A Friction Compensation Algorithm Based on Sliding Mode Control

Zhao Rui, Yang Jianhong
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Abstract

Aiming at the problems caused by nonlinear friction on precision optical servo platform at low speed, a novel sliding mode control (SMC) algorithm with adaptive gains is studied. Integral term is introduced to design sliding surface, and the Twisting control (TC) algorithm based on the idea of higher-order SMC is selected as the switching control law. Nonlinear gradient gains are proposed originally to solve the chattering problem of conventional TC. Then, Anti-windup method is particularly taken into consideration. Simulation results show that the proposed SMC algorithm can effectively compensate the adverse effect of friction on the system control performance at low speed, and in compare with PI algorithm and conventional TC, it achieves faster response, higher accuracy and stronger robustness.
基于滑模控制的摩擦补偿算法
针对精密光学伺服平台低速非线性摩擦问题,研究了一种具有自适应增益的滑模控制算法。将积分项引入滑动面设计,选择基于高阶SMC思想的扭转控制算法作为切换控制律。非线性梯度增益是为了解决传统TC的抖振问题而提出的。然后,特别考虑了反上弦方法。仿真结果表明,所提出的SMC算法能有效补偿低速时摩擦对系统控制性能的不利影响,与PI算法和常规TC算法相比,具有更快的响应速度、更高的精度和更强的鲁棒性。
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