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时滞切换系统的时滞依赖稳定 被引量：4

Delay-dependent stability of switched linear systems with time-delay
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摘要 首先利用多Lyapunov函数方法,分析常时滞切换系统的时滞依赖稳定性,并给出此系统时滞依赖稳定的充分条件及切换律的设计;然后运用共同Lyapunov函数方法,研究一类时变时滞切换系统的时滞依赖稳定性,也给出此系统时滞依赖稳定的充分条件及切换律的设计.所得结果均可用线性矩阵不等式方法求解.最后通过仿真验证了结论的正确有效性. First, the delay-dependent stability of switched linear systems with time-invariant delays is studied by using multiple Lyapunov function methods. The sufficient conditions of the delay-dependent stability and the design method of the switching law are developed. Then the stability of a class of switched systems with time-varying delays is analyzed by utilizing common Lyapunov function methods. The sufficient condition of the delay-dependent stability and the design method of the switching law are also determined. All results are obtained by using the linear-matrix-inequality method. The conclusions are proved to be valid by simulation.
作者 罗正选 张霄力
机构地区 中国电信深圳市分公司 厦门大学自动化系
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2009年第1期89-91,共3页 Control Theory & Applications
基金 国家自然科学基金资助项目(60774033) 福建省青年科技人才创新项目资金资助项目(2005J006) 厦门大学985二期信息创新平台资助项目
关键词 时滞切换系统 时滞依赖稳定 常时滞 变时滞 switched systems with time-delay delay-dependent stability time-invariant delays time-varying delays
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
  • 相关文献

参考文献7

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二级参考文献31

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共引文献31

同被引文献39

  • 1周慧波,李萍,刘玉忠.带有时滞摄动切换系统的H_∞渐近稳定性[J].哈尔滨理工大学学报,2006,11(2):53-56. 被引量：1
  • 2杨红,赵军.一类不确定切换模糊系统的鲁棒控制[J].东北大学学报（自然科学版）,2006,27(7):713-715. 被引量：9
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  • 4Ooba T, Funahashi Y. On a common quadratic Lyapunov function for widely distant systems. IEEE Trans Autom Control, 2003, 42 (12) :1697.
  • 5Yu L, Liberzon D. Common Lyapunov functions for families of commuting nonlinear systems. Syst Control Lett, 2005,54 ( 5 ) : 405.
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  • 7Momeni A, Agndam A G. Switching control for time-delay systems //Proceedings of the 2006 American Control Conference. Minneapolis, 2006:5432.
  • 8Shao H Y. New delay-dependent stability criteria for systems with interval delay. Automatica, 2009, 45:744.
  • 9Hien L V, Ha Q P, Phat V N. Stability and stabilization of switched linear dynamic systems with time delay and uncertainties. Appl Math Comput, 2009, 210:223.
  • 10Kim S, Campbell S A, Liu X Z. Delay independent stability of linear switching systems with time delay. J Math Anal Appl, 2008, 339:785.

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控制理论与应用
2009年 第1期

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