Prescribed performance sliding mode control for the PAMs elbow exoskeleton in the tracking trajectory task

Zhirui Zhao, Lina Hao, Guanghong Tao, Hongjun Liu, Lihua Shen
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Abstract

Purpose

This study discusses the tracking trajectory issue of the exoskeleton under the bounded disturbance and designs an useful tracking trajectory control method to solve it. By using the proposed control method, the tracking error can be successfully convergence to the assigned boundary. Meanwhile, the chattering effect caused by the actuators is already reduced, and the tracking performance of the pneumatic artificial muscles (PAMs) elbow exoskeleton is improved effectively.

Design/methodology/approach

A prescribed performance sliding mode control method was developed in this study to fulfill the joint position tracking trajectory task on the elbow exoskeleton driven by two PAMs. In terms of the control structure, a dynamic model was built by conforming to the adaptive law to compensate for the time variety and uncertainty exhibited by the system. Subsequently, a super-twisting algorithm-based second-order sliding mode control method was subjected to the exoskeleton under the boundedness of external disturbance. Moreover, the prescribed performance control method exhibits a smooth prescribed function with an error transformation function to ensure the tracking error can be finally convergent to the pre-designed requirement.

Findings

From the theoretical perspective, the stability of the control method was verified through Lyapunov synthesis. On that basis, the tracking performance of the proposed control method was confirmed through the simulation and the manikin model experiment.

Originality/value

As revealed by the results of this study, the proposed control method sufficiently applies to the PAMs elbow exoskeleton for tracking trajectory, which means it has potential application in the actual robot-assisted passive rehabilitation tasks.

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PAMs肘部外骨骼在轨迹跟踪任务中的规定性能滑模控制
目的探讨有界扰动下外骨骼的跟踪轨迹问题,设计一种实用的跟踪轨迹控制方法。利用所提出的控制方法,跟踪误差可以成功收敛到指定的边界。同时,气动人造肌肉(pam)肘关节外骨骼的跟踪性能得到了有效的提高。设计/方法/方法本研究提出了一种规定性能的滑模控制方法来完成由两个pam驱动的肘关节外骨骼关节位置跟踪轨迹任务。在控制结构方面,根据自适应律建立了动态模型,以补偿系统的时变和不确定性。然后,在外部扰动有界的条件下,对外骨骼进行了基于超扭转算法的二阶滑模控制。规定的性能控制方法具有平滑的规定函数和误差变换函数,保证跟踪误差最终收敛到预先设计的要求。从理论角度出发,通过Lyapunov合成验证了控制方法的稳定性。在此基础上,通过仿真和人体模型实验验证了所提控制方法的跟踪性能。独创性/价值本研究结果表明,所提出的控制方法充分适用于pam手肘外骨骼的轨迹跟踪,在实际的机器人辅助被动康复任务中具有潜在的应用价值。
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