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《第36届中国控制会议论文集(C)》2017年
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Variable Structure Control for Uncertain System

Dan Zhao  Heli Hu  Te Bai  Yuyang Bai  Xiaoyu Liang  Yiran Wang  
【摘要】:This paper is devoted to investigating the problems of the variable structure control and optimization for a class of time delay systems,which contain matched uncertainty and unmatched uncertainty,time-varying delay in state of system.Firstly,some special transformation is made for the considered system to obtain an equivalent system.A sliding surface is designed to ensure the behavior of system in the sliding mode exhibit desired performance.Secondly,it is concentrated on the optimization problem for the bounds of unmatched nonlinearity and designed gains,which guarantees the quadratic stability of the sliding motion.Flexible inequality amplifying techniques are developed for the good theoretical results.Thirdly,the efficient variable structure control is designed to drive the considered system state to the sliding surface and maintain a sliding motion on it thereafter.Finally,the effectiveness of the proposed variable structure control is illustrated through an numerical example.

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