Variable structure control with time-varying boundary layer for robot manipulator

K. Limtanyakul
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Abstract

Variable structure control (VSC) with time-varying boundary layer for robot manipulator is proposed. Chattering is a common problem in VSC implementation. It is generally reduced using a boundary layer concept which has a trade-off between chattering and tracking error. Thus, it would be better if boundary layer can adapt itself to an appropriate value as proposed by Bekit et al. (1998). However, the method requires a linear parametrized model of robot which is difficult to find for multiple-joint robot arm. In this paper, time-varying boundary layer is developed so that the model is no longer needed. As shown in the simulation results, the proposed method can reduce chattering and still has a small error at steady state.
机械臂的时变边界层变结构控制
提出了具有时变边界层的机器人操纵臂变结构控制方法。抖振是VSC实现中常见的问题。通常使用在抖振和跟踪误差之间权衡的边界层概念来减少它。因此,如Bekit et al.(1998)所提出的,边界层可以自适应一个合适的值会更好。然而,该方法需要机器人的线性参数化模型,而对于多关节机械臂来说,这种模型很难找到。本文引入时变边界层,使模型不再需要。仿真结果表明,该方法能够有效地降低系统的抖振,且在稳态时误差较小。
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