WO2019218805A1 - Motion closed-loop control method for quadruped robot - Google Patents

Motion closed-loop control method for quadruped robot Download PDF

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WO2019218805A1
WO2019218805A1 PCT/CN2019/081969 CN2019081969W WO2019218805A1 WO 2019218805 A1 WO2019218805 A1 WO 2019218805A1 CN 2019081969 W CN2019081969 W CN 2019081969W WO 2019218805 A1 WO2019218805 A1 WO 2019218805A1
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quadruped robot
control
leg
joint
control method
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PCT/CN2019/081969
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French (fr)
Chinese (zh)
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刘厚德
王翔
王学谦
梁斌
高学海
朱晓俊
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清华大学深圳研究生院
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B13/00Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
    • G05B13/02Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
    • G05B13/04Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric involving the use of models or simulators
    • G05B13/042Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric involving the use of models or simulators in which a parameter or coefficient is automatically adjusted to optimise the performance
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B62LAND VEHICLES FOR TRAVELLING OTHERWISE THAN ON RAILS
    • B62DMOTOR VEHICLES; TRAILERS
    • B62D57/00Vehicles characterised by having other propulsion or other ground- engaging means than wheels or endless track, alone or in addition to wheels or endless track
    • B62D57/02Vehicles characterised by having other propulsion or other ground- engaging means than wheels or endless track, alone or in addition to wheels or endless track with ground-engaging propulsion means, e.g. walking members
    • B62D57/032Vehicles characterised by having other propulsion or other ground- engaging means than wheels or endless track, alone or in addition to wheels or endless track with ground-engaging propulsion means, e.g. walking members with alternately or sequentially lifted supporting base and legs; with alternately or sequentially lifted feet or skid

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  • the invention relates to the field of robot control, and in particular to a motion closed loop control method for a quadruped robot.
  • Robotics is an interdisciplinary subject involving knowledge in the fields of mechanics, electronics, bionics, computer science, and artificial intelligence. Its flexible mobility can replace human beings under harsh working conditions (high temperature, toxic, underwater, etc.). Complex tasks, and thus have important social value for the study of robotics.
  • Wheeled and crawler robots are able to walk stably on flat roads, and their off-road capabilities have also made significant breakthroughs.
  • their walking on rough terrain still has great limitations.
  • the foot robot can still achieve fast and stable travel under certain load conditions.
  • the foot robot can be divided into a single-legged jumping robot, a biped robot, a four-legged robot, and six enough robots.
  • quadruped robots are more stable and have a higher load capacity.
  • multi-foot (six-foot and above) robots the mechanical structure is simpler and the control difficulty is lower.
  • mammals as the most advanced vertebrate animals, use the four-legged walking method. Therefore, constructing a four-legged bionic robot is more conducive to learning the gait pattern when the quadruped is walking.
  • the quadruped robot At present, most of the quadruped robots still stay in the indoor test or even the simulation stage, and can only walk on a flat ground, the terrain adaptability is poor, and the anti-interference ability is weak.
  • the quadruped robot has good motion capability and wide application prospects, its structural design and control algorithm are also relatively complex, especially the coordinated control of four-foot gait timing and attitude control during travel, plus high precision and high real-time. Sexual sensing feedback makes the control system more complex.
  • the related technology of the quadruped robot is still in the development stage, and the corresponding theoretical research still needs further improvement and development.
  • CPG Central Pattern Generator
  • CPG open-loop control can not effectively control the attitude of the robot, so the anti-disturbance ability is poor; the closed-loop CPG network with feedback signal is too complicated, the parameter setting is very cumbersome, can only rely on engineering experience, and the upper control command needs to go through more
  • the link can be converted into the joint control signal, so the execution efficiency is low; when the characteristic parameters of the robot itself and the external environment change, the parameter setting needs to be re-established; these shortcomings greatly limit the further expansion of the CPG application.
  • VMC Virtual Model Control
  • the so-called intuitive control method is a kind of control method that people establish based on their own feelings and the existing knowledge of the system.
  • This type of method does not have a fixed model formula and derivation process, but simply based on the difference between the expected state of the robot and the real-time state, the controller gives something like "fast (slow) point, "high (low) point", and Instructions such as "large (small) points” guide the robot to make corresponding behavior adjustments.
  • the basic idea is to compare the desired motion state of the upper layer of the robot and compare it with the real-time state measured by the sensor. According to the difference between the two, the required force or moment is calculated by a specific intuition law, and then applied to the joint.
  • VMC virtual component control of the quadruped robot
  • the virtual spring damper supports the robot to maintain a certain posture when supporting the phase; when the phase is oscillated, the virtual spring damper pulls the leg along the planned trajectory.
  • the control method requires a large number of sensing feedback signals, including the displacement, velocity and attitude angle of the robot body and the leg, and the angular velocity of the attitude.
  • the application is very cumbersome and costly, and the GPS and inertial measurement unit (IMU) need to be configured. , gyro and force sensors and other components.
  • the present invention proposes a motion closed-loop control method for a quadruped robot, which is simple, efficient and easy to implement, and overcomes the defects of high control complexity of the existing algorithm.
  • the invention discloses a motion closed-loop control method for a quadruped robot, comprising the steps of: generating a periodic control signal for each leg of the quadruped robot by using a CPG network to generate a forward of the quadruped robot The signal is simultaneously adjusted by the proportional differential control to the posture of the body of the quadruped robot.
  • each of the legs of the quadruped robot is provided with three joints: a hip yaw joint, a hip forward joint and a knee forward joint, wherein the CPG network is used for the four Controlling the hip forward joint and the knee forward joint of each of the legs of the foot robot; the proportional differential control is for controlling the joints of the legs of the quadruped robot in the support phase .
  • each of the legs of the quadruped robot is controlled by the following formula:
  • q represents a total signal applied to the quadruped robot
  • q a represents an attitude compensation angle for controlling each joint of the quadruped robot in the leg of the supporting phase
  • q c is a control of the quadruped robot Control signals for the hip forward joint and the knee forward joint of each of the legs.
  • the CPG network therein comprises CPG units respectively correspondingly controlling the respective legs of the quadruped robot, and the expression of the model adopted by the CPG unit is:
  • ⁇ ji y j cos ⁇ ji -x j sin ⁇ ji
  • ⁇ i the motion frequency of the i-th leg
  • ⁇ and ⁇ convergence factors
  • is a parameter
  • x i the control signal of the i-th CPG unit to the hip forward joint of the leg
  • y i is a control signal of the i-th CPG unit to the knee forward joint of the leg
  • ⁇ ji the phase difference between different CPG units
  • k ⁇ j ⁇ ji is a coupling polynomial
  • ⁇ stance and ⁇ swing represent the frequency of the supporting phase and the frequency of the oscillating phase, respectively
  • b Represents a constant factor;
  • q c (x 1 , y 1 , x 2 , y 2 , x 3 , y 3 , x 4 , y 4 ) T .
  • the y i signal is filtered by:
  • c is a constant factor and ⁇ ki is the control signal of the filtered i-th CPG unit to the knee forward joint of the leg;
  • q c (x 1 , ⁇ k1 , x 2 , ⁇ K2 , x 3 , ⁇ k3 , x 4 , ⁇ k4 ) T .
  • control law for adjusting the posture of the body of the quadruped robot by using proportional differential control is:
  • the motion closed-loop control method of the quadruped robot further includes: when the posture of the body of the quadruped robot is consistent with a desired posture, the PD controller does not function; when the quadruped robot When the posture of the body is deviated, the PD controller generates an error compensation signal according to the control law of the proportional differential control, so that the body of the quadruped robot stably travels in a desired posture.
  • the PD controller receives the foot touch signal from the force sensor to determine the ground contact state of the bottom end of each of the legs.
  • the present invention has the beneficial effects that the motion closed-loop control method of the quadruped robot proposed by the present invention generates a periodic signal according to the bionics principle to control the periodic motion of the quadruped robot compared to other dynamics.
  • the method is more efficient and easy to understand; and the proportional differential control law is used to adjust the posture of the quadruped robot body so that it can stably travel in a suitable attitude.
  • it is no longer necessary to calculate one leg in real time.
  • Jacques matrix and matrix inversion eliminating the complicated and cumbersome derivation and solution, simple and efficient.
  • FIG. 1 is a schematic diagram of a 3D model of a virtual model control of a quadruped robot in the prior art
  • FIG. 2 is a schematic diagram of a model of a quadruped robot in accordance with a preferred embodiment of the present invention
  • FIG. 3 is a block diagram of a control strategy of a quadruped robot in accordance with a preferred embodiment of the present invention.
  • the quadruped robot of the preferred embodiment of the present invention includes a body 10 and four legs 20, each leg 20 having three joints including two joints of the hip 21 (one hip side) The pendulum joint and the 1 hip front joint) and the 1 joint of the knee 22 (the knee forward joint), that is, the quadruped robot, include a total of 12 joints.
  • the four-legged robot travels in two stages: the supporting phase and the oscillating phase, wherein the supporting phase means that the legs of the legs are in contact with the ground, providing support for the remaining legs to move forward, and the legs that move forward are called In the swing phase; the free switching between the two states is achieved by determining whether the leg touches the ground during the movement of the foot robot.
  • a cyclic control signal is generated for each leg portion 20 of the quadruped robot by using a CPG network to generate a forward signal of the quadruped robot for controlling the body 10 to travel forward at a certain speed while using proportional differentiation.
  • Control effectively corrects the posture of the body 10 using the legs 20 in the support phase.
  • the PD controller does not function, and this is a simple open loop control; when the posture of the quadruped robot body 10 is deviated, the PD controller will according to the ratio.
  • the control law of the differential control generates an error compensation signal so that the body 10 of the quadruped robot can stably travel in a desired posture.
  • the PD controller receives the foot touch signal from the force sensor to determine the ground contact state of the bottom end 23 of each leg portion 20, so as to switch between the support phase and the swing phase, that is, the PD controller is only The posture of the leg portion 20 in the support phase is adjusted.
  • the CPG model is mainly used to generate a stable periodic oscillation signal.
  • the CPG network is used for the hip forward joint and the knee front of each leg of the quadruped robot. Control the joints.
  • the CPG network includes CPG units respectively correspondingly controlling the legs of the quadruped robot.
  • the CPG unit uses a Hopf oscillator as a signal generator, and the computational complexity is low and the number of parameters is small.
  • the model is as follows:
  • ⁇ ji y j cos ⁇ ji -x j sin ⁇ ji
  • ⁇ i represents the motion frequency of the i-th leg
  • ⁇ and ⁇ are convergence factors
  • is a parameter used to adjust the amplitude of the oscillator output signal, indicating the joint angle of the leg of the quadruped robot
  • x i is the i
  • y i is the control signal of the i-th CPG unit to the knee forward joint of the leg, with Representing the differentiation of the signals corresponding to x i and y i respectively
  • ⁇ ji represents the phase difference between different CPG units
  • k ⁇ j ⁇ ji is a coupling polynomial for adjusting the smoothness of the output signal curve
  • ⁇ stance and ⁇ swing respectively Represents the supporting phase frequency and the wobble phase frequency
  • b represents a constant factor.
  • x i and y i are control signals for the two forward joints of the legs of the quadruped robot.
  • the y i signal is subjected to a certain filtering process as a control signal for the knee joint, as follows:
  • c is a constant factor and ⁇ ki is the control signal of the filtered i-th CPG unit to the knee forward joint of the leg.
  • the proportional differential control is used to adjust the attitude of the body of the quadruped robot (that is, the proportional differential control is used to control the joints of the legs of the four-legged robot in the support phase):
  • q l represents the attitude joint compensation angle of the l-th posture of the body of the quadruped robot generated by the controller
  • a l represents the actual attitude angle of the l-th posture of the body of the quadruped robot
  • a dl represents the desired attitude angle of the l-th posture of the body of the quadruped robot
  • the legs of the quadruped robot are controlled by the following formula:
  • q represents the total signal applied to the quadruped robot
  • q a represents the attitude compensation angle of each joint controlling the quadruped robot in the leg of the supporting phase
  • the existing CPG control method is not easy to combine with the external feedback signal, and the VMC method is too cumbersome and complicated.
  • the preferred embodiment of the present invention discloses a simple and efficient control method, which can overcome the defects of the prior art and realize the expected control. aims.
  • the motion closed-loop control method of the quadruped robot proposed by the preferred embodiment of the present invention generates periodic signals according to the bionics principle to control the periodic motion of the quadruped robot, which is more efficient and easier to understand than other dynamic methods;
  • the differential control law adjusts the attitude of the quadruped robot body so that it can travel stably in a suitable attitude.
  • it is no longer necessary to calculate the single-leg Jacobian matrix and matrix inversion in real time, and eliminate the complexity.
  • the tedious derivation and solution is simple and efficient.

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Abstract

A motion closed-loop control method for a quadruped robot, comprising the following steps: using a CPG network to generate a periodic control signal for each leg portion of a quadruped robot respectively so as to generate an advancing signal for the quadruped robot; and simultaneously using proportional differential control to adjust the pose of a machine body of the quadruped robot. The described motion closed-loop control method for a quadruped robot is concise, highly efficient, and easy to implement, and overcomes the defect in existing algorithms wherein control difficulty is high.

Description

一种四足机器人的运动闭环控制方法Motion closed-loop control method for quadruped robot 技术领域Technical field
本发明涉及机器人控制领域,尤其涉及一种四足机器人的运动闭环控制方法。The invention relates to the field of robot control, and in particular to a motion closed loop control method for a quadruped robot.
背景技术Background technique
机器人技术是一门涉及力学、电子学,仿生学、计算机科学以及人工智能等领域知识的交叉学科,其灵活机动性可以代替人类在恶劣的工作条件下(高温、有毒、水下等环境)执行复杂的任务,因而对于机器人技术的研究具有重要的社会价值。Robotics is an interdisciplinary subject involving knowledge in the fields of mechanics, electronics, bionics, computer science, and artificial intelligence. Its flexible mobility can replace human beings under harsh working conditions (high temperature, toxic, underwater, etc.). Complex tasks, and thus have important social value for the study of robotics.
目前最为普遍的移动机器人分为轮式、履带式和足式机器人。轮式和履带式机器人能够在平坦的路面上稳定的行走,其越野能力也取得了重大的突破。然而,它们在崎岖的路面上行走仍旧有很大的局限性。相比之下,足式机器人可以在一定的负重条件下依然可以实现快速稳定的行进。这些特性越来越受到研究人员的青睐。Currently the most popular mobile robots are divided into wheeled, crawler and foot robots. Wheeled and crawler robots are able to walk stably on flat roads, and their off-road capabilities have also made significant breakthroughs. However, their walking on rough terrain still has great limitations. In contrast, the foot robot can still achieve fast and stable travel under certain load conditions. These features are increasingly favored by researchers.
足式机器人按照腿的数目可以分为单足跳跃机器人、双足机器人、四足机器人以及六足以上机器人。与单足和双足机器人相比,四足机器人更具稳定性和较强的负载能力,同时与多足(六足及以上)机器人相比机械结构更为简单,控制难度亦较低。另外,从仿生学角度而言,哺乳动物作为进化最高等的脊椎动物,绝大多数采用四足行走方式,因而构造四足仿生机器人更有利于借鉴四足动物行走时的步态模式。According to the number of legs, the foot robot can be divided into a single-legged jumping robot, a biped robot, a four-legged robot, and six enough robots. Compared with single-legged and bipedal robots, quadruped robots are more stable and have a higher load capacity. At the same time, compared with multi-foot (six-foot and above) robots, the mechanical structure is simpler and the control difficulty is lower. In addition, from the perspective of bionics, mammals, as the most advanced vertebrate animals, use the four-legged walking method. Therefore, constructing a four-legged bionic robot is more conducive to learning the gait pattern when the quadruped is walking.
目前大多数的四足机器人仍然停留在室内测试甚至是仿真阶段,且仅能够在平坦的地面上行走,地形适应力较差,抗干扰能力较弱。虽然四足机器人具有良好的运动能力和较为广泛的应用前景,但是其结构设计和控制算法也相对复杂,特别是四足步态时序的协调控制以及行进过程中的姿态控制,加之高精度高实时性传感反馈使得控制系统更加复杂。总体而言,四足机器人的相关技术仍处于发展阶段,相应的理论研究仍需进一步完善和发展。At present, most of the quadruped robots still stay in the indoor test or even the simulation stage, and can only walk on a flat ground, the terrain adaptability is poor, and the anti-interference ability is weak. Although the quadruped robot has good motion capability and wide application prospects, its structural design and control algorithm are also relatively complex, especially the coordinated control of four-foot gait timing and attitude control during travel, plus high precision and high real-time. Sexual sensing feedback makes the control system more complex. In general, the related technology of the quadruped robot is still in the development stage, and the corresponding theoretical research still needs further improvement and development.
其中,CPG(Central Pattern Generator,中枢模式发生器)的概念来自于生物学科和仿生学科领域,指动物身上产生节律运动的神经反射电流,是一种分布式的神经网络,本质上就是周期信号发生器。由于四足机器人在正常行走时四条腿之间的关节角度本质上也只是存在相位的差别,因而现有技术中很多研究者用它来控制四足机器人的行走。而采用CPG开环控制无法对机器人姿态进行有效控制,因而抗扰动能力较差;带反馈信号的闭环CPG网络又过于复杂,参数整定十分繁琐,只能依靠工程经验,并且上层控制指令需要经过多个环节才能转换为关节控制信号,因而执行效率低;当机器人本身的特性参数以及外部环境发生变化时,又需要重新进行参数整定;这些不足极大地限制了CPG进一步扩展应用。Among them, the concept of CPG (Central Pattern Generator) comes from the field of biology and bionics, which refers to the nerve reflex current that produces rhythmic motion in animals. It is a distributed neural network, which is essentially the occurrence of periodic signals. Device. Since the joint angle between the four legs of the quadruped robot during normal walking is essentially only a phase difference, many researchers in the prior art use it to control the walking of the quadruped robot. The use of CPG open-loop control can not effectively control the attitude of the robot, so the anti-disturbance ability is poor; the closed-loop CPG network with feedback signal is too complicated, the parameter setting is very cumbersome, can only rely on engineering experience, and the upper control command needs to go through more The link can be converted into the joint control signal, so the execution efficiency is low; when the characteristic parameters of the robot itself and the external environment change, the parameter setting needs to be re-established; these shortcomings greatly limit the further expansion of the CPG application.
虚拟模型控制(Virtual Model Control,VMC)实际上是一种直觉控制方法。所谓直觉控制方法,就是人们根据自己的感觉以及对系统已有的认知而建立起来的一种控制方法。这类方法没有固定的模型公式和推导流程,只是简单的根据机器人期望状态和实时状态之间的差异,控制器给出类似于“快(慢)一点”、“高(低)一点”、和“大(小)一点”之类的指令引导机器人进行相应的行为调整。其基本思路是:给定机器人上层期望的运动状态并与传感器测量到的实时状态进行比较,根据两者的差值,通过特定的直觉法则计算所需施加的力或者力矩,再作用在关节处从而使得机器人朝着期望的状态运动。VMC的核心思想是利用假想的虚拟构件(弹簧、阻尼等)连接机器人的不同作用点,或将作用点与外部环境连接,用来产生相应的虚拟力驱使机器人执行期望的运动。虚拟力通过机器人Jacobian矩阵映射为关节力矩,驱动机器人运动产生和虚拟构件一样的效果。四足机器人虚拟模型控制的3D模型示意图如图1所示。从图中可以看出,在支撑相时,虚拟弹簧阻尼器支撑机器人维持一定的姿态;摆动相时,虚拟弹簧阻尼器牵引着腿部沿着规划的轨迹运动。该控制方法需要大量的传感反馈信号,包括机器人机体和腿部的位移、速度和姿态角以及姿态角速率,实际中应用起来非常繁琐,且成本高,需要配置GPS、惯性测量单元(IMU)、陀螺以及力传感器等元器件。Virtual Model Control (VMC) is actually an intuitive control method. The so-called intuitive control method is a kind of control method that people establish based on their own feelings and the existing knowledge of the system. This type of method does not have a fixed model formula and derivation process, but simply based on the difference between the expected state of the robot and the real-time state, the controller gives something like "fast (slow) point, "high (low) point", and Instructions such as "large (small) points" guide the robot to make corresponding behavior adjustments. The basic idea is to compare the desired motion state of the upper layer of the robot and compare it with the real-time state measured by the sensor. According to the difference between the two, the required force or moment is calculated by a specific intuition law, and then applied to the joint. Thereby the robot is moved towards the desired state. The core idea of VMC is to connect different points of action of the robot with imaginary virtual components (spring, damping, etc.) or to connect the point of action with the external environment to generate corresponding virtual forces to drive the robot to perform the desired motion. The virtual force is mapped to the joint torque by the robot Jacobian matrix, which drives the robot motion to produce the same effect as the virtual component. A schematic diagram of the 3D model of the virtual model control of the quadruped robot is shown in Fig. 1. As can be seen from the figure, the virtual spring damper supports the robot to maintain a certain posture when supporting the phase; when the phase is oscillated, the virtual spring damper pulls the leg along the planned trajectory. The control method requires a large number of sensing feedback signals, including the displacement, velocity and attitude angle of the robot body and the leg, and the angular velocity of the attitude. In practice, the application is very cumbersome and costly, and the GPS and inertial measurement unit (IMU) need to be configured. , gyro and force sensors and other components.
以上背景技术内容的公开仅用于辅助理解本发明的构思及技术方案,其并不必然属于本专利申请的现有技术,在没有明确的证据表明上述内容在本专利申请的申请日已经公开的情况下,上述背景技术不应当用于评价本申请的新颖性和创造性。The above disclosure of the background art is only for assisting in understanding the concepts and technical solutions of the present invention, and it does not necessarily belong to the prior art of the present patent application, and there is no clear evidence that the above content has been disclosed on the filing date of the present patent application. In this case, the above background art should not be used to evaluate the novelty and inventiveness of the present application.
发明内容Summary of the invention
为解决上述技术问题,本发明提出一种四足机器人的运动闭环控制方法,该方法简洁高效易于实现,克服了现有算法控制复杂度高的缺陷。In order to solve the above technical problem, the present invention proposes a motion closed-loop control method for a quadruped robot, which is simple, efficient and easy to implement, and overcomes the defects of high control complexity of the existing algorithm.
为了达到上述目的,本发明采用以下技术方案:In order to achieve the above object, the present invention adopts the following technical solutions:
本发明公开了一种四足机器人的运动闭环控制方法,包括以下步骤:采用CPG网络对所述四足机器人的各条腿部分别产生周期性的控制信号,以生成所述四足机器人的前进信号;同时采用比例微分控制对所述四足机器人的机体的姿态进行调整。The invention discloses a motion closed-loop control method for a quadruped robot, comprising the steps of: generating a periodic control signal for each leg of the quadruped robot by using a CPG network to generate a forward of the quadruped robot The signal is simultaneously adjusted by the proportional differential control to the posture of the body of the quadruped robot.
优选地,所述四足机器人的各个所述腿部上分别设有三个关节:髋部侧摆关节、髋部前向关节和膝部前向关节,其中所述CPG网络用于对所述四足机器人的各条所述腿部的髋部前向关节和膝部前向关节进行控制;所述比例微分控制用于对所述四足机器人处于支撑相的所述腿部的各个关节进行控制。Preferably, each of the legs of the quadruped robot is provided with three joints: a hip yaw joint, a hip forward joint and a knee forward joint, wherein the CPG network is used for the four Controlling the hip forward joint and the knee forward joint of each of the legs of the foot robot; the proportional differential control is for controlling the joints of the legs of the quadruped robot in the support phase .
优选地,采用下述公式对所述四足机器人的各条所述腿部进行控制:Preferably, each of the legs of the quadruped robot is controlled by the following formula:
q=q a+q c q=q a +q c
其中,q表示施加在所述四足机器人的总信号,q a表示控制所述四足机器人处于支撑相的所述腿部的各个关节的姿态补偿角,q c是控制所述四足机器人的各条所述腿部的髋部前向关节和膝部前向关节的控制信号。 Wherein q represents a total signal applied to the quadruped robot, q a represents an attitude compensation angle for controlling each joint of the quadruped robot in the leg of the supporting phase, q c is a control of the quadruped robot Control signals for the hip forward joint and the knee forward joint of each of the legs.
优选地,其中的CPG网络包括分别相应控制所述四足机器人的各条所述腿部的CPG单元,CPG单元采用的模型的表达式为:Preferably, the CPG network therein comprises CPG units respectively correspondingly controlling the respective legs of the quadruped robot, and the expression of the model adopted by the CPG unit is:
Figure PCTCN2019081969-appb-000001
Figure PCTCN2019081969-appb-000001
Figure PCTCN2019081969-appb-000002
Figure PCTCN2019081969-appb-000002
Δ ji=y jcosθ ji-x jsinθ ji Δ ji =y j cosθ ji -x j sinθ ji
Figure PCTCN2019081969-appb-000003
Figure PCTCN2019081969-appb-000003
其中,i、j表示所述四足机器人的腿部序号,
Figure PCTCN2019081969-appb-000004
ω i表示第i条腿部的运动频率,α和β是收敛因子,μ是一个参数,x i是第i个CPG单元对所述腿部的髋部前向关节的控制信号,y i是第i个CPG单元对所述腿部的膝部 前向关节的控制信号,
Figure PCTCN2019081969-appb-000005
Figure PCTCN2019081969-appb-000006
分别表示x i和y i对应信号的微分,θ ji代表不同的CPG单元之间的相位差,kΣ jΔ ji是一个耦合多项式,ω stance和ω swing分别代表支撑相频率和摆动相频率,b代表一个常数因子;其中,q c=(x 1,y 1,x 2,y 2,x 3,y 3,x 4,y 4) T
Where i and j represent the leg numbers of the quadruped robot,
Figure PCTCN2019081969-appb-000004
ω i represents the motion frequency of the i-th leg, α and β are convergence factors, μ is a parameter, and x i is the control signal of the i-th CPG unit to the hip forward joint of the leg, y i is a control signal of the i-th CPG unit to the knee forward joint of the leg,
Figure PCTCN2019081969-appb-000005
with
Figure PCTCN2019081969-appb-000006
Representing the differentiation of the signals corresponding to x i and y i respectively, θ ji represents the phase difference between different CPG units, k Σ j Δ ji is a coupling polynomial, and ω stance and ω swing represent the frequency of the supporting phase and the frequency of the oscillating phase, respectively, b Represents a constant factor; where q c = (x 1 , y 1 , x 2 , y 2 , x 3 , y 3 , x 4 , y 4 ) T .
优选地,其中y i信号通过下式进行滤波处理: Preferably, wherein the y i signal is filtered by:
Figure PCTCN2019081969-appb-000007
Figure PCTCN2019081969-appb-000007
其中,c是一个常数因子,θ ki为经过滤波处理的第i个CPG单元对所述腿部的膝部前向关节的控制信号;其中q c=(x 1k1,x 2k2,x 3k3,x 4k4) TWhere c is a constant factor and θ ki is the control signal of the filtered i-th CPG unit to the knee forward joint of the leg; where q c = (x 1 , θ k1 , x 2 , θ K2 , x 3 , θ k3 , x 4 , θ k4 ) T .
优选地,采用比例微分控制对所述四足机器人的所述机体的姿态进行调整的控制律为:Preferably, the control law for adjusting the posture of the body of the quadruped robot by using proportional differential control is:
Figure PCTCN2019081969-appb-000008
Figure PCTCN2019081969-appb-000008
其中,K=diag(k 1,k 2,k 3)和B=diag(b 1,b 2,b 3),其中k l和b l分别是所述四足机器人的所述机体的第l个姿态的比例与微分常数,其中l=1,2,3;
Figure PCTCN2019081969-appb-000009
Figure PCTCN2019081969-appb-000010
分别表示所述四足机器人的所述机体的实际姿态的角向量和角速率向量,
Figure PCTCN2019081969-appb-000011
Figure PCTCN2019081969-appb-000012
分别表示所述四足机器人的所述机体的期望姿态的角向量和角速率向量。
Where K=diag(k 1 , k 2 , k 3 ) and B=diag(b 1 , b 2 , b 3 ), where k l and b l are the first of the body of the quadruped robot, respectively The proportion of the pose and the differential constant, where l = 1, 2, 3;
Figure PCTCN2019081969-appb-000009
with
Figure PCTCN2019081969-appb-000010
An angular vector and an angular rate vector respectively representing the actual posture of the body of the quadruped robot,
Figure PCTCN2019081969-appb-000011
with
Figure PCTCN2019081969-appb-000012
An angular vector and an angular rate vector representing a desired posture of the body of the quadruped robot, respectively.
优选地,所述的四足机器人的运动闭环控制方法还包括:当所述四足机器人的所述机体的姿态与期望的姿态保持一致时,PD控制器不发生作用;当所述四足机器人的所述机体的姿态发生偏差时,PD控制器根据比例微分控制的控制律产生误差补偿信号,使得所述四足机器人的所述机体按照期望的姿态稳定行进。Preferably, the motion closed-loop control method of the quadruped robot further includes: when the posture of the body of the quadruped robot is consistent with a desired posture, the PD controller does not function; when the quadruped robot When the posture of the body is deviated, the PD controller generates an error compensation signal according to the control law of the proportional differential control, so that the body of the quadruped robot stably travels in a desired posture.
优选地,其中PD控制器接受来自力传感器的足端触地信号来判断各个所述腿部的底端的触地状态。Preferably, wherein the PD controller receives the foot touch signal from the force sensor to determine the ground contact state of the bottom end of each of the legs.
与现有技术相比,本发明的有益效果在于:本发明提出的四足机器人的运动闭环控制方法依据仿生学原理产生周期性信号来控制四足机器人的周期运动,相 比于其他的动力学方法效率更高,易于理解;并利用比例微分控制律调节四足机器人机体的姿态,使得其能够以合适的姿态稳定行进,相对于其他的一些方法诸如虚拟模型控制,不再需要实时计算单腿雅克比矩阵以及矩阵求逆,摒弃了复杂繁琐的推导与解算,简洁高效。Compared with the prior art, the present invention has the beneficial effects that the motion closed-loop control method of the quadruped robot proposed by the present invention generates a periodic signal according to the bionics principle to control the periodic motion of the quadruped robot compared to other dynamics. The method is more efficient and easy to understand; and the proportional differential control law is used to adjust the posture of the quadruped robot body so that it can stably travel in a suitable attitude. Compared with other methods such as virtual model control, it is no longer necessary to calculate one leg in real time. Jacques matrix and matrix inversion, eliminating the complicated and cumbersome derivation and solution, simple and efficient.
附图说明DRAWINGS
图1是现有技术中的四足机器人虚拟模型控制的3D模型示意图;1 is a schematic diagram of a 3D model of a virtual model control of a quadruped robot in the prior art;
图2是本发明优选实施例的四足机器人的模型示意图;2 is a schematic diagram of a model of a quadruped robot in accordance with a preferred embodiment of the present invention;
图3是本发明优选实施例的四足机器人的控制策略框图。3 is a block diagram of a control strategy of a quadruped robot in accordance with a preferred embodiment of the present invention.
具体实施方式Detailed ways
下面对照附图并结合优选的实施方式对本发明作进一步说明。The invention will now be further described with reference to the drawings in conjunction with the preferred embodiments.
如图2所示,本发明优选实施例的四足机器人包括机体10和四条腿部20,每条腿部20上有3个关节,其中包括髋部21的2个关节(1个髋部侧摆关节和1个髋部向前关节)和膝部22的1个关节(膝部向前关节),也即四足机器人一共包括12个关节。As shown in FIG. 2, the quadruped robot of the preferred embodiment of the present invention includes a body 10 and four legs 20, each leg 20 having three joints including two joints of the hip 21 (one hip side) The pendulum joint and the 1 hip front joint) and the 1 joint of the knee 22 (the knee forward joint), that is, the quadruped robot, include a total of 12 joints.
其中四足机器人的行进分为两个阶段:支撑相和摆动相,其中支撑相是指腿部腿部与地面接触,为剩余的腿向前迈进提供支撑,而向前迈进的腿称之为处于摆动相;在足式机器人的运动中通过判断腿部是否触地来实现这两个状态之间的自由切换。The four-legged robot travels in two stages: the supporting phase and the oscillating phase, wherein the supporting phase means that the legs of the legs are in contact with the ground, providing support for the remaining legs to move forward, and the legs that move forward are called In the swing phase; the free switching between the two states is achieved by determining whether the leg touches the ground during the movement of the foot robot.
结合图3,采用CPG网络对四足机器人的各条腿部20分别产生周期性的控制信号以生成四足机器人的前进信号,用来控制机体10以一定的速度向前行进,同时采用比例微分控制利用处于支撑相的腿部20对机体10的姿态进行有效纠正。当四足机器人机体10的姿态与期望的姿态保持一致时,PD控制器不发生作用,此时是单纯的开环控制;当四足机器人机体10的姿态发生偏差时,PD控制器会根据比例微分控制的控制律产生误差补偿信号,使得四足机器人的机体10能够按照期望的姿态稳定行进。其中PD控制器接受来自力传感器的足端触地信号来判断每一条腿部20的底端23的触地状态,以便于在支撑相与摆动相之间切换,也即使得PD控制器仅对处于支撑相的腿部20的姿态进行调整。Referring to FIG. 3, a cyclic control signal is generated for each leg portion 20 of the quadruped robot by using a CPG network to generate a forward signal of the quadruped robot for controlling the body 10 to travel forward at a certain speed while using proportional differentiation. Control effectively corrects the posture of the body 10 using the legs 20 in the support phase. When the posture of the quadruped robot body 10 is consistent with the desired posture, the PD controller does not function, and this is a simple open loop control; when the posture of the quadruped robot body 10 is deviated, the PD controller will according to the ratio. The control law of the differential control generates an error compensation signal so that the body 10 of the quadruped robot can stably travel in a desired posture. Wherein the PD controller receives the foot touch signal from the force sensor to determine the ground contact state of the bottom end 23 of each leg portion 20, so as to switch between the support phase and the swing phase, that is, the PD controller is only The posture of the leg portion 20 in the support phase is adjusted.
在四足机器人的运动控制中,CPG模型主要用于产生稳定的周期震荡信号,在本实施例中,CPG网络用于对四足机器人的各条腿部的髋部前向关节和膝部前向关节进行控制。其中,CPG网络包括分别相应控制四足机器人的各条腿部的CPG单元,在本实施例中,CPG单元采用Hopf振荡器作为信号发生器,计算复杂度较低且参数数量较少,其数学模型如下:In the motion control of the quadruped robot, the CPG model is mainly used to generate a stable periodic oscillation signal. In this embodiment, the CPG network is used for the hip forward joint and the knee front of each leg of the quadruped robot. Control the joints. The CPG network includes CPG units respectively correspondingly controlling the legs of the quadruped robot. In this embodiment, the CPG unit uses a Hopf oscillator as a signal generator, and the computational complexity is low and the number of parameters is small. The model is as follows:
Figure PCTCN2019081969-appb-000013
Figure PCTCN2019081969-appb-000013
Figure PCTCN2019081969-appb-000014
Figure PCTCN2019081969-appb-000014
Δ ji=y jcosθ ji-x jsinθ ji Δ ji =y j cosθ ji -x j sinθ ji
Figure PCTCN2019081969-appb-000015
Figure PCTCN2019081969-appb-000015
其中,i、j表示四足机器人的腿部序号,i=1,2,3,4、j=1,2,3,4,
Figure PCTCN2019081969-appb-000016
ω i表示第i条腿部的运动频率,α和β是收敛因子,μ是一个参数,用来调节振荡器输出信号的幅值,表示四足机器人的腿部关节角,x i是第i个CPG单元对腿部的髋部前向关节的控制信号,y i是第i个CPG单元对腿部的膝部前向关节的控制信号,
Figure PCTCN2019081969-appb-000017
Figure PCTCN2019081969-appb-000018
分别表示x i和y i对应信号的微分,θ ji代表不同的CPG单元之间的相位差,kΣ jΔ ji是一个耦合多项式,用于调节输出信号曲线的圆滑度,ω stance和ω swing分别代表支撑相频率和摆动相频率,b代表一个常数因子。
Where i and j represent the leg numbers of the quadruped robot, i=1, 2, 3, 4, j=1, 2, 3, 4,
Figure PCTCN2019081969-appb-000016
ω i represents the motion frequency of the i-th leg, α and β are convergence factors, μ is a parameter used to adjust the amplitude of the oscillator output signal, indicating the joint angle of the leg of the quadruped robot, x i is the i The control signal of the CPG unit to the hip forward joint of the leg, y i is the control signal of the i-th CPG unit to the knee forward joint of the leg,
Figure PCTCN2019081969-appb-000017
with
Figure PCTCN2019081969-appb-000018
Representing the differentiation of the signals corresponding to x i and y i respectively, θ ji represents the phase difference between different CPG units, k Σ j Δ ji is a coupling polynomial for adjusting the smoothness of the output signal curve, ω stance and ω swing respectively Represents the supporting phase frequency and the wobble phase frequency, and b represents a constant factor.
其中,x i和y i作为四足机器人的腿部的两个前向关节的控制信号,在进一步的实施例中,y i信号通过一定的滤波处理作为膝关节的控制信号,如下: Where x i and y i are control signals for the two forward joints of the legs of the quadruped robot. In a further embodiment, the y i signal is subjected to a certain filtering process as a control signal for the knee joint, as follows:
Figure PCTCN2019081969-appb-000019
Figure PCTCN2019081969-appb-000019
其中,c是一个常数因子,θ ki为经过滤波处理的第i个CPG单元对腿部的膝部前向关节的控制信号。 Where c is a constant factor and θ ki is the control signal of the filtered i-th CPG unit to the knee forward joint of the leg.
采用比例微分控制对四足机器人的机体的姿态进行调整(也即比例微分控制用于对四足机器人处于支撑相的腿部的各个关节进行控制)的控制律为:The proportional differential control is used to adjust the attitude of the body of the quadruped robot (that is, the proportional differential control is used to control the joints of the legs of the four-legged robot in the support phase):
Figure PCTCN2019081969-appb-000020
Figure PCTCN2019081969-appb-000020
上式中q l表示控制器生成的四足机器人的机体的第l个姿态的姿态关节补偿角,a l表示四足机器人的机体的第l个姿态的实际姿态角,
Figure PCTCN2019081969-appb-000021
表示四足机器人的机体的第l个姿态的实际姿态角速率,a dl表示四足机器人的机体的第l个姿态的期望姿态角,
Figure PCTCN2019081969-appb-000022
表示四足机器人的机体的第l个姿态的期望姿态角速率,k l和b l分别是四足机器人的机体的第l个姿态的比例与微分常数,其中,l=1,2,3。
In the above formula, q l represents the attitude joint compensation angle of the l-th posture of the body of the quadruped robot generated by the controller, and a l represents the actual attitude angle of the l-th posture of the body of the quadruped robot,
Figure PCTCN2019081969-appb-000021
The actual attitude angular velocity of the l-th posture of the body of the quadruped robot, and a dl represents the desired attitude angle of the l-th posture of the body of the quadruped robot,
Figure PCTCN2019081969-appb-000022
The expected attitude angular velocity of the l-th pose of the body of the quadruped robot, k l and b l are the ratio and the differential constant of the l-th pose of the body of the quadruped robot, respectively, where l=1, 2, 3.
上式采用矩阵表示为:The above formula is expressed as a matrix:
Figure PCTCN2019081969-appb-000023
Figure PCTCN2019081969-appb-000023
其中,K=diag(k 1,k 2,k 3)和B=diag(b 1,b 2,b 3)为三阶方阵,分别控四足机器人的机体的三个姿态角及角速率;
Figure PCTCN2019081969-appb-000024
Figure PCTCN2019081969-appb-000025
分别表示四足机器人的机体的实际姿态的角向量和角速率向量,
Figure PCTCN2019081969-appb-000026
Figure PCTCN2019081969-appb-000027
分别表示四足机器人的机体的期望姿态的角向量和角速率向量,q a表示PD控制器产生的四足机器人处于支撑相的腿部的各个关节的姿态补偿角。
Where K=diag(k 1 , k 2 , k 3 ) and B=diag(b 1 , b 2 , b 3 ) are third-order square matrix, respectively controlling the three attitude angles and angular rates of the body of the quadruped robot ;
Figure PCTCN2019081969-appb-000024
with
Figure PCTCN2019081969-appb-000025
An angular vector and an angular rate vector representing the actual posture of the body of the quadruped robot, respectively.
Figure PCTCN2019081969-appb-000026
with
Figure PCTCN2019081969-appb-000027
The angular vector and the angular rate vector of the desired posture of the body of the quadruped robot are respectively indicated, and q a represents the attitude compensation angle of each joint of the leg of the four-legged robot generated by the PD controller.
综合上述,在本实施例中采用下述公式对四足机器人的各条腿部进行控制:In summary, in the present embodiment, the legs of the quadruped robot are controlled by the following formula:
q=q a+q c q=q a +q c
其中,q表示施加在四足机器人的总信号,q a表示控制四足机器人处于支撑相的腿部的各个关节的姿态补偿角,q c是控制四足机器人的各条腿部的髋部前向关节和膝部前向关节的控制信号,其中,在优选的实施例中,q c=(x 1k1,x 2k2,x 3k3,x 4k4) TWhere q represents the total signal applied to the quadruped robot, q a represents the attitude compensation angle of each joint controlling the quadruped robot in the leg of the supporting phase, and q c is the front of the hip that controls each leg of the quadruped robot Control signals to the joint and knee forward joints, wherein, in a preferred embodiment, q c = (x 1 , θ k1 , x 2 , θ k2 , x 3 , θ k3 , x 4 , θ k4 ) T .
现有的CPG控制方法不易结合外部反馈信号,而VMC的方法又过于繁琐复杂,本发明优选实施例公开了一直简洁高效的控制方法,既能克服现有技术的缺陷,又可以实现预期的控制目标。The existing CPG control method is not easy to combine with the external feedback signal, and the VMC method is too cumbersome and complicated. The preferred embodiment of the present invention discloses a simple and efficient control method, which can overcome the defects of the prior art and realize the expected control. aims.
本发明优选实施例提出的四足机器人的运动闭环控制方法依据仿生学原理 产生周期性信号来控制四足机器人的周期运动,相比于其他的动力学方法效率更高,易于理解;并利用比例微分控制律调节四足机器人机体的姿态,使得其能够以合适的姿态稳定行进,相对于其他的一些方法诸如虚拟模型控制,不再需要实时计算单腿雅克比矩阵以及矩阵求逆,摒弃了复杂繁琐的推导与解算,简洁高效。The motion closed-loop control method of the quadruped robot proposed by the preferred embodiment of the present invention generates periodic signals according to the bionics principle to control the periodic motion of the quadruped robot, which is more efficient and easier to understand than other dynamic methods; The differential control law adjusts the attitude of the quadruped robot body so that it can travel stably in a suitable attitude. Compared with other methods such as virtual model control, it is no longer necessary to calculate the single-leg Jacobian matrix and matrix inversion in real time, and eliminate the complexity. The tedious derivation and solution is simple and efficient.
以上内容是结合具体的优选实施方式对本发明所作的进一步详细说明,不能认定本发明的具体实施只局限于这些说明。对于本发明所属技术领域的技术人员来说,在不脱离本发明构思的前提下,还可以做出若干等同替代或明显变型,而且性能或用途相同,都应当视为属于本发明的保护范围。The above is a further detailed description of the present invention in connection with the specific preferred embodiments, and the specific embodiments of the present invention are not limited to the description. It will be apparent to those skilled in the art that <RTIgt; </ RTI> <RTIgt; </ RTI> <RTIgt; </ RTI> <RTIgt; </ RTI> <RTIgt;

Claims (8)

  1. 一种四足机器人的运动闭环控制方法,其特征在于,包括以下步骤:采用CPG网络对所述四足机器人的各条腿部分别产生周期性的控制信号,以生成所述四足机器人的前进信号;同时采用比例微分控制对所述四足机器人的机体的姿态进行调整。A motion closed-loop control method for a quadruped robot, comprising the steps of: generating a periodic control signal for each leg of the quadruped robot by using a CPG network to generate a forward of the quadruped robot The signal is simultaneously adjusted by the proportional differential control to the posture of the body of the quadruped robot.
  2. 根据权利要求1所述的四足机器人的运动闭环控制方法,其特征在于,所述四足机器人的各个所述腿部上分别设有三个关节:髋部侧摆关节、髋部前向关节和膝部前向关节,其中所述CPG网络用于对所述四足机器人的各条所述腿部的髋部前向关节和膝部前向关节进行控制;所述比例微分控制用于对所述四足机器人处于支撑相的所述腿部的各个关节进行控制。The motion closed-loop control method for a quadruped robot according to claim 1, wherein each of said legs of said quadruped robot is provided with three joints: a hip sway joint, a hip forward joint, and a knee forward joint, wherein the CPG network is for controlling a hip forward joint and a knee forward joint of each of the legs of the quadruped robot; the proportional differential control is used for The quadruped robot is in control of each joint of the leg of the support phase.
  3. 根据权利要求2所述的四足机器人的运动闭环控制方法,其特征在于,采用下述公式对所述四足机器人的各条所述腿部进行控制:The motion closed-loop control method for a quadruped robot according to claim 2, wherein each of said legs of said quadruped robot is controlled by the following formula:
    q=q a+q c q=q a +q c
    其中,q表示施加在所述四足机器人的总信号,q a表示控制所述四足机器人处于支撑相的所述腿部的各个关节的姿态补偿角,q c是控制所述四足机器人的各条所述腿部的髋部前向关节和膝部前向关节的控制信号。 Wherein q represents a total signal applied to the quadruped robot, q a represents an attitude compensation angle for controlling each joint of the quadruped robot in the leg of the supporting phase, q c is a control of the quadruped robot Control signals for the hip forward joint and the knee forward joint of each of the legs.
  4. 根据权利要求3所述的四足机器人的运动闭环控制方法,其特征在于,其中的CPG网络包括分别相应控制所述四足机器人的各条所述腿部的CPG单元,CPG单元采用的模型的表达式为:The motion closed-loop control method for a quadruped robot according to claim 3, wherein the CPG network includes a CPG unit that respectively controls each of the legs of the quadruped robot, and a model adopted by the CPG unit The expression is:
    Figure PCTCN2019081969-appb-100001
    Figure PCTCN2019081969-appb-100001
    Figure PCTCN2019081969-appb-100002
    Figure PCTCN2019081969-appb-100002
    Δ ji=y jcosθ ji-x jsinθ ji Δ ji =y j cosθ ji -x j sinθ ji
    Figure PCTCN2019081969-appb-100003
    Figure PCTCN2019081969-appb-100003
    其中,i、j表示所述四足机器人的腿部序号,
    Figure PCTCN2019081969-appb-100004
    ω i表示第i条腿部的运动频率,α和β是收敛因子,μ是一个参数,x i是第i个CPG单元对所述腿部的髋部前向关节的控制信号,y i是第i个CPG单元对所述腿部的膝部 前向关节的控制信号,
    Figure PCTCN2019081969-appb-100005
    Figure PCTCN2019081969-appb-100006
    分别表示x i和y i对应信号的微分,θ ji代表不同的CPG单元之间的相位差,k∑ jΔ ji是一个耦合多项式,ω stance和ω swing分别代表支撑相频率和摆动相频率,b代表一个常数因子;其中,q c=(x 1,y 1,x 2,y 2,x 3,y 3,x 4,y 4) T
    Where i and j represent the leg numbers of the quadruped robot,
    Figure PCTCN2019081969-appb-100004
    ω i represents the motion frequency of the i-th leg, α and β are convergence factors, μ is a parameter, and x i is the control signal of the i-th CPG unit to the hip forward joint of the leg, y i is a control signal of the i-th CPG unit to the knee forward joint of the leg,
    Figure PCTCN2019081969-appb-100005
    with
    Figure PCTCN2019081969-appb-100006
    Representing the differentiation of the signals corresponding to x i and y i respectively, θ ji represents the phase difference between different CPG units, k ∑ j Δ ji is a coupling polynomial, and ω stance and ω swing represent the frequency of the supporting phase and the frequency of the oscillating phase, respectively. b represents a constant factor; wherein q c = (x 1 , y 1 , x 2 , y 2 , x 3 , y 3 , x 4 , y 4 ) T .
  5. 根据权利要求4所述的四足机器人的运动闭环控制方法,其特征在于,其中y i信号通过下式进行滤波处理: The motion closed-loop control method for a quadruped robot according to claim 4, wherein the y i signal is filtered by the following formula:
    Figure PCTCN2019081969-appb-100007
    Figure PCTCN2019081969-appb-100007
    其中,c是一个常数因子,θ ki为经过滤波处理的第 i个CPG单元对所述腿部的膝部前向关节的控制信号;其中q c=(x 1k1,x 2k2,x 3k3,x 4k4) TWhere c is a constant factor and θ ki is the control signal of the filtered i- th CPG unit to the knee forward joint of the leg; where q c = (x 1 , θ k1 , x 2 , θ K2 , x 3 , θ k3 , x 4 , θ k4 ) T .
  6. 根据权利要求3所述的四足机器人的运动闭环控制方法,其特征在于,采用比例微分控制对所述四足机器人的所述机体的姿态进行调整的控制律为:The motion closed-loop control method for a quadruped robot according to claim 3, wherein the control law for adjusting the posture of the body of the quadruped robot by using proportional differential control is:
    Figure PCTCN2019081969-appb-100008
    Figure PCTCN2019081969-appb-100008
    其中,K=diag(k 1,k 2,k 3)和B=diag(b 1,b 2,b 3),其中k l和b l分别是所述四足机器人的所述机体的第l个姿态的比例与微分常数,其中l=1,2,3;
    Figure PCTCN2019081969-appb-100009
    Figure PCTCN2019081969-appb-100010
    分别表示所述四足机器人的所述机体的实际姿态的角向量和角速率向量,
    Figure PCTCN2019081969-appb-100011
    Figure PCTCN2019081969-appb-100012
    分别表示所述四足机器人的所述机体的期望姿态的角向量和角速率向量。
    Where K=diag(k 1 , k 2 , k 3 ) and B=diag(b 1 , b 2 , b 3 ), where k l and b l are the first of the body of the quadruped robot, respectively The proportion of the pose and the differential constant, where l = 1, 2, 3;
    Figure PCTCN2019081969-appb-100009
    with
    Figure PCTCN2019081969-appb-100010
    An angular vector and an angular rate vector respectively representing the actual posture of the body of the quadruped robot,
    Figure PCTCN2019081969-appb-100011
    with
    Figure PCTCN2019081969-appb-100012
    An angular vector and an angular rate vector representing a desired posture of the body of the quadruped robot, respectively.
  7. 根据权利要求1至6任一项所述的四足机器人的运动闭环控制方法,其特征在于,还包括:当所述四足机器人的所述机体的姿态与期望的姿态保持一致时,PD控制器不发生作用;当所述四足机器人的所述机体的姿态发生偏差时,PD控制器根据比例微分控制的控制律产生误差补偿信号,使得所述四足机器人的所述机体按照期望的姿态稳定行进。The motion closed-loop control method for a quadruped robot according to any one of claims 1 to 6, further comprising: when the posture of the body of the quadruped robot is consistent with a desired posture, PD control The device does not function; when the posture of the body of the quadruped robot is deviated, the PD controller generates an error compensation signal according to the control law of the proportional differential control, so that the body of the quadruped robot follows a desired posture Stable travel.
  8. 根据权利要求7所述的四足机器人的运动闭环控制方法,其特征在于,其中PD控制器接受来自力传感器的足端触地信号来判断各个所述腿部的底端的 触地状态。The motion closed-loop control method for a quadruped robot according to claim 7, wherein the PD controller receives the foot touch signal from the force sensor to determine the ground contact state of the bottom end of each of the legs.
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