CN101414190A - Method and system for controlling apery robot stabilized walking based on effective stable domain - Google Patents

Method and system for controlling apery robot stabilized walking based on effective stable domain Download PDF

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CN101414190A
CN101414190A CNA2008101719810A CN200810171981A CN101414190A CN 101414190 A CN101414190 A CN 101414190A CN A2008101719810 A CNA2008101719810 A CN A2008101719810A CN 200810171981 A CN200810171981 A CN 200810171981A CN 101414190 A CN101414190 A CN 101414190A
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reaction force
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黄强
余张国
陈学超
高峻峣
张伟民
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Beijing Institute of Technology BIT
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Abstract

本发明公开了一种基于有效稳定区域仿人机器人稳定行走的控制方法和系统,属于自动化控制领域。所述方法包括:通过力传感器测得机器人的地面反作用力;根据所述地面反作用力,得到机器人的地面反作用力合力点;判断规划零力矩点和所述地面反作用力合力点是否都在有效稳定区域内;根据判断结果,控制所述机器人行走。所述装置包括:力传感器、处理模块、判断模块和控制模块。所述系统包括:前馈器、实时修正器和伺服驱动器。本发明通过对机器人的踝关节角度进行实时修正,使规划ZMP点和地面反作用力合力点都在有效稳定区域内,实现了机器人的稳定行走。

Figure 200810171981

The invention discloses a control method and system for stable walking of a humanoid robot based on an effective stable area, belonging to the field of automatic control. The method includes: measuring the ground reaction force of the robot through a force sensor; obtaining the resultant point of the ground reaction force of the robot according to the ground reaction force; judging whether the planned zero moment point and the resultant point of the ground reaction force are both effective and stable In the area; according to the judgment result, control the robot to walk. The device includes: a force sensor, a processing module, a judgment module and a control module. The system includes: a feedforward device, a real-time corrector and a servo driver. The invention corrects the ankle joint angle of the robot in real time, so that the planned ZMP point and the resultant force point of the ground reaction force are all in the effective stable area, thereby realizing the stable walking of the robot.

Figure 200810171981

Description

基于有效稳定区域仿人机器人稳定行走的控制方法和系统 Control method and system for stable walking of humanoid robot based on effective stable area

技术领域 technical field

本发明涉及自动化控制领域,特别涉及一种基于有效稳定区域仿人机器人稳定行走的控制方法和系统。The invention relates to the field of automation control, in particular to a control method and system for stable walking of a humanoid robot based on an effective stable area.

背景技术 Background technique

仿人机器人(以下简称机器人)跟人一样,是靠两条腿的行走实现移动的。它的双腿结构跟人类似,较传统的轮式和履带式机器人有更好的机动性,尤其是在凹凸不平的地面、楼梯以及与地面仅有离散不连续的接触点的场合更体现出优越性。但是双足机器人有本质不稳定的特点,容易摔倒。为了使机器人行走,需要给定机器人的行走轨迹(动态步态)。机器人的动态步态是一种固有的、周期的运动,是依据双足机器人整体动力学产生的。由于约束条件的耦合性和动力学方程的复杂性,动态步态计算需要一个优化过程。因此,动态步态一般只能通过离线计算方法来实现。也就是说,动态步态一般是在假设双足机器人模型和周围环境已知的情况下生成的。实际上,双足机器人行走现实环境不可能与设定的环境和条件完全相同,由于机器人周围环境的变化或产生了未知状况,如果机器人机械地按照预先规划好的动态步态执行,不对所规划的动态步态进行实时修正和控制,很可能会产生不稳定甚至摔倒等异常现象。因此,必须根据当前的环境信息和机器人当前的自身状态,对规划的动态步态进行修正,进行实时步态控制,克服环境的改变与不确定性,使机器人能在实际环境中稳定行走。Humanoid robots (hereinafter referred to as robots) move by walking on two legs, just like people. Its legs are similar to human beings, and it has better maneuverability than traditional wheeled and tracked robots, especially on uneven ground, stairs, and occasions where there are only discrete and discontinuous contact points with the ground. Superiority. However, biped robots are inherently unstable and prone to falls. In order for the robot to walk, it is necessary to give the walking trajectory (dynamic gait) of the robot. The dynamic gait of a robot is an inherent, periodic motion that is generated according to the overall dynamics of a biped robot. Due to the coupling of constraints and the complexity of dynamic equations, dynamic gait calculation requires an optimization process. Therefore, dynamic gaits can generally only be achieved by offline computational methods. That is, dynamic gaits are generally generated under the assumption that the biped robot model and the surrounding environment are known. In fact, the real environment of a biped robot cannot be exactly the same as the set environment and conditions. Due to changes in the surrounding environment of the robot or unknown conditions, if the robot performs mechanically in accordance with the pre-planned dynamic gait, the planned Real-time correction and control of the dynamic gait of the human body may cause abnormal phenomena such as instability or even falling. Therefore, it is necessary to correct the planned dynamic gait according to the current environmental information and the current state of the robot, and perform real-time gait control to overcome environmental changes and uncertainties, so that the robot can walk stably in the actual environment.

现有技术一公开了一种基于零力矩点(ZMP,Zero Moment Point)补偿的控制方法,具体是通过改变机器人的上身和修正机器人足部位置实现ZMP补偿,使机器人稳定行走;Prior art 1 discloses a control method based on zero moment point (ZMP, Zero Moment Point) compensation, specifically by changing the upper body of the robot and correcting the position of the foot of the robot to realize ZMP compensation, so that the robot can walk stably;

其中,ZMP的具体含义如下:根据力学原理,当物体处于静止状态时,其平衡的充要条件是其重心在地面上的投影落在其支撑面内;而当物体处于运动状态时,其平衡的必要条件是所受重力与惯性力的合力的延长线通过其支撑面内,该合力的延长线与支撑面的交点称为ZMP。Among them, the specific meaning of ZMP is as follows: According to the principles of mechanics, when an object is in a static state, the necessary and sufficient condition for its balance is that the projection of its center of gravity on the ground falls on its supporting surface; and when the object is in a moving state, its balance The necessary condition is that the extension line of the resultant force of gravity and inertial force passes through its support surface, and the intersection point of the extension line of the resultant force and the support surface is called ZMP.

现有技术二公开了一种控制两足步行机器人的方法,具体是根据地面反作用力,计算横摇角和纵摇角,按横摇角和纵摇角驱动制动器,使受力面法向向量与重力方向上的参考向量对齐,实现机器人稳定行走。Prior Art 2 discloses a method for controlling a bipedal walking robot. Specifically, according to the ground reaction force, the roll angle and pitch angle are calculated, and the brake is driven according to the roll angle and pitch angle, so that the normal vector of the force-bearing surface Align with the reference vector in the direction of gravity to realize stable walking of the robot.

在实现本发明的过程中,发明人发现现有技术至少存在以下问题:In the process of realizing the present invention, the inventor finds that there are at least the following problems in the prior art:

1)现有技术一中机器人的状态修正需要进行动力学计算,难以做到实时补偿和修正;另外,该方法没有考虑机器人动态步行必需的稳定裕度。1) The state correction of the robot in the prior art 1 requires dynamic calculations, and it is difficult to achieve real-time compensation and correction; in addition, this method does not consider the stability margin necessary for the dynamic walking of the robot.

2)现有技术二只适合于机器人的静态步行场合,而不适合机器人的动态步行控制。2) The prior art two is only suitable for the static walking occasion of the robot, but not suitable for the dynamic walking control of the robot.

发明内容 Contents of the invention

为了使机器人稳定行走,本发明实施例提供了一种基于有效稳定区域仿人机器人稳定行走的控制方法和系统。所述技术方案如下:In order to make the robot walk stably, an embodiment of the present invention provides a control method and system for stably walking a humanoid robot based on an effective stable region. Described technical scheme is as follows:

一方面,本发明实施例提供了一种基于有效稳定区域仿人机器人稳定行走的控制方法,所述方法包括:On the one hand, an embodiment of the present invention provides a control method for stable walking of a humanoid robot based on an effective stable area, the method comprising:

通过力传感器测得机器人的地面反作用力;The ground reaction force of the robot is measured by the force sensor;

根据所述地面反作用力,得到机器人的地面反作用力合力点;According to the ground reaction force, the resultant point of the ground reaction force of the robot is obtained;

判断规划零力矩点和所述地面反作用力合力点是否都在有效稳定区域内;Judging whether the planned zero-moment point and the resultant point of the ground reaction force are both within the effective stable area;

根据判断结果,控制所述机器人行走。According to the judgment result, the robot is controlled to walk.

另一方面,本发明实施例提供了一种基于有效稳定区域仿人机器人稳定行走的控制装置,所述装置包括:On the other hand, an embodiment of the present invention provides a control device for stable walking of a humanoid robot based on an effective stable area, and the device includes:

力传感器,用于测得机器人的地面反作用力;The force sensor is used to measure the ground reaction force of the robot;

处理模块,用于根据所述力传感器测得的地面反作用力,得到机器人的地面反作用力合力点;The processing module is used to obtain the resultant force point of the ground reaction force of the robot according to the ground reaction force measured by the force sensor;

判断模块,用于判断规划零力矩点和所述处理模块得到的地面反作用力合力点是否都在有效稳定区域内;A judging module, used to judge whether the planned zero-moment point and the resultant ground reaction force point obtained by the processing module are all within the effective stable area;

控制模块,用于根据所述判断模块的判断结果,控制所述机器人行走。A control module, configured to control the robot to walk according to the judgment result of the judgment module.

另一方面,本发明实施例还提供了一种基于有效稳定区域仿人机器人稳定行走的控制系统,所述系统包括:On the other hand, the embodiment of the present invention also provides a control system for stable walking of a humanoid robot based on an effective stable area, and the system includes:

前馈器,用于提供机器人的离线规划的动态步态θa0(t);Feedforward, used to provide the dynamic gait θ a0 (t) of the offline planning of the robot;

实时修正器,用于当所述机器人的地面反作用力合力点和/或规划零力矩点不在有效稳定区域内时,提供对所述前馈器中的动态步态划θa0(t)进行修正的实时修正量Δθa(t);A real-time modifier, used to correct the dynamic gait θ a0 (t) in the feedforward when the resultant ground reaction force point and/or the planned zero moment point of the robot are not in the effective stable region The real-time correction amount Δθ a (t);

伺服驱动器,用于将所述前馈器中的动态步态θa0(t)和所述实时修正器中的实时修正量Δθa(t)相加后,驱动所述机器人的踝关节。The servo driver is used to drive the ankle joint of the robot after adding the dynamic gait θ a0 (t) in the feedforward unit and the real-time correction amount Δθ a (t) in the real-time corrector.

本发明实施例提供的技术方案的有益效果是:The beneficial effects of the technical solution provided by the embodiments of the present invention are:

通过对机器人的踝关节角度进行实时修正,使规划ZMP点和地面反作用力合力点都在有效稳定区域内,实现了机器人的稳定行走;并且,无需明确的机器人动力学模型,计算简单,快速修正机器人的动态步态,使机器人能适应未知环境。By correcting the ankle joint angle of the robot in real time, the planned ZMP point and the resultant force point of the ground reaction force are all in the effective stable area, realizing the stable walking of the robot; moreover, the calculation is simple and the correction is fast without the need for a clear robot dynamic model The dynamic gait of the robot enables the robot to adapt to the unknown environment.

附图说明 Description of drawings

图1是机器人的步行控制器结构示意图;Fig. 1 is the structural representation of the walk controller of robot;

图2是机器人的ZMP点和地面反作用力合力点与稳定区域的关系示意图;Fig. 2 is a schematic diagram of the relationship between the ZMP point of the robot and the resultant force point of the ground reaction force and the stable area;

图3是本发明实施例1提供的一种基于有效稳定区域仿人机器人稳定行走的控制方法流程图;3 is a flow chart of a control method for stable walking of a humanoid robot based on an effective stable area provided by Embodiment 1 of the present invention;

图4是本发明实施例2提供的一种基于有效稳定区域仿人机器人稳定行走的控制装置示意图;Fig. 4 is a schematic diagram of a control device for stable walking of a humanoid robot based on an effective stable area provided by Embodiment 2 of the present invention;

图5是本发明实施例3提供的一种基于有效稳定区域仿人机器人稳定行走的控制系统示意图。Fig. 5 is a schematic diagram of a control system for a stable walking of a humanoid robot based on an effective stable area provided by Embodiment 3 of the present invention.

具体实施方式 Detailed ways

为使本发明的目的、技术方案和优点更加清楚,下面将结合附图对本发明实施方式作进一步地详细描述。In order to make the object, technical solution and advantages of the present invention clearer, the implementation manner of the present invention will be further described in detail below in conjunction with the accompanying drawings.

参见图1,为机器人的步行控制器结构示意图,步行控制器由起前馈作用的离线规划的踝关节的动态步态θa0(t)(离线规划的踝关节角度)和起局部反馈作用的踝关节的实时修正量Δθa(t)构成,机器人包括上身101、髋关节102、膝关节103、踝关节104、脚105、力传感器106及各个部分之间的连接件,力传感器106,用于测得地面反作用力的大小。Referring to Fig. 1, it is a structural schematic diagram of the walking controller of the robot. The walking controller consists of the dynamic gait θ a0 (t) of the ankle joint (the ankle joint angle of the offline planning) which plays a feedforward role and the local feedback function The real-time correction amount Δθ a (t) of the ankle joint is formed, and the robot includes an upper body 101, a hip joint 102, a knee joint 103, an ankle joint 104, a foot 105, a force sensor 106 and the connection between each part, and the force sensor 106 uses to measure the magnitude of the ground reaction force.

机器人分为单脚支撑期和双脚支撑期,当在单脚支撑期时,通过单脚的力传感器测得单脚的地面反作用力;当在双脚支撑期时,通过双脚的力传感器分别测得双脚的地面反作用力。通过力传感器测得的地面反作用力,可以得到地面反作用力合力点,具体是:当在单脚支撑期时,通过单脚的力传感器测得的单脚的地面反作用力的着力点即为地面反作用力合力点;当在双脚支撑期时,通过双脚的力传感器分别测得的双脚的地面反作用力的合力的着力点为地面反作用力合力点。The robot is divided into a single-foot support period and a double-foot support period. When in the single-foot support period, the ground reaction force of the single foot is measured through the force sensor of the single foot; The ground reaction forces were measured separately for both feet. Through the ground reaction force measured by the force sensor, the resultant force point of the ground reaction force can be obtained, specifically: when in the single-foot support period, the point of the ground reaction force of the single foot measured by the force sensor of the single foot is the ground Reaction force resultant force point; when in the support period of both feet, the force point of the resultant force of the ground reaction force of both feet respectively measured by the force sensors of both feet is the resultant force point of ground reaction force.

机器人在行走过程中,为了避免机器人倾倒,保证机器人稳定行走,规划ZMP点(预先规划的,保证机器人稳定行走的ZMP点)和地面反作用力合力点必须在稳定区域内。如果规划ZMP点和地面反作用力合力点在稳定区域内,一般地,机器人能行走而不至于倾倒。但为了确保机器人能够稳定行走,规划ZMP点和地面反作用力合力点与稳定区域边界应保持一定距离,使规划ZMP点和地面反作用力合力点在有效稳定区域内,即有一定的稳定裕度。参见图2,示出了机器人的稳定区域边界201,有效稳定区域202及规划ZMP点203和地面反作用力合力点204,dzmp是规划ZMP点203(不在有效稳定区域内时)与有效稳定区域边界205的距离,df是地面反作用力合力点204(不在有效稳定区域内时)与有效稳定区域边界205的距离。During the walking process of the robot, in order to avoid the robot toppling over and ensure the stable walking of the robot, the planned ZMP point (the ZMP point planned in advance to ensure the stable walking of the robot) and the resultant force point of the ground reaction force must be in the stable area. If the planned ZMP point and the resultant point of the ground reaction force are in the stable area, generally, the robot can walk without falling over. However, in order to ensure that the robot can walk stably, a certain distance should be kept between the planned ZMP point and the resultant point of the ground reaction force and the boundary of the stable area, so that the planned ZMP point and the resultant point of the ground reaction force are within the effective stable area, that is, there is a certain stability margin. Referring to Fig. 2, the stable area boundary 201 of robot is shown, effective stable area 202 and planning ZMP point 203 and ground reaction force resultant force point 204, d zmp is planning ZMP point 203 (when not in effective stable area) and effective stable area The distance of the boundary 205, d f is the distance between the ground reaction force resultant point 204 (when not in the effective stable area) and the effective stable area boundary 205 .

本发明实施例中机器人稳定行走时,机器人踝关节的伺服控制参考角度θa(t)(机器人行走时的实际踝关节角度)等于离线规划的动态步态θa0(t)与实时修正量Δθa(t)之和,也就是θa(t)=θa0(t)+Δθa(t)。其中,θa0(t)一般是在给定机器人模型和周围环境已知的情况下生成的;Δθa(t)是当机器人的地面反作用力合力点和/或规划ZMP点不在有效稳定区域内时,使机器人维持平衡时对踝关节角度的实时修正量。In the embodiment of the present invention, when the robot walks stably, the servo control reference angle θ a (t) of the robot ankle joint (the actual ankle joint angle when the robot walks) is equal to the dynamic gait θ a0 (t) of offline planning and the real-time correction amount Δθ The sum of a (t), that is, θ a (t) = θ a0 (t) + Δθ a (t). Among them, θ a0 (t) is generally generated when the robot model and the surrounding environment are known; Δθ a (t) is when the robot’s ground reaction force resultant point and/or planning ZMP point is not in the effective stable area , the real-time correction amount to the ankle joint angle when the robot maintains balance.

下面将具体描述如何利用对踝关节角度的实时修正量,对踝关节角度进行实时修正,避免机器人倾倒,保证机器人稳定行走。The following will specifically describe how to use the real-time correction amount of the ankle joint angle to correct the ankle joint angle in real time to avoid the robot from toppling over and ensure the robot to walk stably.

实施例1Example 1

参见图3,为本发明实施例提供的一种基于有效稳定区域仿人机器人稳定行走的控制方法流程图,用于对踝关节角度进行实时修正,保证机器人稳定行走,具体包括:Referring to FIG. 3 , it is a flow chart of a control method for stable walking of a humanoid robot based on an effective stable area provided by an embodiment of the present invention, which is used for real-time correction of the ankle joint angle to ensure stable walking of the robot, specifically including:

301:通过力传感器测得地面反作用力,根据力传感器测得的地面反作用力,得到地面反作用力合力点。301: The ground reaction force is measured by the force sensor, and a ground reaction force resultant point is obtained according to the ground reaction force measured by the force sensor.

机器人在静止或行走过程中,可以通过力传感器测得地面反作用力的大小。When the robot is stationary or walking, it can measure the magnitude of the ground reaction force through the force sensor.

机器人在行走过程中,可分为单脚支撑期和双脚支撑期,当在单脚支撑期时,通过单脚的力传感器测得单脚的地面反作用力;当在双脚支撑期时,通过双脚的力传感器分别测得双脚的地面反作用力。机器人在静止时同机器人在行走过程中的双脚支撑期,此处不再赘述。During the walking process of the robot, it can be divided into a single-leg support period and a double-leg support period. When in the single-leg support period, the ground reaction force of the single foot is measured by the force sensor of the single foot; when in the double-leg support period, The ground reaction force of both feet is measured separately by the force sensors of both feet. When the robot is at rest and when the robot is walking, the two-foot support period will not be repeated here.

通过力传感器测得的地面反作用力,可以得到地面反作用力合力点,具体是:当在单脚支撑期时,通过单脚的力传感器测得的单脚的地面反作用力的着力点即为地面反作用力合力点;当在双脚支撑期时,通过双脚的力传感器分别测得的双脚的地面反作用力的合力的着力点为地面反作用力合力点。Through the ground reaction force measured by the force sensor, the resultant force point of the ground reaction force can be obtained, specifically: when in the single-foot support period, the point of the ground reaction force of the single foot measured by the force sensor of the single foot is the ground Reaction force resultant force point; when in the support period of both feet, the force point of the resultant force of the ground reaction force of both feet respectively measured by the force sensors of both feet is the resultant force point of ground reaction force.

302:判断规划ZMP点和地面反作用力合力点是否都在有效稳定区域内。302: Determine whether the planned ZMP point and the resultant ground reaction force point are both within the effective stable area.

判断规划ZMP点和地面反作用力合力点是否都在有效稳定区域内,可能的结果如下:Judging whether the planned ZMP point and the resultant ground reaction force point are both in the effective stable area, the possible results are as follows:

规划ZMP点和地面反作用力合力点都在有效稳定区域内;Both the planned ZMP point and the resultant point of ground reaction force are within the effective stable area;

规划ZMP点不在有效稳定区域内,地面反作用力合力点在有效稳定区域内;The planned ZMP point is not in the effective stable area, and the resultant ground reaction force point is in the effective stable area;

规划ZMP点在有效稳定区域内,地面反作用力合力点不在有效稳定区域内;The planned ZMP point is in the effective stable area, and the resultant ground reaction force point is not in the effective stable area;

规划ZMP点和地面反作用力合力点都不在有效稳定区域内。Neither the planned ZMP point nor the resultant point of ground reaction force is in the effective stable area.

303:根据步骤302的判断结果,控制机器人行走。303: Control the robot to walk according to the judgment result of step 302.

根据步骤302的判断结果,控制机器人行走具体包括下面几种情况:According to the judgment result of step 302, controlling the robot to walk specifically includes the following situations:

如果步骤302的判断结果是规划ZMP点和地面反作用力合力点都在有效稳定区域内,机器人按照离线规划的动态步态行走。也就是说不需要对机器人的踝关节角度进行修正,机器人的踝关节角度为离线规划的动态步态θa0(t)。If the judgment result of step 302 is that both the planned ZMP point and the ground reaction resultant force point are within the effective stable area, the robot walks according to the dynamic gait planned offline. That is to say, there is no need to correct the ankle joint angle of the robot, and the ankle joint angle of the robot is the dynamic gait θ a0 (t) planned offline.

如果步骤302的判断结果是规划ZMP点不在有效稳定区域内,地面反作用力合力点在有效稳定区域内,则对支撑脚的踝关节角度,按照规划ZMP点与有效稳定区域边界的距离进行修正,使规划ZMP点调整到有效稳定区域内。If the judgment result of step 302 is that the planned ZMP point is not in the effective stable area, and the resultant point of the ground reaction force is in the effective stable area, then the ankle joint angle of the supporting foot is corrected according to the distance between the planned ZMP point and the boundary of the effective stable area, Adjust the planning ZMP point to the effective stable area.

对支撑脚的踝关节角度,按照规划ZMP点与有效稳定区域边界的距离进行修正,具体过程是:在离线规划的动态步态θa0(t)的基础上加上实时修正量Δθa(t),实现对踝关节角度的实时修正。动态步态θa0(t)是离线规划好的,是已知量,实时修正量Δθa(t)是在机器人实际行走过程中,实时计算出来的对动态步态θa0(t)的修正量。The ankle joint angle of the supporting foot is corrected according to the distance between the planned ZMP point and the boundary of the effective stable area. The specific process is: on the basis of the offline planned dynamic gait θ a0 (t), add the real-time correction amount Δθ a (t ), to achieve real-time correction of the ankle joint angle. The dynamic gait θ a0 (t) is planned offline and is a known quantity. The real-time correction Δθ a (t) is the correction to the dynamic gait θ a0 (t) calculated in real time during the actual walking process of the robot. quantity.

实时修正量Δθa(t)按下面的(1)式计算:The real-time correction amount Δθ a (t) is calculated according to the following formula (1):

ΔθΔθ aa (( tt )) == ∫∫ 00 tt φφ (( tt )) dtdt -- -- -- (( 11 ))

式中, &phi; ( t ) = K 1 c * d zmp ( t ) , F foot > 0 - K 1 r * &Delta;&theta; a ( t - T ) , F foot = 0 , dzmp(t)表示t时刻规划ZMP点与有效稳定区域边界的距离,K1c和K1r是系数,且0<K1c<1、0<K1r<1,T是计算机控制周期,Ffoot是力传感器测得的对脚的地面反作用力的大小,Ffoot>0表示脚处于支撑状态,Ffoot=0表示脚处于摆动状态,也就是处于支撑状态的脚转换到摆动状态时,按照Ffoot=0对应的公式对该脚的踝关节角度进行修正,当脚处于摆动状态时,该脚的踝关节角度应该逐渐恢复到固有动态步态规定的值,所以Ffoot=0对应的公式是使该脚的踝关节角度恢复到固有动态步态规定的值。In the formula, &phi; ( t ) = K 1 c * d zmp ( t ) , f foot > 0 - K 1 r * &Delta;&theta; a ( t - T ) , f foot = 0 , d zmp (t) represents the distance between the planned ZMP point and the boundary of the effective stable area at time t, K 1c and K 1r are coefficients, and 0<K 1c <1, 0<K 1r <1, T is the computer control period, F foot It is the magnitude of the ground reaction force on the foot measured by the force sensor. F foot >0 means that the foot is in a supporting state, and F foot = 0 means that the foot is in a swinging state, that is, when the foot in the supporting state is converted to a swinging state, according to F The formula corresponding to foot = 0 corrects the ankle joint angle of the foot. When the foot is in a swing state, the ankle joint angle of the foot should gradually return to the value specified by the inherent dynamic gait, so the formula corresponding to F foot = 0 is Return the ankle angle of that foot to the value dictated by the intrinsic dynamic gait.

需要说明的是,机器人分为单脚支撑期和双脚支撑期,当在单脚支撑期时,对单脚的踝关节角度,按照规划ZMP点与有效稳定区域边界的距离进行修正,使规划ZMP点调整到有效稳定区域内;当在双脚支撑期时,对双脚的踝关节角度,分别按照规划ZMP点与有效稳定区域边界的距离进行修正,使规划ZMP点调整到有效稳定区域内。It should be noted that the robot is divided into a single-foot support period and a double-foot support period. When in the single-foot support period, the ankle joint angle of the single foot is corrected according to the distance between the planned ZMP point and the boundary of the effective stable area, so that the planned Adjust the ZMP point to the effective stable area; when the feet are in the support period, the ankle joint angles of both feet are corrected according to the distance between the planned ZMP point and the boundary of the effective stable area, so that the planned ZMP point is adjusted to the effective stable area .

如果步骤302的判断结果是规划ZMP点在有效稳定区域内,地面反作用力合力点不在有效稳定区域内,对支撑脚的踝关节角度,按照地面反作用力合力点与有效稳定区域边界的距离进行修正,使地面反作用力合力点调整到有效稳定区域内。If the judgment result of step 302 is that the planned ZMP point is in the effective stable area, and the ground reaction force resultant point is not in the effective stable area, the ankle joint angle of the supporting foot is corrected according to the distance between the ground reaction force resultant point and the boundary of the effective stable area , so that the resultant force point of the ground reaction force is adjusted to the effective stable area.

对支撑脚的踝关节角度,按照地面反作用力合力点与有效稳定区域边界的距离进行修正,具体过程是:在离线规划的动态步态θa0(t)的基础上加上实时修正量Δθa(t),实现对踝关节角度的修正。动态步态θa0(t)是离线规划好的,是已知量,实时修正量Δθa(t)是在机器人实际行走过程中,实时计算出来的对动态步态θa0(t)的修正量。The ankle joint angle of the supporting foot is corrected according to the distance between the resultant force point of the ground reaction force and the boundary of the effective stable area. The specific process is: add the real-time correction amount Δθ a to the dynamic gait θ a0 (t) planned offline (t), realizing the correction of the ankle joint angle. The dynamic gait θ a0 (t) is planned offline and is a known quantity. The real-time correction Δθ a (t) is the correction to the dynamic gait θ a0 (t) calculated in real time during the actual walking process of the robot. quantity.

实时修正量Δθa(t)按下面的(2)式计算:The real-time correction amount Δθ a (t) is calculated according to the following formula (2):

Figure A200810171981D00111
Figure A200810171981D00111

式中,

Figure A200810171981D00112
df(t)表示t时刻地面反作用力合力点与有效稳定区域边界的距离,K2c和K2r是系数,且0<K2c<1、0<K2r<1,T是计算机控制周期,Ffoot是力传感器测得的对脚的地面反作用力的大小,Ffoot>0表示脚处于支撑状态,Ffoot=0表示脚处于摆动状态,也就是处于支撑状态的脚转换到摆动状态时,按照Ffoot=0对应的公式对该脚的踝关节角度进行修正,当脚处于摆动状态时,该脚的踝关节角度应该逐渐恢复到固有动态步态规定的值,所以Ffoot=0对应的公式是使该脚的踝关节角度恢复到固有动态步态规定的值。In the formula,
Figure A200810171981D00112
d f (t) represents the distance between the ground reaction force resultant point and the boundary of the effective stable area at time t, K 2c and K 2r are coefficients, and 0<K 2c <1, 0<K 2r <1, T is the computer control cycle, F foot is the magnitude of the ground reaction force on the feet measured by the force sensor. F foot >0 means that the feet are in a support state, and F foot = 0 means that the feet are in a swing state, that is, when the feet in a support state switch to a swing state, Correct the ankle joint angle of the foot according to the formula corresponding to F foot = 0. When the foot is in a swing state, the ankle joint angle of the foot should gradually return to the value specified by the inherent dynamic gait, so the corresponding value of F foot = 0 The formula is to return the ankle angle of that foot to the value dictated by the inherent dynamic gait.

需要说明的是,机器人分为单脚支撑期和双脚支撑期,当在单脚支撑期时,对单脚的踝关节角度,按照地面反作用力合力点与有效稳定区域边界的距离进行修正,使地面反作用力合力点调整到有效稳定区域内;当在双脚支撑期时,对双脚的踝关节角度,分别按照地面反作用力合力点与有效稳定区域边界的距离进行修正,使地面反作用力合力点调整到有效稳定区域内。It should be noted that the robot is divided into a single-foot support period and a double-foot support period. When in the single-foot support period, the ankle joint angle of the single foot is corrected according to the distance between the resultant force point of the ground reaction force and the boundary of the effective stable area. Adjust the resultant force point of the ground reaction force to the effective stable area; when in the support period of the feet, correct the ankle joint angles of both feet according to the distance between the resultant force point of the ground reaction force and the boundary of the effective stable area, so that the ground reaction force The resultant force point is adjusted to the effective stable area.

如果步骤302的判断结果是规划ZMP点和地面反作用力合力点都不在有效稳定区域内,则对于支撑脚的踝关节角度,按照规划ZMP点与有效稳定区域边界的距离和地面反作用力合力点与有效稳定区域边界的距离之积进行修正,使规划ZMP点和地面反作用力合力点都调整到有效稳定区域内。If the judgment result of step 302 is that neither the planning ZMP point nor the ground reaction force resultant point is in the effective stable area, then for the ankle angle of the supporting foot, according to the distance between the planning ZMP point and the boundary of the effective stable area and the ground reaction force resultant point and The distance product of the boundary of the effective stable area is corrected, so that the planned ZMP point and the resultant force point of the ground reaction force are both adjusted to the effective stable area.

对于支撑脚的踝关节角度,按照规划ZMP点与有效稳定区域边界的距离和地面反作用力合力点与有效稳定区域边界的距离之积进行修正,具体过程是:在离线规划的动态步态θa0(t)的基础上加上实时修正量Δθa(t),实现对踝关节角度的修正。动态步态θa0(t)是离线规划好的,是已知量,实时修正量Δθa(t)是在机器人实际行走过程中,实时计算出来的对动态步态θa0(t)的修正量。For the ankle joint angle of the supporting foot, it is corrected according to the product of the distance between the planned ZMP point and the boundary of the effective stable area and the distance between the resultant force point of the ground reaction force and the boundary of the effective stable area. The specific process is: in the offline planned dynamic gait θ a0 On the basis of (t), add the real-time correction amount Δθ a (t) to realize the correction of the ankle joint angle. The dynamic gait θ a0 (t) is planned offline and is a known quantity. The real-time correction Δθ a (t) is the correction to the dynamic gait θ a0 (t) calculated in real time during the actual walking process of the robot. quantity.

实时修正量Δθa(t)按下面的(3)式计算:The real-time correction amount Δθ a (t) is calculated according to the following formula (3):

&Delta;&theta;&Delta;&theta; aa (( tt )) == == &Integral;&Integral; 00 tt &psi;&psi; (( tt )) dtdt -- -- -- (( 33 ))

式中, &psi; ( t ) = K 3 c * d zmp ( t ) * d f ( t ) , F foot > 0 - K 3 r * &Delta;&theta; a ( t - T ) , F foot = 0 , dzmp(t)表示t时刻规划ZMP点与有效稳定区域边界的距离,df(t)表示t时刻地面反作用力合力点与有效稳定区域边界的距离,K3c和K3r是系数,且0<K3c<1、0<K3r<1,T是计算机控制周期,Ffoot是力传感器测得的对脚的地面反作用力的大小,Ffoot>0表示脚处于支撑状态,Ffoot=0表示脚处于摆动状态,也就是处于支撑状态的脚转换到摆动状态时,按照Ffoot=0对应的公式对该脚的踝关节角度进行修正,当脚处于摆动状态时,该脚的踝关节角度应该逐渐恢复到固有动态步态规定的值,所以Ffoot=0对应的公式是使该脚的踝关节角度恢复到固有动态步态规定的值。In the formula, &psi; ( t ) = K 3 c * d zmp ( t ) * d f ( t ) , f foot > 0 - K 3 r * &Delta;&theta; a ( t - T ) , f foot = 0 , d zmp (t) represents the distance between the planned ZMP point and the boundary of the effective stable area at time t, d f (t) represents the distance between the resultant point of ground reaction force and the boundary of the effective stable area at time t, K 3c and K 3r are coefficients, and 0 <K 3c <1, 0<K 3r <1, T is the computer control cycle, F foot is the magnitude of the ground reaction force on the foot measured by the force sensor, F foot >0 means the foot is in a supported state, F foot =0 Indicates that the foot is in a swing state, that is, when the foot in the support state is converted to a swing state, the ankle joint angle of the foot is corrected according to the formula corresponding to F foot = 0, and when the foot is in a swing state, the ankle joint angle of the foot is It should gradually return to the value specified by the inherent dynamic gait, so the formula corresponding to F foot =0 is to restore the ankle joint angle of the foot to the value specified by the inherent dynamic gait.

需要说明的是,机器人分为单脚支撑期和双脚支撑期,当在单脚支撑期时,对单脚的踝关节角度,按照规划ZMP点与有效稳定区域边界的距离和地面反作用力合力点与有效稳定区域边界的距离之积进行修正,使规划ZMP点和地面反作用力合力点都调整到有效稳定区域内;当在双脚支撑期时,对双脚的踝关节角度,分别按照规划ZMP点与有效稳定区域边界的距离和地面反作用力合力点与有效稳定区域边界的距离之积进行修正,使规划ZMP点和地面反作用力合力点都调整到有效稳定区域内。It should be noted that the robot is divided into a single-foot support period and a double-foot support period. When in the single-foot support period, the angle of the ankle joint of the single foot is determined according to the distance between the planned ZMP point and the boundary of the effective stable area and the resultant force of the ground reaction force The product of the distance between the point and the boundary of the effective stable area is corrected, so that the planned ZMP point and the resultant force point of the ground reaction force are adjusted to the effective stable area; The product of the distance between the ZMP point and the boundary of the effective stable area and the distance between the resultant point of the ground reaction force and the boundary of the effective stable area is corrected so that the planned ZMP point and the resultant point of the ground reaction force are adjusted to the effective stable area.

本发明实施例所述的方法,通过对机器人的踝关节角度进行实时修正,使规划ZMP点和地面反作用力合力点都在有效稳定区域内,实现了机器人的稳定行走;并且,无需明确的机器人动力学模型,计算简单,快速修正机器人的动态步态,使机器人能适应未知环境。In the method described in the embodiment of the present invention, by correcting the ankle joint angle of the robot in real time, the planned ZMP point and the resultant force point of the ground reaction force are all within the effective stable area, and the stable walking of the robot is realized; and no specific robot is required. The dynamic model is simple to calculate, and can quickly correct the dynamic gait of the robot, so that the robot can adapt to the unknown environment.

实施例2Example 2

参见图4,本发明实施例提供了一种基于有效稳定区域仿人机器人稳定行走的控制装置,该装置具体包括:Referring to Fig. 4, an embodiment of the present invention provides a control device for stable walking of a humanoid robot based on an effective stable area, the device specifically includes:

力传感器401,用于测得机器人的地面反作用力;The force sensor 401 is used to measure the ground reaction force of the robot;

处理模块402,用于根据力传感器401测得的地面反作用力,得到机器人的地面反作用力合力点;The processing module 402 is used to obtain the resultant force point of the ground reaction force of the robot according to the ground reaction force measured by the force sensor 401;

判断模块403,用于判断规划零力矩点和处理模块402得到的地面反作用力合力点是否都在有效稳定区域内;Judging module 403, for judging whether the planned zero-moment point and the resultant ground reaction force point obtained by the processing module 402 are all within the effective stable area;

控制模块404,用于根据判断模块403的判断结果,控制机器人行走。The control module 404 is configured to control the robot to walk according to the determination result of the determination module 403 .

其中,控制模块404具体包括:Wherein, the control module 404 specifically includes:

处理单元,用于当判断模块403的判断结果是规划零力矩点和地面反作用力合力点都在有效稳定区域内时,使机器人按照规划的动态步态行走。The processing unit is configured to make the robot walk according to the planned dynamic gait when the judging result of the judging module 403 is that the planned zero-moment point and the resultant ground reaction force point are both within the effective stable area.

其中,控制模块404具体包括::Wherein, the control module 404 specifically includes:

第一修正单元,用于当判断模块403的判断结果是规划零力矩点不在有效稳定区域内,地面反作用力合力点在有效稳定区域内时,对支撑脚的踝关节角度,按照规划零力矩点与有效稳定区域边界的距离进行修正,其中,具体的修正方式为:在离线规划的动态步态θa0(t)的基础上加上实时修正量Δθa(t),实现对踝关节角度的实时修正。动态步态θa0(t)是离线规划好的,是已知量,实时修正量Δθa(t)是在机器人实际行走过程中,实时计算出来的对动态步态θa0(t)的修正量,实时修正量Δθa(t)按照实施例1中的(1)式计算。The first correction unit is used to, when the judging result of the judging module 403 is that the planned zero-moment point is not in the effective stable area, and the resultant force point of the ground reaction force is in the effective stable area, adjust the angle of the ankle joint of the supporting foot according to the planned zero-moment point The distance to the boundary of the effective stable area is corrected. The specific correction method is: on the basis of the dynamic gait θ a0 (t) planned offline, the real-time correction amount Δθ a (t) is added to realize the adjustment of the ankle joint angle. Correction in real time. The dynamic gait θ a0 (t) is planned offline and is a known quantity. The real-time correction Δθ a (t) is the correction to the dynamic gait θ a0 (t) calculated in real time during the actual walking process of the robot. The real-time correction amount Δθ a (t) is calculated according to the formula (1) in Example 1.

其中,控制模块404具体包括:Wherein, the control module 404 specifically includes:

第二修正单元,用于当判断模块403的判断结果是规划零力矩点在有效稳定区域内,地面反作用力合力点不在有效稳定区域内时,对支撑脚的踝关节角度,按照地面反作用力合力点与有效稳定区域边界的距离进行修正,其中,具体的修正方式为:在离线规划的动态步态θa0(t)的基础上加上实时修正量Δθa(t),实现对踝关节角度的实时修正。动态步态θa0(t)是离线规划好的,是已知量,实时修正量Δθa(t)是在机器人实际行走过程中,实时计算出来的对动态步态θa0(t)的修正量,实时修正量Δθa(t)按照实施例1中的(2)式计算。The second correction unit is used to, when the judging result of the judging module 403 is that the planned zero-moment point is in the effective stable area, and the resultant force point of the ground reaction force is not in the effective stable area, the angle of the ankle joint of the supporting foot is calculated according to the resultant force of the ground reaction force The distance between the point and the boundary of the effective stable area is corrected. The specific correction method is: add the real-time correction amount Δθ a (t) on the basis of the dynamic gait θ a0 (t) planned offline to realize the adjustment of the ankle joint angle real-time corrections. The dynamic gait θ a0 (t) is planned offline and is a known quantity. The real-time correction Δθ a (t) is the correction to the dynamic gait θ a0 (t) calculated in real time during the actual walking process of the robot. The real-time correction amount Δθ a (t) is calculated according to the formula (2) in Example 1.

其中,控制模块404具体包括:Wherein, the control module 404 specifically includes:

第三修正单元,用于当判断模块403的判断结果是规划零力矩点和地面反作用力合力点都不在有效稳定区域内时,对支撑脚的踝关节角度,按照规划零力矩点与有效稳定区域边界的距离和地面反作用力合力点与有效稳定区域边界的距离之积进行修正,其中,具体的修正方式为:在离线规划的动态步态θa0(t)的基础上加上实时修正量Δθa(t),实现对踝关节角度的实时修正。动态步态θa0(t)是离线规划好的,是已知量,实时修正量Δθa(t)是在机器人实际行走过程中,实时计算出来的对动态步态θa0(t)的修正量,实时修正量Δθa(t)按照实施例1中的(3)式计算。The third correction unit is used for when the judging result of the judging module 403 is that neither the planned zero-moment point nor the resultant point of the ground reaction force is within the effective stable area, for the ankle joint angle of the supporting foot, according to the planned zero-moment point and the effective stable area The distance between the boundary and the product of the distance between the resultant force point of the ground reaction force and the boundary of the effective stable area is corrected. The specific correction method is: adding the real-time correction amount Δθ on the basis of the dynamic gait θ a0 (t) planned offline a (t), to achieve real-time correction of the ankle joint angle. The dynamic gait θ a0 (t) is planned offline and is a known quantity. The real-time correction Δθ a (t) is the correction to the dynamic gait θ a0 (t) calculated in real time during the actual walking process of the robot. The real-time correction amount Δθ a (t) is calculated according to the formula (3) in Example 1.

本发明实施例所示的装置,通过对机器人的踝关节角度进行实时修正,使规划ZMP点和地面反作用力合力点都在有效稳定区域内,实现了机器人的稳定行走;并且,无需明确的机器人动力学模型,计算简单,快速修正机器人的动态步态,使机器人能适应未知环境。The device shown in the embodiment of the present invention, through the real-time correction of the ankle joint angle of the robot, makes the planned ZMP point and the resultant force point of the ground reaction force within the effective stable area, and realizes the stable walking of the robot; The dynamic model is simple to calculate, and can quickly correct the dynamic gait of the robot, so that the robot can adapt to the unknown environment.

实施例3Example 3

参见图5,本发明实施例提供了一种基于有效稳定区域仿人机器人稳定行走的控制系统,该系统具体包括:Referring to Fig. 5, an embodiment of the present invention provides a control system for stable walking of a humanoid robot based on an effective stable area. The system specifically includes:

前馈器501,用于提供机器人的离线规划的踝关节的动态步态θa0(t);Feedforwarder 501, for providing the dynamic gait θ a0 (t) of the ankle joint of the offline planning of the robot;

实时修正器502,用于当机器人的地面反作用力合力点和/或规划零力矩点不在有效稳定区域内时,提供对前馈器501中的动态步态划θa0(t)进行修正的踝关节的实时修正量Δθa(t);The real-time modifier 502 is used to provide an ankle for correcting the dynamic gait θ a0 (t) in the feedforwarder 501 when the resultant force point of the ground reaction force of the robot and/or the planned zero-moment point are not in the effective stable region Joint real-time correction Δθ a (t);

当规划ZMP点不在有效稳定区域内,地面反作用力合力点在有效稳定区域内,实时修正量Δθa(t)按照实施例1中的(1)式计算;When the planning ZMP point is not in the effective stable area, the resultant ground reaction force point is in the effective stable area, and the real-time correction amount Δθ a (t) is calculated according to the formula (1) in Embodiment 1;

当地面反作用力合力点不在有效稳定区域内,规划ZMP点在有效稳定区域内,实时修正量Δθa(t)按照实施例1中的(2)式计算;When the resultant force point of the ground reaction force is not in the effective stable area, the planning ZMP point is in the effective stable area, and the real-time correction amount Δθ a (t) is calculated according to (2) formula in embodiment 1;

当规划ZMP点和地面反作用力合力点都不在有效稳定区域内,实时修正量Δθa(t)按照实施例1中的(3)式计算。When the planned ZMP point and the resultant point of ground reaction force are not in the effective stable area, the real-time correction value Δθ a (t) is calculated according to the formula (3) in Embodiment 1.

伺服驱动器503,用于将前馈器501中的动态步态θa0(t)和实时修正器502中的实时修正量Δθa(t)相加后,驱动机器人的踝关节。需要说明的是,机器人双脚的踝关节分别设有上述系统,机器人分为单脚支撑期和双脚支撑期,当在单脚支撑期时,支撑脚的踝关节的该系统对支撑脚的踝关节进行修正;当在双脚支撑期时,双脚的踝关节的该系统对分别对双脚各自的踝关节进行修正。The servo driver 503 is used to drive the ankle joint of the robot after adding the dynamic gait θ a0 (t) in the feedforwarder 501 and the real-time correction amount Δθ a (t) in the real-time corrector 502 . It should be noted that the ankle joints of both feet of the robot are respectively equipped with the above-mentioned systems, and the robot is divided into a single-foot support period and a double-foot support period. The ankle joint is corrected; when in the double-foot support phase, the system of the ankle joints of both feet corrects the respective ankle joints of both feet.

本发明实施例所示的系统,通过对机器人的踝关节角度进行实时修正,使规划ZMP点和地面反作用力合力点都在有效稳定区域内,实现了机器人的稳定行走;并且,无需明确的机器人动力学模型,计算简单,快速修正机器人的动态步态,使机器人能适应未知环境。In the system shown in the embodiment of the present invention, by correcting the ankle joint angle of the robot in real time, the planned ZMP point and the resultant force point of the ground reaction force are all within the effective stable area, and the stable walking of the robot is realized; and no specific robot is required. The dynamic model is simple to calculate, and can quickly correct the dynamic gait of the robot, so that the robot can adapt to the unknown environment.

以上实施例提供的技术方案中的全部或部分内容可以通过软件编程实现,其软件程序存储在可读取的存储介质中,存储介质例如:计算机中的硬盘、光盘或软盘。All or part of the technical solutions provided by the above embodiments can be realized by software programming, and the software program is stored in a readable storage medium, such as a hard disk, an optical disk or a floppy disk in a computer.

以上所述仅为本发明的较佳实施例,并不用以限制本发明,凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,都应包含在本发明的保护范围之内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention should be included in the protection of the present invention. within range.

Claims (14)

1. A control method for humanoid robot stable walking based on an effective stable region is characterized by comprising the following steps:
measuring the ground reaction force of the robot through a force sensor;
according to the ground reaction force, obtaining a ground reaction force resultant point of the robot;
judging whether a planned zero moment point and the resultant point of the ground reaction force are both in an effective stable area;
and controlling the robot to walk according to the judgment result.
2. The method for controlling the humanoid robot to walk stably based on the effective stable region of claim 1, wherein the controlling the robot to walk according to the determination result specifically comprises:
and if the judgment result shows that the planning zero moment point and the ground reaction force resultant point are both in the effective stable area, the robot walks according to the planned dynamic gait.
3. The method for controlling the humanoid robot to walk stably based on the effective stable region of claim 1, wherein the controlling the robot to walk according to the determination result specifically comprises:
and if the judgment result shows that the planned zero moment point is not in the effective stable area and the resultant force point of the ground reaction force is in the effective stable area, correcting the ankle joint angle of the supporting leg according to the distance between the planned zero moment point and the boundary of the effective stable area.
4. The method for controlling the humanoid robot to walk stably based on the effective stable region as claimed in claim 3, wherein the correcting according to the distance between the planned zero moment point and the boundary of the effective stable region specifically comprises:
dynamic gait theta planned off-linea0(t) adding a real-time correction amount [ Delta ] [ theta ] to the correction signala(t);
The real-time correction amount Delta thetaaThe (t) is specifically:
<math> <mrow> <msub> <mi>&Delta;&theta;</mi> <mi>a</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <msubsup> <mo>&Integral;</mo> <mn>0</mn> <mi>t</mi> </msubsup> <mi>&phi;</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mi>dt</mi> </mrow></math>
wherein, <math> <mrow> <mi>&phi;</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <mrow> <mfenced open='{' close=''> <mtable> <mtr> <mtd> <msub> <mi>K</mi> <mrow> <mn>1</mn> <mi>c</mi> </mrow> </msub> <mo>*</mo> <msub> <mi>d</mi> <mi>zmp</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>,</mo> </mtd> <mtd> <msub> <mi>F</mi> <mi>foot</mi> </msub> <mo>></mo> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <msub> <mrow> <mo>-</mo> <mi>K</mi> </mrow> <mrow> <mn>1</mn> <mi>r</mi> </mrow> </msub> <mo>*</mo> <msub> <mi>&Delta;&theta;</mi> <mi>a</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>-</mo> <mi>T</mi> <mo>)</mo> </mrow> <mo>,</mo> </mtd> <mtd> <msub> <mi>F</mi> <mi>foot</mi> </msub> <mo>=</mo> <mn>0</mn> </mtd> </mtr> </mtable> </mfenced> </mrow> <mo>,</mo> </mrow></math> dzmp(t) represents the distance between the planned zero moment point and the effective stable area boundary at the moment t, K1cAnd K1rIs a coefficient, and 0<K1c<1、0<K1r<1, T is the computer control period, FfootIs the magnitude of the ground reaction force to the foot measured by the force sensor, Ffoot>0 indicates that the foot is in a supporting state, Ffoot0 indicates that the foot is in a swing state.
5. The method for controlling the humanoid robot to walk stably based on the effective stable region of claim 1, wherein the controlling the robot to walk according to the determination result specifically comprises:
and if the judgment result is that the planning zero moment point is in the effective stable area and the ground reaction force resultant point is not in the effective stable area, correcting the ankle joint angle of the supporting leg according to the distance between the ground reaction force resultant point and the boundary of the effective stable area.
6. The method for controlling the humanoid robot to walk stably based on the effective stable area as claimed in claim 5, wherein the correcting according to the distance between the resultant force point of the ground reaction force and the boundary of the effective stable area specifically comprises:
dynamic gait theta planned off-linea0(t) adding a real-time correction amount [ Delta ] [ theta ] to the correction signala(t);
The real-time correction amount Delta thetaaThe (t) is specifically:
Figure A200810171981C00031
wherein,
Figure A200810171981C00032
df(t) represents the distance between the resultant point of the ground reaction force and the boundary of the effective stable area at the moment t, K2cAnd K2rIs a coefficient, and 0<K2c<1、0<K2r<1, T is the computer control period, FfootIs the ground to the foot measured by the force sensorMagnitude of reaction force, Ffoot>0 indicates that the foot is in a supporting state, Ffoot0 indicates that the foot is in a swing state.
7. The method for controlling the humanoid robot to walk stably based on the effective stable region of claim 1, wherein the controlling the robot to walk according to the determination result specifically comprises:
and if the judgment result shows that the planning zero moment point and the ground reaction force resultant point are not in the effective stable area, correcting the ankle joint angle of the supporting leg according to the product of the distance between the planning zero moment point and the effective stable area boundary and the distance between the ground reaction force resultant point and the effective stable area boundary.
8. The method for controlling the humanoid robot to walk stably based on the effective stable region of claim 7, wherein the correcting is performed according to a product of a distance between the planned zero moment point and the boundary of the effective stable region and a distance between the resultant force point of the ground reaction force and the boundary of the effective stable region, and specifically comprises:
dynamic gait theta planned off-linea0(t) adding a real-time correction amount [ Delta ] [ theta ] to the correction signala(t);
The real-time correction amount Delta thetaaThe (t) is specifically:
<math> <mrow> <msub> <mi>&Delta;&theta;</mi> <mi>a</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <mo>=</mo> <msubsup> <mo>&Integral;</mo> <mn>0</mn> <mi>t</mi> </msubsup> <mi>&psi;</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mi>dt</mi> </mrow></math>
wherein, <math> <mrow> <mi>&psi;</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <mrow> <mfenced open='{' close=''> <mtable> <mtr> <mtd> <msub> <mi>K</mi> <mrow> <mn>3</mn> <mi>c</mi> </mrow> </msub> <mo>*</mo> <msub> <mi>d</mi> <mi>zmp</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>*</mo> <msub> <mi>d</mi> <mi>f</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>,</mo> </mtd> <mtd> <msub> <mi>F</mi> <mi>foot</mi> </msub> <mo>></mo> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <msub> <mrow> <mo>-</mo> <mi>K</mi> </mrow> <mrow> <mn>3</mn> <mi>r</mi> </mrow> </msub> <mo>*</mo> <msub> <mi>&Delta;&theta;</mi> <mi>a</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>-</mo> <mi>T</mi> <mo>)</mo> </mrow> <mo>,</mo> </mtd> <mtd> <msub> <mi>F</mi> <mi>foot</mi> </msub> <mo>=</mo> <mn>0</mn> </mtd> </mtr> </mtable> </mfenced> </mrow> <mo>,</mo> </mrow></math> dzmp(t) represents the distance of the planned zero moment point from the effective stable area boundary at time t,df(t) represents the distance between the resultant point of the ground reaction force and the boundary of the effective stable area at the moment t, K3cAnd K3rIs a coefficient, and 0<K3c<1、0<K3r<1, T is the computer control period, FfootIs the magnitude of the ground reaction force to the foot measured by the force sensor, Ffoot>0 indicates that the foot is in a supporting state, Ffoot0 indicates that the foot is in a swing state.
9. A control device for humanoid robot stable walking based on effective stable region, which is characterized in that the device comprises:
the force sensor is used for measuring the ground reaction force of the robot;
the processing module is used for obtaining a resultant force point of the ground reaction force of the robot according to the ground reaction force measured by the force sensor;
the judging module is used for judging whether a planning zero moment point and a resultant point of the ground reaction force obtained by the processing module are both in an effective stable area;
and the control module is used for controlling the robot to walk according to the judgment result of the judgment module.
10. The control device for the humanoid robot to walk stably based on the effective stable region as claimed in claim 9, wherein the control module specifically comprises:
and the processing unit is used for enabling the robot to walk according to a planned dynamic gait when the judgment result of the judgment module is that the planned zero moment point and the ground reaction force resultant point are both in the effective stable area.
11. The control device for the humanoid robot to walk stably based on the effective stable region as claimed in claim 9, wherein the control module specifically comprises:
and the first correcting unit is used for correcting the ankle joint angle of the supporting leg according to the distance between the planned zero moment point and the boundary of the effective stable area when the judgment result of the judging module is that the planned zero moment point is not in the effective stable area and the resultant force point of the ground reaction force is in the effective stable area.
12. The control device for the humanoid robot to walk stably based on the effective stable region as claimed in claim 9, wherein the control module specifically comprises:
and the second correction unit is used for correcting the ankle joint angle of the supporting leg according to the distance between the resultant force point of the ground reaction force and the boundary of the effective stable area when the judgment result of the judgment module is that the planned zero moment point is in the effective stable area and the resultant force point of the ground reaction force is not in the effective stable area.
13. The control device for the humanoid robot to walk stably based on the effective stable region as claimed in claim 9, wherein the control module specifically comprises:
and the third correcting unit is used for correcting the ankle joint angle of the supporting leg according to the product of the distance between the planned zero moment point and the effective stable area boundary and the distance between the ground reaction force resultant point and the effective stable area boundary when the judging result of the judging module shows that the planned zero moment point and the ground reaction force resultant point are not in the effective stable area.
14. A control system for humanoid robot stable walking based on effective stable region, characterized in that the system includes:
a feedforward for providing a dynamic gait θ of the robot for off-line planninga0(t);
A real-time corrector for providing a dynamic gait trajectory theta to the feedforward device when the ground reaction force resultant point and/or the planned zero moment point of the robot are not within the effective stable areaa0(t) real-time correction amount [ Delta ] [ theta ] for correctiona(t);
A servo driver for driving a dynamic gait theta in the feedforwarda0(t) and a real-time correction amount Delta theta in the real-time correctora(t) after the addition, driving the ankle joint of the robot.
CNA2008101719810A 2008-10-28 2008-10-28 Method and system for controlling apery robot stabilized walking based on effective stable domain Pending CN101414190A (en)

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CN111504521A (en) * 2020-05-07 2020-08-07 腾讯科技(深圳)有限公司 Flexible capacitor array and preparation method thereof, and capacitor array detection system
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