一类时滞切换系统的稳定性分析与控制

journal6 ›› 2008, Vol. 29 ›› Issue (5): 49-52.

一类时滞切换系统的稳定性分析与控制

（电子科技大学中山学院自动化工程系，广东中山 528403）

出版日期:2008-09-25 发布日期:2012-05-20
作者简介:王连圭（1953-），男，湖南永顺人，电子科技大学中山学院自动化工程系副教授，主要从事非线性系统控制、切换系统稳定性及应用、智能控制等研究.
基金资助:
国家自然科学基金资助项目（60574006）；广东省自然科学基金资助项目（7010717）

Stability Analysis and Control for a Class of Switched Systems with Time-Delay

(Department of Automatic Engineering,Zhongshan College,Zhongshan 528403，Guangdong China )

Online:2008-09-25 Published:2012-05-20

摘要/Abstract

摘要：研究了一类由多个子系统组成的时滞切换系统的稳定性与控制问题，利用线性不等式系统的可行性给出了切换系统渐近稳定的充分条件.采用多李雅普诺夫函数给出了系统渐近稳定的条件及切换律的设计方法，并且基于多李雅普诺夫函数的设计方法可表示线性不等式的形式，给出了相应基于线性矩阵不等式算法切换系统稳定界的确定方法，并计算出保证系统稳定的最大摄动值及切换域.最后通过多个子系统组成切换系统进行仿真，仿真结果验证了该方法的有效性.

关键词： 切换系统, 稳定性分析与控制, 线性矩阵不等式（LMI）, 稳定界

Abstract: The problem of stability analysis and control for consisting of a class of multiple subsystem of switched systems with time-delay are studied,sufficient conditions of switched system asymptotic stability are given be using linear matrix inequality.Condition of asymptotic stability of the switched systems and design technique of the switch laws by using multiple lyapunov function were given.Design technique based on multiple Lyapunov Function can be expressed as linear matrix inequalities.The corresponding linear matrix inequalities based algorithms for determining stability bounds were derived.The switch laws and the maximum perturbation to ensure system stability can be calculated.The switched system consisting of multiple subsystems is simulated.The simulation results show effectiveness of the methods.

Key words: switched system with time-delay, stability analysis and control, linear matrix inequality, stability bounds

王连圭, 李森. 一类时滞切换系统的稳定性分析与控制[J]. journal6, 2008, 29(5): 49-52.

WANG Lian-Gui, LI Sen. Stability Analysis and Control for a Class of Switched Systems with Time-Delay[J]. journal6, 2008, 29(5): 49-52.

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