the upper body relative to the support feet t (t), lateral position y t (t) and height h t (t), and forward position x f (t), lateral position y f (t) of the swing foot relative to the waist, and the swing foot relative to the ground Height z f (t), where t is a time variable.
  • the gait trajectory in this embodiment of the present application may be a combination of the above state trajectories, namely:
  • gait(t) [ ⁇ t(t), ⁇ t( t ), xt ( t ),yt( t ),ht( t ),xf( t ), yf ( t ),zf (t)]
  • the gait trajectory under a preset gait cycle (marked as T) can be generated in advance through the full dynamic model of the robot, and this gait trajectory can be used as the corresponding standard travel speed. Standard gait trajectory.
  • the number of standard traveling speeds to be set and the specific value of each standard traveling speed can be set according to actual conditions, which are not specifically limited in this embodiment of the present application.
  • Step S102 determining the current traveling speed of the robot.
  • the measured value of the forward speed of the robot's waist at this time can be taken as the current traveling speed, which is recorded as
  • Step S103 Perform interpolation calculation in the standard gait trajectory of the standard gait trajectory library according to the current travel speed to obtain a target gait trajectory corresponding to the current travel speed.
  • interpolation calculation can be performed in the standard gait trajectory of the standard gait trajectory library according to the following formula:
  • n is the serial number of the standard travel speed, 1 ⁇ n ⁇ N, N is the number of standard travel speeds, vn is the nth standard travel speed, and v n ⁇ v n+1 , is the standard gait trajectory corresponding to vn in the standard gait trajectory library, and gait(t) is the target gait trajectory corresponding to the current traveling speed.
  • the interpolation calculation can be performed according to the following formula:
  • the robot can select the gait trajectory most suitable for the current speed in real time even if it is disturbed by the speed during the traveling process, so as to ensure its own stability.
  • FIG. 3 is a schematic diagram of the sudden change of the gait trajectory, in which the forward position x f (t) of the swinging foot relative to the waist is used as an example for illustration.
  • the traveling speed of the robot is 0m/s, that is, the gait of walking on the spot, at the 0.1s moment of the gait cycle, it is suddenly disturbed, resulting in the sudden change of the traveling speed to 0.6m/s, and the gait from 0m/s is required.
  • the trajectory is switched to the gait trajectory of 0.6m/s, which causes the instability of the robot's walking.
  • trajectory fitting can be performed according to the current gait trajectory and the target gait trajectory , to obtain a fitted gait trajectory that smoothly transitions from the current gait trajectory to the target gait trajectory.
  • the process of trajectory fitting may specifically include the following steps:
  • Step S401 constructing a fitting trajectory expression with undetermined coefficients corresponding to the fitting gait trajectory.
  • the specific expression used can be set according to the actual situation, including but not limited to high-order polynomials and Bezier curves.
  • the fitted trajectory expression can be constructed as follows:
  • a i is an undetermined coefficient, 0 ⁇ i ⁇ 5, that is, there are altogether 6 undetermined coefficients a 0 , a 1 , a 2 , a 3 , a 4 , and a 5 .
  • the corresponding velocity expression can be obtained by taking the derivative of it, namely:
  • Step S402 Determine boundary constraints of the fitting trajectory expression according to the current gait trajectory and the target gait trajectory.
  • the time range under one gait cycle is [0, T], and the fitting gait trajectory needs to connect the position of the current gait trajectory at the current time t 0 and the target gait trajectory at the final time T position, and at the same time satisfy the velocity continuity, that is, it is required to determine the boundary constraints shown in the following formula:
  • Step S403 Select several designated time points within a preset trajectory fitting period, and calculate the value of the target gait trajectory at each designated time point.
  • the trajectory fitting period is [t 0 , T], and the number of specified time points can be set according to the actual situation.
  • two specified time points t 1 and t 2 can be selected as follows:
  • the value of the target gait trajectory at each specified time point can be calculated separately, that is, and
  • Step S404 constructing an optimization target corresponding to the fitting trajectory expression according to the values of the target gait trajectory at each specified time point.
  • optimization objective can be constructed as follows:
  • the fitting trajectory is as close as possible to the target gait trajectory, and the deviation between the two is minimized, wherein t m is the mth specified time point, 0 ⁇ m ⁇ M, and M is the specified time point number of.
  • Step S405 Determine each undetermined coefficient of the fitting trajectory expression according to the optimization objective and the boundary constraint condition to obtain the fitting gait trajectory.
  • FIG. 5 shows the fitted gait trajectory corresponding to the example in Figure 3. Through this fitted gait trajectory, a smooth and continuous switching from the current trajectory to the new trajectory is realized. The above trajectory fitting process is repeated at each moment, that is, rolling trajectory fitting is performed.
  • the standard gait trajectory library of the robot is obtained; the standard gait trajectory library includes several standard gait trajectories, and each standard gait trajectory corresponds to a preset standard travel speed; determine the current travel speed of the robot; perform interpolation calculation in the standard gait trajectory of the standard gait trajectory library according to the current travel speed to obtain a target gait trajectory corresponding to the current travel speed.
  • the target gait trajectory corresponding to the current traveling speed can be obtained only by the interpolation calculation of the standard gait trajectory, which effectively ensures the high real-time performance of the gait trajectory planning.
  • FIG. 6 shows a structural diagram of an embodiment of a gait trajectory planning apparatus provided by an embodiment of the present application.
  • a gait trajectory planning device may include:
  • the gait trajectory library acquisition module 601 is used to acquire the standard gait trajectory library of the robot;
  • the standard gait trajectory library includes several standard gait trajectories, and each standard gait trajectory corresponds to a preset gait trajectory standard travel speed;
  • a speed determination module 602 used to determine the current travel speed of the robot
  • the interpolation calculation module 603 is configured to perform interpolation calculation in the standard gait trajectory of the standard gait trajectory library according to the current travel speed to obtain a target gait trajectory corresponding to the current travel speed.
  • interpolation calculation module is specifically used to perform interpolation calculation in the standard gait trajectory of the standard gait trajectory library according to the following formula:
  • n is the serial number of the standard travel speed, 1 ⁇ n ⁇ N, N is the number of standard travel speeds, vn is the nth standard travel speed, and v n ⁇ v n+1 , is the standard gait trajectory corresponding to vn in the standard gait trajectory library, is the current traveling speed, and gait(t) is the target gait trajectory corresponding to the current traveling speed.
  • the gait trajectory planning device may also include:
  • the current gait trajectory determination module is used to determine the current gait trajectory of the robot
  • a trajectory fitting module configured to perform trajectory fitting according to the current gait trajectory and the target gait trajectory, to obtain a fitted gait trajectory that smoothly transitions from the current gait trajectory to the target gait trajectory.
  • trajectory fitting module may include:
  • a fitting trajectory expression construction unit used for constructing a fitting trajectory expression with undetermined coefficients corresponding to the fitted gait trajectory
  • a boundary constraint condition determining unit configured to determine the boundary constraint condition of the fitting trajectory expression according to the current gait trajectory and the target gait trajectory;
  • a designated time point selection unit used to select several designated time points within a preset trajectory fitting period, and calculate the value of the target gait trajectory at each designated time point;
  • an optimization target construction unit configured to construct an optimization target corresponding to the fitting trajectory expression according to the values of the target gait trajectory at each specified time point;
  • An undetermined coefficient solving unit configured to determine each undetermined coefficient of the fitting trajectory expression according to the optimization objective and the boundary constraints, so as to obtain the fitting gait trajectory.
  • fitting trajectory expression building unit is specifically used to construct the fitting trajectory expression shown in the following formula:
  • t is the time variable
  • a i is an undetermined coefficient, 0 ⁇ i ⁇ 5.
  • boundary constraint determination unit is specifically used to determine the boundary constraint shown in the following formula:
  • optimization target construction unit is specifically used to construct the optimization target shown in the following formula:
  • t m is the mth specified time point, 0 ⁇ m ⁇ M, and M is the number of specified time points.
  • FIG. 7 shows a schematic block diagram of a robot provided by an embodiment of the present application. For convenience of description, only parts related to the embodiment of the present application are shown.
  • the robot 7 of this embodiment includes a processor 70 , a memory 71 , and a computer program 72 stored in the memory 71 and executable on the processor 70 .
  • the processor 70 executes the computer program 72
  • the steps in each of the above embodiments of the gait trajectory planning method are implemented, for example, steps S101 to S103 shown in FIG. 1 .
  • the processor 70 executes the computer program 72
  • the functions of the modules/units in the above device embodiments for example, the functions of the modules 601 to 603 shown in FIG. 6 are implemented.
  • the computer program 72 may be divided into one or more modules/units, and the one or more modules/units are stored in the memory 71 and executed by the processor 70 to complete the this application.
  • the one or more modules/units may be a series of computer program instruction segments capable of performing specific functions, and the instruction segments are used to describe the execution process of the computer program 72 in the robot 7 .
  • FIG. 7 is only an example of the robot 7, and does not constitute a limitation to the robot 7. It may include more or less components than the one shown, or combine some components, or different components, such as
  • the robot 7 may also include input and output devices, network access devices, buses, and the like.
  • the processor 70 may be a central processing unit (Central Processing Unit, CPU), or other general-purpose processors, digital signal processors (Digital Signal Processor, DSP), application specific integrated circuit (Application Specific Integrated Circuit, ASIC), Field-Programmable Gate Array (FPGA) or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc.
  • a general purpose processor may be a microprocessor or the processor may be any conventional processor or the like.
  • the memory 71 may be an internal storage unit of the robot 7 , such as a hard disk or a memory of the robot 7 .
  • the memory 71 can also be an external storage device of the robot 7, such as a plug-in hard disk equipped on the robot 7, a smart memory card (Smart Media Card, SMC), a secure digital (Secure Digital, SD) card, Flash card (Flash Card) and so on.
  • the memory 71 may also include both an internal storage unit of the robot 7 and an external storage device.
  • the memory 71 is used to store the computer program and other programs and data required by the robot 7 .
  • the memory 71 may also be used to temporarily store data that has been output or will be output.
  • the disclosed apparatus/robot and method may be implemented in other ways.
  • the device/robot embodiments described above are only illustrative.
  • the division of the modules or units is only a logical function division.
  • the shown or discussed mutual coupling or direct coupling or communication connection may be through some interfaces, indirect coupling or communication connection of devices or units, and may be in electrical, mechanical or other forms.
  • the units described as separate components may or may not be physically separated, and components displayed as units may or may not be physical units, that is, may be located in one place, or may be distributed to multiple network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution in this embodiment.
  • each functional unit in each embodiment of the present application may be integrated into one processing unit, or each unit may exist physically alone, or two or more units may be integrated into one unit.
  • the above-mentioned integrated units may be implemented in the form of hardware, or may be implemented in the form of software functional units.
  • the integrated modules/units if implemented in the form of software functional units and sold or used as independent products, may be stored in a computer-readable storage medium.
  • the present application can implement all or part of the processes in the methods of the above embodiments, and can also be completed by instructing the relevant hardware through a computer program.
  • the computer program can be stored in a computer-readable storage medium, and the computer When the program is executed by the processor, the steps of the foregoing method embodiments can be implemented.
  • the computer program includes computer program code, and the computer program code may be in the form of source code, object code, executable file or some intermediate form, and the like.
  • the computer-readable storage medium may include: any entity or device capable of carrying the computer program code, a recording medium, a U disk, a removable hard disk, a magnetic disk, an optical disk, a computer memory, a read-only memory (ROM, Read-Only Memory) ), random access memory (RAM, Random Access Memory), electrical carrier signals, telecommunication signals, and software distribution media, etc. It should be noted that the content contained in the computer-readable storage medium may be appropriately increased or decreased according to the requirements of legislation and patent practice in the jurisdiction, for example, in some jurisdictions, according to legislation and patent practice, computer-readable Storage media exclude electrical carrier signals and telecommunications signals.

Abstract

A gait trajectory planning method and apparatus, a computer readable storage medium, and a robot (7). The method comprises: acquiring a standard gait trajectory library of a robot (7) (S101), the standard gait trajectory library comprising a plurality of standard gait trajectories, and each standard gait trajectory corresponding to a preset standard travel speed; determining the current travel speed of the robot (7) (S102); and performing interpolation calculation in a standard gait trajectory in the standard gait trajectory library according to the current travel speed to obtain a target gait trajectory corresponding to the current travel speed (S103). According to the method, a target gait trajectory corresponding to the current travel speed can be obtained just by performing interpolation calculation in a standard gait trajectory, thereby effectively ensuring high time relevancy of gait trajectory planning.

Description

步态轨迹规划方法、装置、计算机可读存储介质及机器人Gait trajectory planning method, device, computer-readable storage medium, and robot
本申请要求于2021年03月26日在中国专利局提交的、申请号为202110324996.1的中国专利申请的优先权,其全部内容通过引用结合在本申请中。This application claims the priority of the Chinese Patent Application No. 202110324996.1 filed with the Chinese Patent Office on March 26, 2021, the entire contents of which are incorporated herein by reference.
技术领域technical field
本申请属于机器人技术领域,尤其涉及一种步态轨迹规划方法、装置、计算机可读存储介质及机器人。The present application belongs to the field of robotics, and in particular, relates to a gait trajectory planning method, device, computer-readable storage medium, and robot.
背景技术Background technique
仿人机器人是具有多自由度的复杂系统,目前在对仿人机器人进行步态轨迹规划时,可以使用机器人的全动力学模型结合模型预测控制等优化方法,综合考虑机器人的多自由度、约束等进行步态轨迹规划,理论上来说,这是步态轨迹规划非常完美的解决方案,既可以考虑机器人的所有动力学,又可针对未来信息实时进行反馈和重规划。但由于这种方法产生的优化问题往往高度非线性且不能保证凸性,实时计算时不一定能够找到可行解,目前计算机算力虽有很快的发展,但仍不能满足这类方法的高实时性需求。Humanoid robots are complex systems with multiple degrees of freedom. At present, when planning the gait trajectory of humanoid robots, the full dynamic model of the robot combined with model predictive control and other optimization methods can be used to comprehensively consider the multiple degrees of freedom and constraints of the robot. In theory, this is a perfect solution for gait trajectory planning, which can not only consider all the dynamics of the robot, but also provide real-time feedback and re-planning for future information. However, because the optimization problems generated by this method are often highly nonlinear and cannot guarantee convexity, a feasible solution may not be found in real-time calculation. Although the current computer computing power has developed rapidly, it still cannot meet the high real-time requirements of such methods. sexual needs.
技术问题technical problem
有鉴于此,本申请实施例提供了一种步态轨迹规划方法、装置、计算机可读存储介质及机器人,以解决现有技术无法进行高实时性的步态轨迹规划的问题。In view of this, the embodiments of the present application provide a gait trajectory planning method, device, computer-readable storage medium, and robot to solve the problem that high real-time gait trajectory planning cannot be performed in the prior art.
技术解决方案technical solutions
本申请实施例的第一方面提供了一种步态轨迹规划方法,可以包括:A first aspect of the embodiments of the present application provides a gait trajectory planning method, which may include:
获取机器人的标准步态轨迹库;所述标准步态轨迹库中包括若干个标准步态轨迹,且每个标准步态轨迹均对应于一种预设的标准行进速度;obtaining a standard gait trajectory library of the robot; the standard gait trajectory library includes several standard gait trajectories, and each standard gait trajectory corresponds to a preset standard traveling speed;
确定机器人的当前行进速度;Determine the current travel speed of the robot;
根据所述当前行进速度在所述标准步态轨迹库的标准步态轨迹中进行插值计算,得到与所述当前行进速度对应的目标步态轨迹。According to the current traveling speed, an interpolation calculation is performed in the standard gait track of the standard gait track library to obtain a target gait track corresponding to the current traveling speed.
进一步地,所述根据所述当前行进速度在所述标准步态轨迹库的标准步态轨迹中进行插值计算,得到与所述当前行进速度对应的目标步态轨迹,可以包括:Further, performing interpolation calculation in the standard gait trajectory of the standard gait trajectory library according to the current travel speed to obtain a target gait trajectory corresponding to the current travel speed may include:
根据下式在所述标准步态轨迹库的标准步态轨迹中进行插值计算:The interpolation calculation is performed in the standard gait trajectory of the standard gait trajectory library according to the following formula:
Figure PCTCN2021124621-appb-000001
Figure PCTCN2021124621-appb-000001
其中,n为标准行进速度的序号,1≤n≤N,N为标准行进速度的数目,vn为第n种标准行进速度,且v n≤v n+1
Figure PCTCN2021124621-appb-000002
为所述标准步态轨迹库中与vn对应的标准步态轨迹,
Figure PCTCN2021124621-appb-000003
为所述当前行进速度,gait(t)为与所述当前行进速度对应的目标步态轨迹。
Among them, n is the serial number of the standard travel speed, 1≤n≤N, N is the number of standard travel speeds, vn is the nth standard travel speed, and v n ≤ v n+1 ,
Figure PCTCN2021124621-appb-000002
is the standard gait trajectory corresponding to vn in the standard gait trajectory library,
Figure PCTCN2021124621-appb-000003
is the current traveling speed, and gait(t) is the target gait trajectory corresponding to the current traveling speed.
进一步地,在得到与所述当前行进速度对应的目标步态轨迹之后,所述步态轨迹规划方法还可以包括:Further, after obtaining the target gait trajectory corresponding to the current travel speed, the gait trajectory planning method may further include:
确定机器人的当前步态轨迹;Determine the current gait trajectory of the robot;
根据所述当前步态轨迹和所述目标步态轨迹进行轨迹拟合,得到从所述当前步态轨迹平滑过渡至所述目标步态轨迹的拟合步态轨迹。Perform trajectory fitting according to the current gait trajectory and the target gait trajectory to obtain a fitted gait trajectory that smoothly transitions from the current gait trajectory to the target gait trajectory.
进一步地,所述根据所述当前步态轨迹和所述目标步态轨迹进行轨迹拟合,可以包括:Further, performing trajectory fitting according to the current gait trajectory and the target gait trajectory may include:
构建与所述拟合步态轨迹对应的系数待定的拟合轨迹表达式;constructing a fitting trajectory expression with undetermined coefficients corresponding to the fitting gait trajectory;
根据所述当前步态轨迹和所述目标步态轨迹确定所述拟合轨迹表达式的边界约束条件;Determine the boundary constraints of the fitting trajectory expression according to the current gait trajectory and the target gait trajectory;
在预设的轨迹拟合时段内选取若干个指定时间点,并计算所述目标步态轨迹在各个指定时间点的取值;Selecting several designated time points within a preset trajectory fitting period, and calculating the value of the target gait trajectory at each designated time point;
根据所述目标步态轨迹在各个指定时间点的取值构建与所述拟合轨迹表达式对应的优化目标;Constructing an optimization target corresponding to the fitting trajectory expression according to the values of the target gait trajectory at each specified time point;
根据所述优化目标和所述边界约束条件确定所述拟合轨迹表达式的各个待定系数,以得到所述拟合步态轨迹。Various undetermined coefficients of the fitting trajectory expression are determined according to the optimization objective and the boundary constraints, so as to obtain the fitting gait trajectory.
进一步地,所述构建与所述拟合步态轨迹对应的系数待定的拟合轨迹表达式,可以包括:Further, the constructing a fitting trajectory expression with undetermined coefficients corresponding to the fitting gait trajectory may include:
构建如下式所示的拟合轨迹表达式:Construct the fitted trajectory expression as follows:
Figure PCTCN2021124621-appb-000004
Figure PCTCN2021124621-appb-000004
其中,t为时间变量,
Figure PCTCN2021124621-appb-000005
为所述拟合轨迹表达式,a i为待定系数,0≤i≤5。
where t is the time variable,
Figure PCTCN2021124621-appb-000005
is the fitting trajectory expression, a i is an undetermined coefficient, 0≤i≤5.
进一步地,所述根据所述当前步态轨迹和所述目标步态轨迹确定所述拟合轨迹表达式的边界约束条件,可以包括:Further, determining the boundary constraints of the fitting trajectory expression according to the current gait trajectory and the target gait trajectory may include:
确定如下式所示的边界约束条件:Determine boundary constraints as follows:
Figure PCTCN2021124621-appb-000006
Figure PCTCN2021124621-appb-000006
Figure PCTCN2021124621-appb-000007
Figure PCTCN2021124621-appb-000007
Figure PCTCN2021124621-appb-000008
Figure PCTCN2021124621-appb-000008
Figure PCTCN2021124621-appb-000009
Figure PCTCN2021124621-appb-000009
其中,
Figure PCTCN2021124621-appb-000010
为所述当前步态轨迹,
Figure PCTCN2021124621-appb-000011
为所述目标步态轨迹,t 0为所述拟合步态轨迹的起始时刻,T为所述拟合步态轨迹的终止时刻。
in,
Figure PCTCN2021124621-appb-000010
is the current gait trajectory,
Figure PCTCN2021124621-appb-000011
is the target gait trajectory, t 0 is the start time of the fitted gait trajectory, and T is the end moment of the fitted gait trajectory.
进一步地,所述根据所述目标步态轨迹在各个指定时间点的取值构建与所述拟合轨迹 表达式对应的优化目标,可以包括:Further, described according to the value of the target gait trajectory at each specified time point to construct the optimization target corresponding to the fitting trajectory expression, can include:
构建如下式所示的优化目标:Build an optimization objective as follows:
Figure PCTCN2021124621-appb-000012
Figure PCTCN2021124621-appb-000012
其中,t m为第m个指定时间点,0≤m≤M,M为指定时间点的个数。 Among them, t m is the mth specified time point, 0≤m≤M, and M is the number of specified time points.
本申请实施例的第二方面提供了一种步态轨迹规划装置,可以包括:A second aspect of the embodiments of the present application provides a gait trajectory planning device, which may include:
步态轨迹库获取模块,用于获取机器人的标准步态轨迹库;所述标准步态轨迹库中包括若干个标准步态轨迹,且每个标准步态轨迹均对应于一种预设的标准行进速度;The gait trajectory library acquisition module is used to acquire the standard gait trajectory library of the robot; the standard gait trajectory library includes several standard gait trajectories, and each standard gait trajectory corresponds to a preset standard travel speed;
速度确定模块,用于确定机器人的当前行进速度;The speed determination module is used to determine the current travel speed of the robot;
插值计算模块,用于根据所述当前行进速度在所述标准步态轨迹库的标准步态轨迹中进行插值计算,得到与所述当前行进速度对应的目标步态轨迹。An interpolation calculation module, configured to perform interpolation calculation in the standard gait trajectory of the standard gait trajectory library according to the current travel speed to obtain a target gait trajectory corresponding to the current travel speed.
进一步地,所述插值计算模块具体用于根据下式在所述标准步态轨迹库的标准步态轨迹中进行插值计算:Further, the interpolation calculation module is specifically used to perform interpolation calculation in the standard gait trajectory of the standard gait trajectory library according to the following formula:
Figure PCTCN2021124621-appb-000013
Figure PCTCN2021124621-appb-000013
其中,n为标准行进速度的序号,1≤n≤N,N为标准行进速度的数目,vn为第n种标准行进速度,且v n≤v n+1
Figure PCTCN2021124621-appb-000014
为所述标准步态轨迹库中与vn对应的标准步态轨迹,
Figure PCTCN2021124621-appb-000015
为所述当前行进速度,gait(t)为与所述当前行进速度对应的目标步态轨迹。
Among them, n is the serial number of the standard travel speed, 1≤n≤N, N is the number of standard travel speeds, vn is the nth standard travel speed, and v n ≤ v n+1 ,
Figure PCTCN2021124621-appb-000014
is the standard gait trajectory corresponding to vn in the standard gait trajectory library,
Figure PCTCN2021124621-appb-000015
is the current traveling speed, and gait(t) is the target gait trajectory corresponding to the current traveling speed.
进一步地,所述步态轨迹规划装置还可以包括:Further, the gait trajectory planning device may also include:
当前步态轨迹确定模块,用于确定机器人的当前步态轨迹;The current gait trajectory determination module is used to determine the current gait trajectory of the robot;
轨迹拟合模块,用于根据所述当前步态轨迹和所述目标步态轨迹进行轨迹拟合,得到从所述当前步态轨迹平滑过渡至所述目标步态轨迹的拟合步态轨迹。A trajectory fitting module, configured to perform trajectory fitting according to the current gait trajectory and the target gait trajectory, to obtain a fitted gait trajectory that smoothly transitions from the current gait trajectory to the target gait trajectory.
进一步地,所述轨迹拟合模块可以包括:Further, the trajectory fitting module may include:
拟合轨迹表达式构建单元,用于构建与所述拟合步态轨迹对应的系数待定的拟合轨迹表达式;a fitted trajectory expression construction unit, used for constructing a fitted trajectory expression with undetermined coefficients corresponding to the fitted gait trajectory;
边界约束条件确定单元,用于根据所述当前步态轨迹和所述目标步态轨迹确定所述拟合轨迹表达式的边界约束条件;a boundary constraint condition determining unit, configured to determine the boundary constraint condition of the fitting trajectory expression according to the current gait trajectory and the target gait trajectory;
指定时间点选取单元,用于在预设的轨迹拟合时段内选取若干个指定时间点,并计算所述目标步态轨迹在各个指定时间点的取值;A designated time point selection unit, used to select several designated time points within a preset trajectory fitting period, and calculate the value of the target gait trajectory at each designated time point;
优化目标构建单元,用于根据所述目标步态轨迹在各个指定时间点的取值构建与所述 拟合轨迹表达式对应的优化目标;An optimization target construction unit for constructing an optimization target corresponding to the fitting trajectory expression according to the value of the target gait trajectory at each specified time point;
待定系数求解单元,用于根据所述优化目标和所述边界约束条件确定所述拟合轨迹表达式的各个待定系数,以得到所述拟合步态轨迹。An undetermined coefficient solving unit, configured to determine each undetermined coefficient of the fitting trajectory expression according to the optimization objective and the boundary constraints, so as to obtain the fitting gait trajectory.
进一步地,所述拟合轨迹表达式构建单元具体用于构建如下式所示的拟合轨迹表达式:Further, the fitting trajectory expression building unit is specifically used to construct the fitting trajectory expression shown in the following formula:
Figure PCTCN2021124621-appb-000016
Figure PCTCN2021124621-appb-000016
其中,t为时间变量,
Figure PCTCN2021124621-appb-000017
为所述拟合轨迹表达式,a i为待定系数,0≤i≤5。
where t is the time variable,
Figure PCTCN2021124621-appb-000017
is the fitting trajectory expression, a i is an undetermined coefficient, 0≤i≤5.
进一步地,所述边界约束条件确定单元具体用于确定如下式所示的边界约束条件:Further, the boundary constraint determination unit is specifically used to determine the boundary constraint shown in the following formula:
Figure PCTCN2021124621-appb-000018
Figure PCTCN2021124621-appb-000018
Figure PCTCN2021124621-appb-000019
Figure PCTCN2021124621-appb-000019
Figure PCTCN2021124621-appb-000020
Figure PCTCN2021124621-appb-000020
Figure PCTCN2021124621-appb-000021
Figure PCTCN2021124621-appb-000021
其中,
Figure PCTCN2021124621-appb-000022
为所述当前步态轨迹,
Figure PCTCN2021124621-appb-000023
为所述目标步态轨迹,t 0为所述拟合步态轨迹的起始时刻,T为所述拟合步态轨迹的终止时刻。
in,
Figure PCTCN2021124621-appb-000022
is the current gait trajectory,
Figure PCTCN2021124621-appb-000023
is the target gait trajectory, t 0 is the start time of the fitted gait trajectory, and T is the end moment of the fitted gait trajectory.
进一步地,所述优化目标构建单元具体用于构建如下式所示的优化目标:Further, the optimization target construction unit is specifically used to construct the optimization target shown in the following formula:
Figure PCTCN2021124621-appb-000024
Figure PCTCN2021124621-appb-000024
其中,t为时间变量,
Figure PCTCN2021124621-appb-000025
为所述目标步态轨迹,t m为第m个指定时间点,0≤m≤M,M为指定时间点的个数。
where t is the time variable,
Figure PCTCN2021124621-appb-000025
is the target gait trajectory, t m is the mth specified time point, 0≤m≤M, and M is the number of specified time points.
本申请实施例的第三方面提供了一种计算机可读存储介质,所述计算机可读存储介质存储有计算机程序,所述计算机程序被处理器执行时实现上述任一种步态轨迹规划方法的步骤。A third aspect of the embodiments of the present application provides a computer-readable storage medium, where the computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, implements any of the above-mentioned gait trajectory planning methods step.
本申请实施例的第四方面提供了一种机器人,包括存储器、处理器以及存储在所述存储器中并可在所述处理器上运行的计算机程序,所述处理器执行所述计算机程序时实现上述任一种步态轨迹规划方法的步骤。A fourth aspect of the embodiments of the present application provides a robot, including a memory, a processor, and a computer program stored in the memory and executable on the processor, and the processor implements the computer program when the processor executes the computer program. The steps of any of the above gait trajectory planning methods.
本申请实施例的第五方面提供了一种计算机程序产品,当计算机程序产品在机器人上运行时,使得机器人执行上述任一种步态轨迹规划方法的步骤。A fifth aspect of the embodiments of the present application provides a computer program product, which, when the computer program product runs on a robot, causes the robot to execute the steps of any of the above gait trajectory planning methods.
有益效果beneficial effect
本申请实施例与现有技术相比存在的有益效果是:本申请实施例获取机器人的标准步态轨迹库;所述标准步态轨迹库中包括若干个标准步态轨迹,且每个标准步态轨迹均对应于一种预设的标准行进速度;确定机器人的当前行进速度;根据所述当前行进速度在所述标准步态轨迹库的标准步态轨迹中进行插值计算,得到与所述当前行进速度对应的目标步态轨迹。通过本申请实施例,仅通过对标准步态轨迹的插值计算即可得到与当前行进速度对应的目标步态轨迹,有效保证了步态轨迹规划的高实时性。The beneficial effects of the embodiments of the present application compared with the prior art are: the embodiments of the present application acquire a standard gait trajectory library of the robot; the standard gait trajectory library includes several standard gait trajectories, and each standard gait trajectory The gait trajectories all correspond to a preset standard travel speed; determine the current travel speed of the robot; perform interpolation calculation in the standard gait trajectory of the standard gait trajectory library according to the current travel speed, and obtain a The target gait trajectory corresponding to the travel speed. Through the embodiment of the present application, the target gait trajectory corresponding to the current traveling speed can be obtained only by the interpolation calculation of the standard gait trajectory, which effectively ensures the high real-time performance of the gait trajectory planning.
附图说明Description of drawings
为了更清楚地说明本申请实施例中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本申请的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其它的附图。In order to illustrate the technical solutions in the embodiments of the present application more clearly, the following briefly introduces the accompanying drawings that need to be used in the description of the embodiments or the prior art. Obviously, the drawings in the following description are only for the present application. In some embodiments, for those of ordinary skill in the art, other drawings can also be obtained according to these drawings without any creative effort.
图1为本申请实施例中一种步态轨迹规划方法的一个实施例流程图;1 is a flowchart of an embodiment of a gait trajectory planning method in an embodiment of the present application;
图2为机器人工作空间的状态轨迹的示意图;Fig. 2 is the schematic diagram of the state trajectory of the robot workspace;
图3为步态轨迹发生突变的示意图;Fig. 3 is a schematic diagram of the mutation of gait trajectory;
图4为根据当前步态轨迹和目标步态轨迹进行轨迹拟合的示意流程图;4 is a schematic flow chart of trajectory fitting according to the current gait trajectory and the target gait trajectory;
图5为拟合步态轨迹的示意图;Fig. 5 is the schematic diagram of fitting gait trajectory;
图6为本申请实施例中一种步态轨迹规划装置的一个实施例结构图;6 is a structural diagram of an embodiment of a gait trajectory planning device in an embodiment of the present application;
图7为本申请实施例中一种机器人的示意框图。FIG. 7 is a schematic block diagram of a robot in an embodiment of the present application.
本发明的实施方式Embodiments of the present invention
为使得本申请的发明目的、特征、优点能够更加的明显和易懂,下面将结合本申请实施例中的附图,对本申请实施例中的技术方案进行清楚、完整地描述,显然,下面所描述的实施例仅仅是本申请一部分实施例,而非全部的实施例。基于本申请中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其它实施例,都属于本申请保护的范围。In order to make the purpose, features and advantages of the invention of the present application more obvious and understandable, the technical solutions in the embodiments of the present application will be described clearly and completely below with reference to the accompanying drawings in the embodiments of the present application. Obviously, the following The described embodiments are only some, but not all, embodiments of the present application. Based on the embodiments in the present application, all other embodiments obtained by those of ordinary skill in the art without creative work fall within the protection scope of the present application.
应当理解,当在本说明书和所附权利要求书中使用时,术语“包括”指示所描述特征、整体、步骤、操作、元素和/或组件的存在,但并不排除一个或多个其它特征、整体、步骤、操作、元素、组件和/或其集合的存在或添加。It is to be understood that, when used in this specification and the appended claims, the term "comprising" indicates the presence of the described feature, integer, step, operation, element and/or component, but does not exclude one or more other features , whole, step, operation, element, component and/or the presence or addition of a collection thereof.
还应当理解,在此本申请说明书中所使用的术语仅仅是出于描述特定实施例的目的而并不意在限制本申请。如在本申请说明书和所附权利要求书中所使用的那样,除非上下文清楚地指明其它情况,否则单数形式的“一”、“一个”及“该”意在包括复数形式。It should also be understood that the terminology used in the specification of the application herein is for the purpose of describing particular embodiments only and is not intended to limit the application. As used in this specification and the appended claims, the singular forms "a," "an," and "the" are intended to include the plural unless the context clearly dictates otherwise.
还应当进一步理解,在本申请说明书和所附权利要求书中使用的术语“和/或”是指相关联列出的项中的一个或多个的任何组合以及所有可能组合,并且包括这些组合。It should also be further understood that, as used in this specification and the appended claims, the term "and/or" refers to and including any and all possible combinations of one or more of the associated listed items .
如在本说明书和所附权利要求书中所使用的那样,术语“如果”可以依据上下文被解释为“当...时”或“一旦”或“响应于确定”或“响应于检测到”。类似地,短语“如果确定”或“如果检测到[所描述条件或事件]”可以依据上下文被解释为意指“一旦确定”或“响应于确定”或“一旦检测到[所描述条件或事件]”或“响应于检测到[所描述条件或事件]”。As used in this specification and the appended claims, the term "if" may be contextually interpreted as "when" or "once" or "in response to determining" or "in response to detecting" . Similarly, the phrases "if it is determined" or "if the [described condition or event] is detected" may be interpreted, depending on the context, to mean "once it is determined" or "in response to the determination" or "once the [described condition or event] is detected. ]" or "in response to detection of the [described condition or event]".
另外,在本申请的描述中,术语“第一”、“第二”、“第三”等仅用于区分描述, 而不能理解为指示或暗示相对重要性。In addition, in the description of the present application, the terms "first", "second", "third", etc. are only used to distinguish the description, and cannot be understood as indicating or implying relative importance.
请参阅图1,本申请实施例中一种步态轨迹规划方法的一个实施例可以包括:Referring to FIG. 1, an embodiment of a gait trajectory planning method in the embodiment of the present application may include:
步骤S101、获取机器人的标准步态轨迹库。Step S101 , obtaining a standard gait trajectory library of the robot.
其中,所述标准步态轨迹库中包括若干个标准步态轨迹,且每个标准步态轨迹均对应于一种预设的标准行进速度。Wherein, the standard gait trajectory library includes several standard gait trajectories, and each standard gait trajectory corresponds to a preset standard traveling speed.
本申请实施例中的步态轨迹可以是指某种单一的状态轨迹,也可以是指多种状态轨迹的组合。图2所示即为一些机器人工作空间的状态轨迹的示意图,包括但不限于上身姿态的俯仰角θ t(t)和横滚角γ t(t),上身相对于支撑脚的前向位置x t(t)、横向位置y t(t)和高度h t(t),以及摆动脚相对于腰的前向位置x f(t)、横向位置y f(t)和摆动脚相对于地面的高度z f(t),其中,t为时间变量。优选地,本申请实施例中的步态轨迹可以是上述这些状态轨迹的组合,即: The gait trajectory in this embodiment of the present application may refer to a certain single state trajectory, or may refer to a combination of multiple state trajectories. Figure 2 shows a schematic diagram of the state trajectory of some robot workspaces, including but not limited to the pitch angle θ t (t) and roll angle γ t (t) of the upper body posture, the forward position x of the upper body relative to the support feet t (t), lateral position y t (t) and height h t (t), and forward position x f (t), lateral position y f (t) of the swing foot relative to the waist, and the swing foot relative to the ground Height z f (t), where t is a time variable. Preferably, the gait trajectory in this embodiment of the present application may be a combination of the above state trajectories, namely:
gait(t)=[θ t(t),γ t(t),x t(t),y t(t),h t(t),x f(t),y f(t),z f(t)] gait(t)=[θt(t),γt( t ), xt ( t ),yt( t ),ht( t ),xf( t ), yf ( t ),zf (t)]
对于任意一种标准行进速度而言,可以预先通过机器人的全动力学模型生成预设的步态周期(记为T)下的步态轨迹,将这一步态轨迹作为与该标准行进速度对应的标准步态轨迹。For any standard travel speed, the gait trajectory under a preset gait cycle (marked as T) can be generated in advance through the full dynamic model of the robot, and this gait trajectory can be used as the corresponding standard travel speed. Standard gait trajectory.
设置多少种标准行进速度,以及每种标准行进速度的具体取值均可以根据实际情况进行设置,本申请实施例对此不作具体限定。The number of standard traveling speeds to be set and the specific value of each standard traveling speed can be set according to actual conditions, which are not specifically limited in this embodiment of the present application.
步骤S102、确定机器人的当前行进速度。Step S102, determining the current traveling speed of the robot.
对于机器人行进过程中的某个时刻t,可以将此时机器人腰的前向速度实测值作为当前行进速度,将其记为
Figure PCTCN2021124621-appb-000026
For a certain time t during the robot's traveling process, the measured value of the forward speed of the robot's waist at this time can be taken as the current traveling speed, which is recorded as
Figure PCTCN2021124621-appb-000026
步骤S103、根据所述当前行进速度在所述标准步态轨迹库的标准步态轨迹中进行插值计算,得到与所述当前行进速度对应的目标步态轨迹。Step S103: Perform interpolation calculation in the standard gait trajectory of the standard gait trajectory library according to the current travel speed to obtain a target gait trajectory corresponding to the current travel speed.
具体地,可以根据下式在所述标准步态轨迹库的标准步态轨迹中进行插值计算:Specifically, interpolation calculation can be performed in the standard gait trajectory of the standard gait trajectory library according to the following formula:
Figure PCTCN2021124621-appb-000027
Figure PCTCN2021124621-appb-000027
其中,n为标准行进速度的序号,1≤n≤N,N为标准行进速度的数目,vn为第n种标准行进速度,且v n≤v n+1
Figure PCTCN2021124621-appb-000028
为所述标准步态轨迹库中与vn对应的标准步态轨迹,gait(t)为与所述当前行进速度对应的目标步态轨迹。
Among them, n is the serial number of the standard travel speed, 1≤n≤N, N is the number of standard travel speeds, vn is the nth standard travel speed, and v n ≤ v n+1 ,
Figure PCTCN2021124621-appb-000028
is the standard gait trajectory corresponding to vn in the standard gait trajectory library, and gait(t) is the target gait trajectory corresponding to the current traveling speed.
例如,假设标准行进速度的数目为4,分别为0m/s、0.3m/s、0.6m/s和0.9m/s,对应的标准步态轨迹分别为gait v0、gait v0.3、gait v0.6和gait v0.9,则可以根据下式进行插值计算: For example, assuming that the number of standard travel speeds is 4, which are 0m/s, 0.3m/s, 0.6m/s, and 0.9m/s, the corresponding standard gait trajectories are gait v0 , gait v0.3 , and gait v0 , respectively .6 and gait v0.9 , the interpolation calculation can be performed according to the following formula:
Figure PCTCN2021124621-appb-000029
Figure PCTCN2021124621-appb-000029
在这种方式下,机器人在行进过程中即使受到速度扰动也可以实时选择最适合当前速度的步态轨迹,保证自身的稳定。In this way, the robot can select the gait trajectory most suitable for the current speed in real time even if it is disturbed by the speed during the traveling process, so as to ensure its own stability.
但是,当机器人受到扰动时,往往会有速度的突变,因此通过上述方式进行步态轨迹规划时,也会带来步态轨迹的突变,这也会造成机器人行走的不稳定。图3所示即为步态轨迹发生突变的示意图,图中是以摆动脚相对于腰的前向位置x f(t)为例进行说明。假设机器人的行进速度0m/s,即原地踏步的步态,在步态周期的第0.1s时刻,突然受到扰动,导致行进速度突变为0.6m/s,则需要从0m/s的步态轨迹切换到0.6m/s的步态轨迹上,从而造成机器人行走的不稳定。 However, when the robot is disturbed, there is often a sudden change in speed. Therefore, when the gait trajectory planning is carried out in the above way, it will also bring about a sudden change in the gait trajectory, which will also cause the robot to walk unstable. FIG. 3 is a schematic diagram of the sudden change of the gait trajectory, in which the forward position x f (t) of the swinging foot relative to the waist is used as an example for illustration. Assuming that the traveling speed of the robot is 0m/s, that is, the gait of walking on the spot, at the 0.1s moment of the gait cycle, it is suddenly disturbed, resulting in the sudden change of the traveling speed to 0.6m/s, and the gait from 0m/s is required. The trajectory is switched to the gait trajectory of 0.6m/s, which causes the instability of the robot's walking.
针对这一问题,本申请实施例中可以在确定机器人的当前步态轨迹以及计算得到所述目标步态轨迹的前提下,根据所述当前步态轨迹和所述目标步态轨迹进行轨迹拟合,得到从所述当前步态轨迹平滑过渡至所述目标步态轨迹的拟合步态轨迹。In response to this problem, in the embodiment of the present application, on the premise of determining the current gait trajectory of the robot and calculating the target gait trajectory, trajectory fitting can be performed according to the current gait trajectory and the target gait trajectory , to obtain a fitted gait trajectory that smoothly transitions from the current gait trajectory to the target gait trajectory.
如图4所示,轨迹拟合的过程具体可以包括如下步骤:As shown in Figure 4, the process of trajectory fitting may specifically include the following steps:
步骤S401、构建与所述拟合步态轨迹对应的系数待定的拟合轨迹表达式。Step S401 , constructing a fitting trajectory expression with undetermined coefficients corresponding to the fitting gait trajectory.
具体使用何种表达式可以根据实际情况进行设置,包括但不限于高阶多项式和贝塞尔曲线等。例如,若使用6阶多项式,则可以构建如下式所示的拟合轨迹表达式:The specific expression used can be set according to the actual situation, including but not limited to high-order polynomials and Bezier curves. For example, using a polynomial of degree 6, the fitted trajectory expression can be constructed as follows:
Figure PCTCN2021124621-appb-000030
Figure PCTCN2021124621-appb-000030
其中,
Figure PCTCN2021124621-appb-000031
为所述拟合轨迹表达式,a i为待定系数,0≤i≤5,即共有a 0、a 1、a 2、a 3、a 4、a 5这6个待定系数。
in,
Figure PCTCN2021124621-appb-000031
For the fitting trajectory expression, a i is an undetermined coefficient, 0≤i≤5, that is, there are altogether 6 undetermined coefficients a 0 , a 1 , a 2 , a 3 , a 4 , and a 5 .
对其求导则可得到相应的速度表达式,即:The corresponding velocity expression can be obtained by taking the derivative of it, namely:
Figure PCTCN2021124621-appb-000032
Figure PCTCN2021124621-appb-000032
步骤S402、根据所述当前步态轨迹和所述目标步态轨迹确定所述拟合轨迹表达式的边界约束条件。Step S402: Determine boundary constraints of the fitting trajectory expression according to the current gait trajectory and the target gait trajectory.
在一个步态周期下的时间范围为[0,T],所述拟合步态轨迹需要连接当前时刻t 0时所述当前步态轨迹的位置和最终时刻T时所述目标步态轨迹的位置,同时满足速度连续,即要求确定如下式所示的边界约束条件: The time range under one gait cycle is [0, T], and the fitting gait trajectory needs to connect the position of the current gait trajectory at the current time t 0 and the target gait trajectory at the final time T position, and at the same time satisfy the velocity continuity, that is, it is required to determine the boundary constraints shown in the following formula:
Figure PCTCN2021124621-appb-000033
Figure PCTCN2021124621-appb-000033
Figure PCTCN2021124621-appb-000034
Figure PCTCN2021124621-appb-000034
Figure PCTCN2021124621-appb-000035
Figure PCTCN2021124621-appb-000035
Figure PCTCN2021124621-appb-000036
Figure PCTCN2021124621-appb-000036
其中,
Figure PCTCN2021124621-appb-000037
为所述当前步态轨迹,
Figure PCTCN2021124621-appb-000038
为所述目标步态轨迹,t 0为所述拟合步态轨迹的起始时刻,T为所述拟合步态轨迹的终止时刻。
in,
Figure PCTCN2021124621-appb-000037
is the current gait trajectory,
Figure PCTCN2021124621-appb-000038
is the target gait trajectory, t 0 is the start time of the fitted gait trajectory, and T is the end moment of the fitted gait trajectory.
例如,若使用6阶多项式,则对应的边界约束条件为:For example, if a 6th order polynomial is used, the corresponding boundary constraints are:
Figure PCTCN2021124621-appb-000039
Figure PCTCN2021124621-appb-000039
Figure PCTCN2021124621-appb-000040
Figure PCTCN2021124621-appb-000040
Figure PCTCN2021124621-appb-000041
Figure PCTCN2021124621-appb-000041
Figure PCTCN2021124621-appb-000042
Figure PCTCN2021124621-appb-000042
步骤S403、在预设的轨迹拟合时段内选取若干个指定时间点,并计算所述目标步态轨迹在各个指定时间点的取值。Step S403: Select several designated time points within a preset trajectory fitting period, and calculate the value of the target gait trajectory at each designated time point.
所述轨迹拟合时段即为[t 0,T],指定时间点的数目可以根据实际情况进行设置。优选地,可以选取如下所示的两个指定时间点t 1和t 2The trajectory fitting period is [t 0 , T], and the number of specified time points can be set according to the actual situation. Preferably, two specified time points t 1 and t 2 can be selected as follows:
Figure PCTCN2021124621-appb-000043
Figure PCTCN2021124621-appb-000043
在选取指定时间点之后,则可以分别计算所述目标步态轨迹在各个指定时间点的取值,即
Figure PCTCN2021124621-appb-000044
Figure PCTCN2021124621-appb-000045
After selecting the specified time point, the value of the target gait trajectory at each specified time point can be calculated separately, that is,
Figure PCTCN2021124621-appb-000044
and
Figure PCTCN2021124621-appb-000045
步骤S404、根据所述目标步态轨迹在各个指定时间点的取值构建与所述拟合轨迹表达式对应的优化目标。Step S404 , constructing an optimization target corresponding to the fitting trajectory expression according to the values of the target gait trajectory at each specified time point.
具体地,可以构建如下式所示的优化目标:Specifically, the optimization objective can be constructed as follows:
Figure PCTCN2021124621-appb-000046
Figure PCTCN2021124621-appb-000046
也即使得所述拟合轨迹尽量接近于所述目标步态轨迹,两者之间的偏差最小化,其中,t m为第m个指定时间点,0≤m≤M,M为指定时间点的个数。 That is, the fitting trajectory is as close as possible to the target gait trajectory, and the deviation between the two is minimized, wherein t m is the mth specified time point, 0≤m≤M, and M is the specified time point number of.
例如,若使用6阶多项式,且仅选取两个指定时间点t 1和t 2,则对应的优化目标为: For example, if a 6th-order polynomial is used and only two specified time points t 1 and t 2 are selected, the corresponding optimization objective is:
Figure PCTCN2021124621-appb-000047
Figure PCTCN2021124621-appb-000047
步骤S405、根据所述优化目标和所述边界约束条件确定所述拟合轨迹表达式的各个待定系数,以得到所述拟合步态轨迹。Step S405: Determine each undetermined coefficient of the fitting trajectory expression according to the optimization objective and the boundary constraint condition to obtain the fitting gait trajectory.
例如,可以使用qpOASES等常见优化工具对这一优化问题进行分析,求解出所述拟合轨迹表达式的各个待定系数,从而得到所述拟合步态轨迹。图5所示即为与图3中的例子所对应的拟合步态轨迹,通过这一拟合步态轨迹,实现了从当前轨迹到新轨迹的平滑连续切换。在每一时刻都会重复上述轨迹拟合过程,即进行滚动式的轨迹拟合。For example, common optimization tools such as qpOASES can be used to analyze this optimization problem, and various undetermined coefficients of the fitted trajectory expression can be solved, thereby obtaining the fitted gait trajectory. Figure 5 shows the fitted gait trajectory corresponding to the example in Figure 3. Through this fitted gait trajectory, a smooth and continuous switching from the current trajectory to the new trajectory is realized. The above trajectory fitting process is repeated at each moment, that is, rolling trajectory fitting is performed.
需要注意的是,以上叙述中只是以摆动脚相对于腰的前向位置x f(t)为例进行说明,对 于其它的状态轨迹均可参照上述方式进行处理,此处不再赘述。 It should be noted that the above description only takes the forward position x f (t) of the swinging foot relative to the waist as an example for description, and other state trajectories can be processed by referring to the above method, which will not be repeated here.
综上所述,本申请实施例获取机器人的标准步态轨迹库;所述标准步态轨迹库中包括若干个标准步态轨迹,且每个标准步态轨迹均对应于一种预设的标准行进速度;确定机器人的当前行进速度;根据所述当前行进速度在所述标准步态轨迹库的标准步态轨迹中进行插值计算,得到与所述当前行进速度对应的目标步态轨迹。通过本申请实施例,仅通过对标准步态轨迹的插值计算即可得到与当前行进速度对应的目标步态轨迹,有效保证了步态轨迹规划的高实时性。To sum up, in this embodiment of the present application, the standard gait trajectory library of the robot is obtained; the standard gait trajectory library includes several standard gait trajectories, and each standard gait trajectory corresponds to a preset standard travel speed; determine the current travel speed of the robot; perform interpolation calculation in the standard gait trajectory of the standard gait trajectory library according to the current travel speed to obtain a target gait trajectory corresponding to the current travel speed. Through the embodiment of the present application, the target gait trajectory corresponding to the current traveling speed can be obtained only by the interpolation calculation of the standard gait trajectory, which effectively ensures the high real-time performance of the gait trajectory planning.
应理解,上述实施例中各步骤的序号的大小并不意味着执行顺序的先后,各过程的执行顺序应以其功能和内在逻辑确定,而不应对本申请实施例的实施过程构成任何限定。It should be understood that the size of the sequence numbers of the steps in the above embodiments does not mean the sequence of execution, and the execution sequence of each process should be determined by its function and internal logic, and should not constitute any limitation to the implementation process of the embodiments of the present application.
对应于上文实施例所述的一种步态轨迹规划方法,图6示出了本申请实施例提供的一种步态轨迹规划装置的一个实施例结构图。Corresponding to a gait trajectory planning method described in the above embodiment, FIG. 6 shows a structural diagram of an embodiment of a gait trajectory planning apparatus provided by an embodiment of the present application.
本实施例中,一种步态轨迹规划装置可以包括:In this embodiment, a gait trajectory planning device may include:
步态轨迹库获取模块601,用于获取机器人的标准步态轨迹库;所述标准步态轨迹库中包括若干个标准步态轨迹,且每个标准步态轨迹均对应于一种预设的标准行进速度;The gait trajectory library acquisition module 601 is used to acquire the standard gait trajectory library of the robot; the standard gait trajectory library includes several standard gait trajectories, and each standard gait trajectory corresponds to a preset gait trajectory standard travel speed;
速度确定模块602,用于确定机器人的当前行进速度;a speed determination module 602, used to determine the current travel speed of the robot;
插值计算模块603,用于根据所述当前行进速度在所述标准步态轨迹库的标准步态轨迹中进行插值计算,得到与所述当前行进速度对应的目标步态轨迹。The interpolation calculation module 603 is configured to perform interpolation calculation in the standard gait trajectory of the standard gait trajectory library according to the current travel speed to obtain a target gait trajectory corresponding to the current travel speed.
进一步地,所述插值计算模块具体用于根据下式在所述标准步态轨迹库的标准步态轨迹中进行插值计算:Further, the interpolation calculation module is specifically used to perform interpolation calculation in the standard gait trajectory of the standard gait trajectory library according to the following formula:
Figure PCTCN2021124621-appb-000048
Figure PCTCN2021124621-appb-000048
其中,n为标准行进速度的序号,1≤n≤N,N为标准行进速度的数目,vn为第n种标准行进速度,且v n≤v n+1
Figure PCTCN2021124621-appb-000049
为所述标准步态轨迹库中与vn对应的标准步态轨迹,
Figure PCTCN2021124621-appb-000050
为所述当前行进速度,gait(t)为与所述当前行进速度对应的目标步态轨迹。
Among them, n is the serial number of the standard travel speed, 1≤n≤N, N is the number of standard travel speeds, vn is the nth standard travel speed, and v n ≤ v n+1 ,
Figure PCTCN2021124621-appb-000049
is the standard gait trajectory corresponding to vn in the standard gait trajectory library,
Figure PCTCN2021124621-appb-000050
is the current traveling speed, and gait(t) is the target gait trajectory corresponding to the current traveling speed.
进一步地,所述步态轨迹规划装置还可以包括:Further, the gait trajectory planning device may also include:
当前步态轨迹确定模块,用于确定机器人的当前步态轨迹;The current gait trajectory determination module is used to determine the current gait trajectory of the robot;
轨迹拟合模块,用于根据所述当前步态轨迹和所述目标步态轨迹进行轨迹拟合,得到从所述当前步态轨迹平滑过渡至所述目标步态轨迹的拟合步态轨迹。A trajectory fitting module, configured to perform trajectory fitting according to the current gait trajectory and the target gait trajectory, to obtain a fitted gait trajectory that smoothly transitions from the current gait trajectory to the target gait trajectory.
进一步地,所述轨迹拟合模块可以包括:Further, the trajectory fitting module may include:
拟合轨迹表达式构建单元,用于构建与所述拟合步态轨迹对应的系数待定的拟合轨迹 表达式;a fitting trajectory expression construction unit, used for constructing a fitting trajectory expression with undetermined coefficients corresponding to the fitted gait trajectory;
边界约束条件确定单元,用于根据所述当前步态轨迹和所述目标步态轨迹确定所述拟合轨迹表达式的边界约束条件;a boundary constraint condition determining unit, configured to determine the boundary constraint condition of the fitting trajectory expression according to the current gait trajectory and the target gait trajectory;
指定时间点选取单元,用于在预设的轨迹拟合时段内选取若干个指定时间点,并计算所述目标步态轨迹在各个指定时间点的取值;A designated time point selection unit, used to select several designated time points within a preset trajectory fitting period, and calculate the value of the target gait trajectory at each designated time point;
优化目标构建单元,用于根据所述目标步态轨迹在各个指定时间点的取值构建与所述拟合轨迹表达式对应的优化目标;an optimization target construction unit, configured to construct an optimization target corresponding to the fitting trajectory expression according to the values of the target gait trajectory at each specified time point;
待定系数求解单元,用于根据所述优化目标和所述边界约束条件确定所述拟合轨迹表达式的各个待定系数,以得到所述拟合步态轨迹。An undetermined coefficient solving unit, configured to determine each undetermined coefficient of the fitting trajectory expression according to the optimization objective and the boundary constraints, so as to obtain the fitting gait trajectory.
进一步地,所述拟合轨迹表达式构建单元具体用于构建如下式所示的拟合轨迹表达式:Further, the fitting trajectory expression building unit is specifically used to construct the fitting trajectory expression shown in the following formula:
Figure PCTCN2021124621-appb-000051
Figure PCTCN2021124621-appb-000051
其中,t为时间变量,
Figure PCTCN2021124621-appb-000052
为所述拟合轨迹表达式,a i为待定系数,0≤i≤5。
where t is the time variable,
Figure PCTCN2021124621-appb-000052
is the fitting trajectory expression, a i is an undetermined coefficient, 0≤i≤5.
进一步地,所述边界约束条件确定单元具体用于确定如下式所示的边界约束条件:Further, the boundary constraint determination unit is specifically used to determine the boundary constraint shown in the following formula:
Figure PCTCN2021124621-appb-000053
Figure PCTCN2021124621-appb-000053
Figure PCTCN2021124621-appb-000054
Figure PCTCN2021124621-appb-000054
Figure PCTCN2021124621-appb-000055
Figure PCTCN2021124621-appb-000055
Figure PCTCN2021124621-appb-000056
Figure PCTCN2021124621-appb-000056
其中,
Figure PCTCN2021124621-appb-000057
为所述当前步态轨迹,
Figure PCTCN2021124621-appb-000058
为所述目标步态轨迹,t 0为所述拟合步态轨迹的起始时刻,T为所述拟合步态轨迹的终止时刻。
in,
Figure PCTCN2021124621-appb-000057
is the current gait trajectory,
Figure PCTCN2021124621-appb-000058
is the target gait trajectory, t 0 is the start time of the fitted gait trajectory, and T is the end moment of the fitted gait trajectory.
进一步地,所述优化目标构建单元具体用于构建如下式所示的优化目标:Further, the optimization target construction unit is specifically used to construct the optimization target shown in the following formula:
Figure PCTCN2021124621-appb-000059
Figure PCTCN2021124621-appb-000059
其中,t m为第m个指定时间点,0≤m≤M,M为指定时间点的个数。 Among them, t m is the mth specified time point, 0≤m≤M, and M is the number of specified time points.
所属领域的技术人员可以清楚地了解到,为描述的方便和简洁,上述描述的装置,模块和单元的具体工作过程,可以参考前述方法实施例中的对应过程,在此不再赘述。Those skilled in the art can clearly understand that, for the convenience and brevity of description, the specific working process of the above-described devices, modules and units can be referred to the corresponding processes in the foregoing method embodiments, which will not be repeated here.
在上述实施例中,对各个实施例的描述都各有侧重,某个实施例中没有详述或记载的部分,可以参见其它实施例的相关描述。In the foregoing embodiments, the description of each embodiment has its own emphasis. For parts that are not described or described in detail in a certain embodiment, reference may be made to the relevant descriptions of other embodiments.
图7示出了本申请实施例提供的一种机器人的示意框图,为了便于说明,仅示出了与本申请实施例相关的部分。FIG. 7 shows a schematic block diagram of a robot provided by an embodiment of the present application. For convenience of description, only parts related to the embodiment of the present application are shown.
如图7所示,该实施例的机器人7包括:处理器70、存储器71以及存储在所述存储器71中并可在所述处理器70上运行的计算机程序72。所述处理器70执行所述计算机程序72时实现上述各个步态轨迹规划方法实施例中的步骤,例如图1所示的步骤S101至步骤S103。或者,所述处理器70执行所述计算机程序72时实现上述各装置实施例中各模块 /单元的功能,例如图6所示模块601至模块603的功能。As shown in FIG. 7 , the robot 7 of this embodiment includes a processor 70 , a memory 71 , and a computer program 72 stored in the memory 71 and executable on the processor 70 . When the processor 70 executes the computer program 72 , the steps in each of the above embodiments of the gait trajectory planning method are implemented, for example, steps S101 to S103 shown in FIG. 1 . Alternatively, when the processor 70 executes the computer program 72, the functions of the modules/units in the above device embodiments, for example, the functions of the modules 601 to 603 shown in FIG. 6 are implemented.
示例性的,所述计算机程序72可以被分割成一个或多个模块/单元,所述一个或者多个模块/单元被存储在所述存储器71中,并由所述处理器70执行,以完成本申请。所述一个或多个模块/单元可以是能够完成特定功能的一系列计算机程序指令段,该指令段用于描述所述计算机程序72在所述机器人7中的执行过程。Exemplarily, the computer program 72 may be divided into one or more modules/units, and the one or more modules/units are stored in the memory 71 and executed by the processor 70 to complete the this application. The one or more modules/units may be a series of computer program instruction segments capable of performing specific functions, and the instruction segments are used to describe the execution process of the computer program 72 in the robot 7 .
本领域技术人员可以理解,图7仅仅是机器人7的示例,并不构成对机器人7的限定,可以包括比图示更多或更少的部件,或者组合某些部件,或者不同的部件,例如所述机器人7还可以包括输入输出设备、网络接入设备、总线等。Those skilled in the art can understand that FIG. 7 is only an example of the robot 7, and does not constitute a limitation to the robot 7. It may include more or less components than the one shown, or combine some components, or different components, such as The robot 7 may also include input and output devices, network access devices, buses, and the like.
所述处理器70可以是中央处理单元(Central Processing Unit,CPU),还可以是其它通用处理器、数字信号处理器(Digital Signal Processor,DSP)、专用集成电路(Application Specific Integrated Circuit,ASIC)、现场可编程门阵列(Field-Programmable Gate Array,FPGA)或者其它可编程逻辑器件、分立门或者晶体管逻辑器件、分立硬件组件等。通用处理器可以是微处理器或者该处理器也可以是任何常规的处理器等。The processor 70 may be a central processing unit (Central Processing Unit, CPU), or other general-purpose processors, digital signal processors (Digital Signal Processor, DSP), application specific integrated circuit (Application Specific Integrated Circuit, ASIC), Field-Programmable Gate Array (FPGA) or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like.
所述存储器71可以是所述机器人7的内部存储单元,例如机器人7的硬盘或内存。所述存储器71也可以是所述机器人7的外部存储设备,例如所述机器人7上配备的插接式硬盘,智能存储卡(Smart Media Card,SMC),安全数字(Secure Digital,SD)卡,闪存卡(Flash Card)等。进一步地,所述存储器71还可以既包括所述机器人7的内部存储单元也包括外部存储设备。所述存储器71用于存储所述计算机程序以及所述机器人7所需的其它程序和数据。所述存储器71还可以用于暂时地存储已经输出或者将要输出的数据。The memory 71 may be an internal storage unit of the robot 7 , such as a hard disk or a memory of the robot 7 . The memory 71 can also be an external storage device of the robot 7, such as a plug-in hard disk equipped on the robot 7, a smart memory card (Smart Media Card, SMC), a secure digital (Secure Digital, SD) card, Flash card (Flash Card) and so on. Further, the memory 71 may also include both an internal storage unit of the robot 7 and an external storage device. The memory 71 is used to store the computer program and other programs and data required by the robot 7 . The memory 71 may also be used to temporarily store data that has been output or will be output.
所属领域的技术人员可以清楚地了解到,为了描述的方便和简洁,仅以上述各功能单元、模块的划分进行举例说明,实际应用中,可以根据需要而将上述功能分配由不同的功能单元、模块完成,即将所述装置的内部结构划分成不同的功能单元或模块,以完成以上描述的全部或者部分功能。实施例中的各功能单元、模块可以集成在一个处理单元中,也可以是各个单元单独物理存在,也可以两个或两个以上单元集成在一个单元中,上述集成的单元既可以采用硬件的形式实现,也可以采用软件功能单元的形式实现。另外,各功能单元、模块的具体名称也只是为了便于相互区分,并不用于限制本申请的保护范围。上述系统中单元、模块的具体工作过程,可以参考前述方法实施例中的对应过程,在此不再赘述。Those skilled in the art can clearly understand that, for the convenience and simplicity of description, only the division of the above-mentioned functional units and modules is used as an example. Module completion, that is, dividing the internal structure of the device into different functional units or modules to complete all or part of the functions described above. Each functional unit and module in the embodiment may be integrated in one processing unit, or each unit may exist physically alone, or two or more units may be integrated in one unit, and the above-mentioned integrated units may adopt hardware. It can also be realized in the form of software functional units. In addition, the specific names of the functional units and modules are only for the convenience of distinguishing from each other, and are not used to limit the protection scope of the present application. For the specific working processes of the units and modules in the above-mentioned system, reference may be made to the corresponding processes in the foregoing method embodiments, which will not be repeated here.
在上述实施例中,对各个实施例的描述都各有侧重,某个实施例中没有详述或记载的部分,可以参见其它实施例的相关描述。In the foregoing embodiments, the description of each embodiment has its own emphasis. For parts that are not described or described in detail in a certain embodiment, reference may be made to the relevant descriptions of other embodiments.
本领域普通技术人员可以意识到,结合本文中所公开的实施例描述的各示例的单元及 算法步骤,能够以电子硬件、或者计算机软件和电子硬件的结合来实现。这些功能究竟以硬件还是软件方式来执行,取决于技术方案的特定应用和设计约束条件。专业技术人员可以对每个特定的应用来使用不同方法来实现所描述的功能,但是这种实现不应认为超出本申请的范围。Those of ordinary skill in the art can realize that the units and algorithm steps of each example described in conjunction with the embodiments disclosed herein can be implemented by electronic hardware, or a combination of computer software and electronic hardware. Whether these functions are performed in hardware or software depends on the specific application and design constraints of the technical solution. Skilled artisans may implement the described functionality using different methods for each particular application, but such implementations should not be considered beyond the scope of this application.
在本申请所提供的实施例中,应该理解到,所揭露的装置/机器人和方法,可以通过其它的方式实现。例如,以上所描述的装置/机器人实施例仅仅是示意性的,例如,所述模块或单元的划分,仅仅为一种逻辑功能划分,实际实现时可以有另外的划分方式,例如多个单元或组件可以结合或者可以集成到另一个系统,或一些特征可以忽略,或不执行。另一点,所显示或讨论的相互之间的耦合或直接耦合或通讯连接可以是通过一些接口,装置或单元的间接耦合或通讯连接,可以是电性,机械或其它的形式。In the embodiments provided in this application, it should be understood that the disclosed apparatus/robot and method may be implemented in other ways. For example, the device/robot embodiments described above are only illustrative. For example, the division of the modules or units is only a logical function division. In actual implementation, there may be other division methods, such as multiple units or Components may be combined or may be integrated into another system, or some features may be omitted, or not implemented. On the other hand, the shown or discussed mutual coupling or direct coupling or communication connection may be through some interfaces, indirect coupling or communication connection of devices or units, and may be in electrical, mechanical or other forms.
所述作为分离部件说明的单元可以是或者也可以不是物理上分开的,作为单元显示的部件可以是或者也可以不是物理单元,即可以位于一个地方,或者也可以分布到多个网络单元上。可以根据实际的需要选择其中的部分或者全部单元来实现本实施例方案的目的。The units described as separate components may or may not be physically separated, and components displayed as units may or may not be physical units, that is, may be located in one place, or may be distributed to multiple network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution in this embodiment.
另外,在本申请各个实施例中的各功能单元可以集成在一个处理单元中,也可以是各个单元单独物理存在,也可以两个或两个以上单元集成在一个单元中。上述集成的单元既可以采用硬件的形式实现,也可以采用软件功能单元的形式实现。In addition, each functional unit in each embodiment of the present application may be integrated into one processing unit, or each unit may exist physically alone, or two or more units may be integrated into one unit. The above-mentioned integrated units may be implemented in the form of hardware, or may be implemented in the form of software functional units.
所述集成的模块/单元如果以软件功能单元的形式实现并作为独立的产品销售或使用时,可以存储在一个计算机可读存储介质中。基于这样的理解,本申请实现上述实施例方法中的全部或部分流程,也可以通过计算机程序来指令相关的硬件来完成,所述的计算机程序可存储于一计算机可读存储介质中,该计算机程序在被处理器执行时,可实现上述各个方法实施例的步骤。其中,所述计算机程序包括计算机程序代码,所述计算机程序代码可以为源代码形式、对象代码形式、可执行文件或某些中间形式等。所述计算机可读存储介质可以包括:能够携带所述计算机程序代码的任何实体或装置、记录介质、U盘、移动硬盘、磁碟、光盘、计算机存储器、只读存储器(ROM,Read-Only Memory)、随机存取存储器(RAM,Random Access Memory)、电载波信号、电信信号以及软件分发介质等。需要说明的是,所述计算机可读存储介质包含的内容可以根据司法管辖区内立法和专利实践的要求进行适当的增减,例如在某些司法管辖区,根据立法和专利实践,计算机可读存储介质不包括电载波信号和电信信号。The integrated modules/units, if implemented in the form of software functional units and sold or used as independent products, may be stored in a computer-readable storage medium. Based on this understanding, the present application can implement all or part of the processes in the methods of the above embodiments, and can also be completed by instructing the relevant hardware through a computer program. The computer program can be stored in a computer-readable storage medium, and the computer When the program is executed by the processor, the steps of the foregoing method embodiments can be implemented. Wherein, the computer program includes computer program code, and the computer program code may be in the form of source code, object code, executable file or some intermediate form, and the like. The computer-readable storage medium may include: any entity or device capable of carrying the computer program code, a recording medium, a U disk, a removable hard disk, a magnetic disk, an optical disk, a computer memory, a read-only memory (ROM, Read-Only Memory) ), random access memory (RAM, Random Access Memory), electrical carrier signals, telecommunication signals, and software distribution media, etc. It should be noted that the content contained in the computer-readable storage medium may be appropriately increased or decreased according to the requirements of legislation and patent practice in the jurisdiction, for example, in some jurisdictions, according to legislation and patent practice, computer-readable Storage media exclude electrical carrier signals and telecommunications signals.
以上所述实施例仅用以说明本申请的技术方案,而非对其限制;尽管参照前述实施例对本申请进行了详细的说明,本领域的普通技术人员应当理解:其依然可以对前述各实施例所记载的技术方案进行修改,或者对其中部分技术特征进行等同替换;而这些修改或者替换,并不使相应技术方案的本质脱离本申请各实施例技术方案的精神和范围,均应包含 在本申请的保护范围之内。The above-mentioned embodiments are only used to illustrate the technical solutions of the present application, but not to limit them; although the present application has been described in detail with reference to the above-mentioned embodiments, those of ordinary skill in the art should understand that: it can still be used for the above-mentioned implementations. The technical solutions described in the examples are modified, or some technical features thereof are equivalently replaced; and these modifications or replacements do not make the essence of the corresponding technical solutions deviate from the spirit and scope of the technical solutions in the embodiments of the application, and should be included in the within the scope of protection of this application.

Claims (10)

  1. 一种步态轨迹规划方法,其特征在于,包括:A gait trajectory planning method, comprising:
    获取机器人的标准步态轨迹库;所述标准步态轨迹库中包括若干个标准步态轨迹,且每个标准步态轨迹均对应于一种预设的标准行进速度;obtaining a standard gait trajectory library of the robot; the standard gait trajectory library includes several standard gait trajectories, and each standard gait trajectory corresponds to a preset standard traveling speed;
    确定机器人的当前行进速度;Determine the current travel speed of the robot;
    根据所述当前行进速度在所述标准步态轨迹库的标准步态轨迹中进行插值计算,得到与所述当前行进速度对应的目标步态轨迹。According to the current traveling speed, an interpolation calculation is performed in the standard gait track of the standard gait track library to obtain a target gait track corresponding to the current traveling speed.
  2. 根据权利要求1所述的步态轨迹规划方法,其特征在于,所述根据所述当前行进速度在所述标准步态轨迹库的标准步态轨迹中进行插值计算,得到与所述当前行进速度对应的目标步态轨迹,包括:The gait trajectory planning method according to claim 1, wherein the interpolation calculation is performed in the standard gait trajectory of the standard gait trajectory library according to the current travel speed, to obtain the difference between the current travel speed and the current travel speed. The corresponding target gait trajectory, including:
    根据下式在所述标准步态轨迹库的标准步态轨迹中进行插值计算:The interpolation calculation is performed in the standard gait trajectory of the standard gait trajectory library according to the following formula:
    Figure PCTCN2021124621-appb-100001
    Figure PCTCN2021124621-appb-100001
    其中,n为标准行进速度的序号,1≤n≤N,N为标准行进速度的数目,vn为第n种标准行进速度,且v n≤v n+1
    Figure PCTCN2021124621-appb-100002
    为所述标准步态轨迹库中与vn对应的标准步态轨迹,
    Figure PCTCN2021124621-appb-100003
    为所述当前行进速度,gait(t)为与所述当前行进速度对应的目标步态轨迹。
    Among them, n is the serial number of the standard travel speed, 1≤n≤N, N is the number of standard travel speeds, vn is the nth standard travel speed, and v n ≤ v n+1 ,
    Figure PCTCN2021124621-appb-100002
    is the standard gait trajectory corresponding to vn in the standard gait trajectory library,
    Figure PCTCN2021124621-appb-100003
    is the current traveling speed, and gait(t) is the target gait trajectory corresponding to the current traveling speed.
  3. 根据权利要求1所述的步态轨迹规划方法,其特征在于,在得到与所述当前行进速度对应的目标步态轨迹之后,还包括:The gait trajectory planning method according to claim 1, wherein after obtaining the target gait trajectory corresponding to the current travel speed, the method further comprises:
    确定机器人的当前步态轨迹;Determine the current gait trajectory of the robot;
    根据所述当前步态轨迹和所述目标步态轨迹进行轨迹拟合,得到从所述当前步态轨迹平滑过渡至所述目标步态轨迹的拟合步态轨迹。Perform trajectory fitting according to the current gait trajectory and the target gait trajectory to obtain a fitted gait trajectory that smoothly transitions from the current gait trajectory to the target gait trajectory.
  4. 根据权利要求3所述的步态轨迹规划方法,其特征在于,所述根据所述当前步态轨迹和所述目标步态轨迹进行轨迹拟合,包括:The gait trajectory planning method according to claim 3, wherein the performing trajectory fitting according to the current gait trajectory and the target gait trajectory comprises:
    构建与所述拟合步态轨迹对应的系数待定的拟合轨迹表达式;constructing a fitting trajectory expression with undetermined coefficients corresponding to the fitting gait trajectory;
    根据所述当前步态轨迹和所述目标步态轨迹确定所述拟合轨迹表达式的边界约束条件;Determine the boundary constraints of the fitting trajectory expression according to the current gait trajectory and the target gait trajectory;
    在预设的轨迹拟合时段内选取若干个指定时间点,并计算所述目标步态轨迹在各个指定时间点的取值;Selecting several designated time points within a preset trajectory fitting period, and calculating the value of the target gait trajectory at each designated time point;
    根据所述目标步态轨迹在各个指定时间点的取值构建与所述拟合轨迹表达式对应的优化目标;Constructing an optimization target corresponding to the fitting trajectory expression according to the values of the target gait trajectory at each specified time point;
    根据所述优化目标和所述边界约束条件确定所述拟合轨迹表达式的各个待定系数,以 得到所述拟合步态轨迹。According to the optimization objective and the boundary constraints, each undetermined coefficient of the fitting trajectory expression is determined to obtain the fitting gait trajectory.
  5. 根据权利要求4所述的步态轨迹规划方法,其特征在于,所述构建与所述拟合步态轨迹对应的系数待定的拟合轨迹表达式,包括:The gait trajectory planning method according to claim 4, wherein the constructing a fitting trajectory expression with undetermined coefficients corresponding to the fitting gait trajectory comprises:
    构建如下式所示的拟合轨迹表达式:Construct the fitted trajectory expression as follows:
    Figure PCTCN2021124621-appb-100004
    Figure PCTCN2021124621-appb-100004
    其中,t为时间变量,
    Figure PCTCN2021124621-appb-100005
    为所述拟合轨迹表达式,a i为待定系数,0≤i≤5。
    where t is the time variable,
    Figure PCTCN2021124621-appb-100005
    is the fitting trajectory expression, a i is an undetermined coefficient, 0≤i≤5.
  6. 根据权利要求4所述的步态轨迹规划方法,其特征在于,所述根据所述当前步态轨迹和所述目标步态轨迹确定所述拟合轨迹表达式的边界约束条件,包括:The gait trajectory planning method according to claim 4, wherein the determining the boundary constraints of the fitting trajectory expression according to the current gait trajectory and the target gait trajectory comprises:
    确定如下式所示的边界约束条件:Determine boundary constraints as follows:
    Figure PCTCN2021124621-appb-100006
    Figure PCTCN2021124621-appb-100006
    Figure PCTCN2021124621-appb-100007
    Figure PCTCN2021124621-appb-100007
    Figure PCTCN2021124621-appb-100008
    Figure PCTCN2021124621-appb-100008
    Figure PCTCN2021124621-appb-100009
    Figure PCTCN2021124621-appb-100009
    其中,t为时间变量,
    Figure PCTCN2021124621-appb-100010
    为所述拟合轨迹表达式,
    Figure PCTCN2021124621-appb-100011
    为所述当前步态轨迹,
    Figure PCTCN2021124621-appb-100012
    为所述目标步态轨迹,t 0为所述拟合步态轨迹的起始时刻,T为所述拟合步态轨迹的终止时刻。
    where t is the time variable,
    Figure PCTCN2021124621-appb-100010
    is the fitted trajectory expression,
    Figure PCTCN2021124621-appb-100011
    is the current gait trajectory,
    Figure PCTCN2021124621-appb-100012
    is the target gait trajectory, t 0 is the start time of the fitted gait trajectory, and T is the end moment of the fitted gait trajectory.
  7. 根据权利要求4所述的步态轨迹规划方法,其特征在于,所述根据所述目标步态轨迹在各个指定时间点的取值构建与所述拟合轨迹表达式对应的优化目标,包括:The gait trajectory planning method according to claim 4, wherein the constructing an optimization target corresponding to the fitting trajectory expression according to the values of the target gait trajectory at each specified time point comprises:
    构建如下式所示的优化目标:Build an optimization objective as follows:
    Figure PCTCN2021124621-appb-100013
    Figure PCTCN2021124621-appb-100013
    其中,t为时间变量,
    Figure PCTCN2021124621-appb-100014
    为所述拟合轨迹表达式,
    Figure PCTCN2021124621-appb-100015
    为所述目标步态轨迹,t m为第m个指定时间点,0≤m≤M,M为指定时间点的个数。
    where t is the time variable,
    Figure PCTCN2021124621-appb-100014
    is the fitted trajectory expression,
    Figure PCTCN2021124621-appb-100015
    is the target gait trajectory, t m is the mth specified time point, 0≤m≤M, and M is the number of specified time points.
  8. 一种步态轨迹规划装置,其特征在于,包括:A gait trajectory planning device, comprising:
    步态轨迹库获取模块,用于获取机器人的标准步态轨迹库;所述标准步态轨迹库中包括若干个标准步态轨迹,且每个标准步态轨迹均对应于一种预设的标准行进速度;The gait trajectory library acquisition module is used to acquire the standard gait trajectory library of the robot; the standard gait trajectory library includes several standard gait trajectories, and each standard gait trajectory corresponds to a preset standard travel speed;
    速度确定模块,用于确定机器人的当前行进速度;The speed determination module is used to determine the current travel speed of the robot;
    插值计算模块,用于根据所述当前行进速度在所述标准步态轨迹库的标准步态轨迹中进行插值计算,得到与所述当前行进速度对应的目标步态轨迹。An interpolation calculation module, configured to perform interpolation calculation in the standard gait trajectory of the standard gait trajectory library according to the current travel speed to obtain a target gait trajectory corresponding to the current travel speed.
  9. 一种计算机可读存储介质,所述计算机可读存储介质存储有计算机程序,其特征在于,所述计算机程序被处理器执行时实现如权利要求1至7中任一项所述的步态轨迹规划方法的步骤。A computer-readable storage medium storing a computer program, characterized in that, when the computer program is executed by a processor, the gait trajectory according to any one of claims 1 to 7 is realized Steps in the planning method.
  10. 一种机器人,包括存储器、处理器以及存储在所述存储器中并可在所述处理器上 运行的计算机程序,其特征在于,所述处理器执行所述计算机程序时实现如权利要求1至7中任一项所述的步态轨迹规划方法的步骤。A robot, comprising a memory, a processor, and a computer program stored in the memory and running on the processor, characterized in that, when the processor executes the computer program, the implementation of claims 1 to 7 The steps of any one of the gait trajectory planning methods.
PCT/CN2021/124621 2021-03-26 2021-10-19 Gait trajectory planning method and apparatus, computer readable storage medium, and robot WO2022198995A1 (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
CN202110324996.1A CN113110423B (en) 2021-03-26 2021-03-26 Gait track planning method and device, computer readable storage medium and robot
CN202110324996.1 2021-03-26

Publications (1)

Publication Number Publication Date
WO2022198995A1 true WO2022198995A1 (en) 2022-09-29

Family

ID=76712258

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/CN2021/124621 WO2022198995A1 (en) 2021-03-26 2021-10-19 Gait trajectory planning method and apparatus, computer readable storage medium, and robot

Country Status (2)

Country Link
CN (1) CN113110423B (en)
WO (1) WO2022198995A1 (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN116383330A (en) * 2023-06-06 2023-07-04 中航信移动科技有限公司 Track fitting method, storage medium and electronic equipment

Families Citing this family (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113110423B (en) * 2021-03-26 2024-04-26 深圳市优必选科技股份有限公司 Gait track planning method and device, computer readable storage medium and robot
CN115705048B (en) * 2021-08-06 2023-11-14 北京小米机器人技术有限公司 Control method and device for foot type robot, robot and storage medium

Citations (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6301524B1 (en) * 1996-07-25 2001-10-09 Honda Giken Kogyo Kabushiki Kaisha Gait generation system of legged mobile robot
CN107030697A (en) * 2017-04-28 2017-08-11 广州大学 A kind of planing method of robot cartesian space smooth track
CN107214702A (en) * 2017-06-29 2017-09-29 中国科学院自动化研究所 The method and system for planning of robot trajectory is determined using virtual reality handle
CN107390634A (en) * 2017-08-31 2017-11-24 南京埃斯顿机器人工程有限公司 A kind of industrial robot track quintic algebra curve planing method
CN107980109A (en) * 2017-01-04 2018-05-01 深圳配天智能技术研究院有限公司 Robot motion's method for planning track and relevant apparatus
CN109623820A (en) * 2018-12-25 2019-04-16 哈工大机器人(合肥)国际创新研究院 A kind of robot space tracking transition method
CN109623824A (en) * 2018-12-29 2019-04-16 深圳市越疆科技有限公司 Artificial intelligence trajectory reproducing method
CN110850883A (en) * 2019-11-29 2020-02-28 上海有个机器人有限公司 Movement control method, medium, terminal and device of robot
CN112515923A (en) * 2020-12-07 2021-03-19 深圳市丞辉威世智能科技有限公司 Lower limb exoskeleton gait planning method, computer-readable storage medium and device
CN113110423A (en) * 2021-03-26 2021-07-13 深圳市优必选科技股份有限公司 Gait trajectory planning method and device, computer readable storage medium and robot

Patent Citations (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6301524B1 (en) * 1996-07-25 2001-10-09 Honda Giken Kogyo Kabushiki Kaisha Gait generation system of legged mobile robot
CN107980109A (en) * 2017-01-04 2018-05-01 深圳配天智能技术研究院有限公司 Robot motion's method for planning track and relevant apparatus
CN107030697A (en) * 2017-04-28 2017-08-11 广州大学 A kind of planing method of robot cartesian space smooth track
CN107214702A (en) * 2017-06-29 2017-09-29 中国科学院自动化研究所 The method and system for planning of robot trajectory is determined using virtual reality handle
CN107390634A (en) * 2017-08-31 2017-11-24 南京埃斯顿机器人工程有限公司 A kind of industrial robot track quintic algebra curve planing method
CN109623820A (en) * 2018-12-25 2019-04-16 哈工大机器人(合肥)国际创新研究院 A kind of robot space tracking transition method
CN109623824A (en) * 2018-12-29 2019-04-16 深圳市越疆科技有限公司 Artificial intelligence trajectory reproducing method
CN110850883A (en) * 2019-11-29 2020-02-28 上海有个机器人有限公司 Movement control method, medium, terminal and device of robot
CN112515923A (en) * 2020-12-07 2021-03-19 深圳市丞辉威世智能科技有限公司 Lower limb exoskeleton gait planning method, computer-readable storage medium and device
CN113110423A (en) * 2021-03-26 2021-07-13 深圳市优必选科技股份有限公司 Gait trajectory planning method and device, computer readable storage medium and robot

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN116383330A (en) * 2023-06-06 2023-07-04 中航信移动科技有限公司 Track fitting method, storage medium and electronic equipment
CN116383330B (en) * 2023-06-06 2023-08-11 中航信移动科技有限公司 Track fitting method, storage medium and electronic equipment

Also Published As

Publication number Publication date
CN113110423A (en) 2021-07-13
CN113110423B (en) 2024-04-26

Similar Documents

Publication Publication Date Title
WO2022198995A1 (en) Gait trajectory planning method and apparatus, computer readable storage medium, and robot
Xu et al. A new approach to smooth path planning of mobile robot based on quartic Bezier transition curve and improved PSO algorithm
WO2022198994A1 (en) Robot arm motion planning method and apparatus, and readable storage medium and robot arm
US20190195631A1 (en) Positioning method, positioning device, and robot
WO2017063453A1 (en) Industrial robot process cloud system and working method therefor
WO2020015498A1 (en) Face tracking method and apparatus, and storage medium
WO2022193639A1 (en) Mechanical arm, and trajectory planning method and apparatus therefor
Wang et al. Robot manipulator self-identification for surrounding obstacle detection
WO2020135607A1 (en) Spatial path transitioning method for industrial robot, system, and robot
WO2022134144A1 (en) Robot center of mass planning method and apparatus, readable storage medium, and robot
WO2020135608A1 (en) Industrial robot demonstration track recurrence method and system and robot
CN106054882A (en) Robot obstacle avoidance method
JPH08292938A (en) Method and device for finite element mesh generation and method and device for analysis
WO2020098551A1 (en) Robot operation method and apparatus, robot, electronic device and readable medium
WO2022134143A1 (en) Robot state estimation method, apparatus, readable storage medium, and robot
CN109693234B (en) Robot falling prediction method and device, terminal equipment and computer storage medium
WO2022121003A1 (en) Robot control method and device, computer-readable storage medium, and robot
CN111024082B (en) Method and device for planning local path of robot and robot
CN114227685A (en) Mechanical arm control method and device, computer readable storage medium and mechanical arm
WO2022174604A1 (en) Robot trajectory planning method and apparatus, readable storage medium, and robot
CN108608427A (en) Unusual method and device is kept away in Robot Force control distraction procedure
WO2022105023A1 (en) Robot control method and apparatus, and computer readable storage medium, and robot
Jiang et al. Obstacle-avoidance path planning based on the improved artificial potential field for a 5 degrees of freedom bending robot
CN113021329B (en) Robot motion control method and device, readable storage medium and robot
CN115946120B (en) Mechanical arm control method, device, equipment and medium

Legal Events

Date Code Title Description
121 Ep: the epo has been informed by wipo that ep was designated in this application

Ref document number: 21932604

Country of ref document: EP

Kind code of ref document: A1

NENP Non-entry into the national phase

Ref country code: DE

122 Ep: pct application non-entry in european phase

Ref document number: 21932604

Country of ref document: EP

Kind code of ref document: A1