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具有输入时滞不确定切换系统的鲁棒稳定性分析与控制
引用本文:王新梅,裴海龙,魏武.具有输入时滞不确定切换系统的鲁棒稳定性分析与控制[J].华南理工大学学报(自然科学版),2009,37(10).
作者姓名:王新梅  裴海龙  魏武
作者单位:华南理工大学,自动化科学与工程学院,广东,广州,510640
基金项目:国家自然科学基金重点项目 
摘    要:本文研究了一类输入中同时存在常时滞和时变时滞不确定切换系统的鲁棒稳定性及控制问题,依据还原法思想,Lyapunov稳定性理论并结合LMI,设计了切换系统的状态反馈控制器及相应的切换策略,并给出了系统在控制器作用下稳定的充分条件,仿真算例证明了本文方法的有效性. 最后证明系统在某些情况下使用还原法所设计的控制器与传统的无记忆控制器相比能够镇定更多的系统。

关 键 词:输入时滞切换系统  Lyapunov泛函  LMI(线性矩阵不等式)  还原法  
收稿时间:2008-11-19
修稿时间:2009-2-2

Robust Stability Analysis and Control for Uncertain Switched Systems with Input Delays
Wang Xin-mei,Pei Hai-long,Wei Wu.Robust Stability Analysis and Control for Uncertain Switched Systems with Input Delays[J].Journal of South China University of Technology(Natural Science Edition),2009,37(10).
Authors:Wang Xin-mei  Pei Hai-long  Wei Wu
Abstract:This paper investigates robust stability and control of some uncertain input-delayed switched systems while delays contain constant delays and time-varying delays. Based on the reduction method, Lyapunov stability theory and LMI approach, a state feedback controller and a switch strategy are given, also the sufficient conditions for the system possessing stabilization under the state feedback controller and switch strategy are proposed,the simulation proves that the method is effective and feasible. Finally, we proof that the controller using the reduction method can stabilize a larger class of systems than those existing memoryless controllers under some cases.
Keywords:input-delayed switched systems  Lyapunov-Krasovskii functional candidate  LMI(Linear Matrix Inequality)  reduction method
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