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多状态时滞线性离散切换系统的二次稳定保成本控制

Quadratic Stability Guaranteed Cost Control for Linear Discrete-Time Switched Systems with Multiple State Time-Delays
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摘要 本文基于线性矩阵不等式(LMI)理论研究一类具有不确定和时滞的线性离散切换系统的二次稳定保成本控制问题.利用多Lyapunov函数构造线性矩阵不等式,基于状态的切换规则给出了这类系统二次稳定保成本控制的充分条件,以及切换规则和切换控制器的设计方案.数值计算验证了文中结果的有效性. This paper addresses quadratic stability guaranteed cost control for a class of linear discrete-time switched systems with uncertain multiple time-delays in state and input based on LMI theory. By using multiple Lyapunov functions and constructing linear matrix inequalities, several sufficient conditions for the problem under study is derived with a state-based switching law. Controllers of the subsystems are designed and the switching law obtained simultaneously. A numerical example shows effectiveness of the method.
作者 孙文安 杨寅 裴炳南 张强
机构地区 大连大学信息工程学院 大连大学先进设计与智能计算省部共建教育部重点实验室
出处 《应用科学学报》 EI CAS CSCD 北大核心 2011年第1期97-104,共8页 Journal of Applied Sciences
基金 国家自然科学基金(No.30870573 No.60971107) 辽宁省教育厅高等学校科研项目基金(No.2009A067)资助
关键词 切换系统 时滞 稳定性 反馈 矩阵不等式 switched systems, time-delays, stability, feedback, matrix inequality
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献12

  • 1LIBERZON D.Switching in systems and control[M].Birkhauser,Boston,2003.
  • 2SUN Z,GE S S.Switched linear systems-control and design[M].Berlin Heidelberg New York:Springer,2004.
  • 3LIN H,ANTSAKLIS P J.Stability and stabilizability of switched linear systems:a survey of recent results[J].IEEE Transactions on Automatic Control,2009,54(2):308-322.
  • 4BRANICKY M S.Multiple Lyapunov functions and other analysis tools for switched and hybrid systems[J].IEEE Transactions on Automatic Control,1998,43(4):475-482.
  • 5XIE D,WANG L,HAO F,XIE G.LMI approach to L2 gain analysis and control synthesis of uncertain switched systems[J].IEE Proceedings -Control Theory Applications,2004,151(1):21-28.
  • 6ZHAO Jun,DIMIROVSKI G M.Quadratic stability of a class of switched nonlinear systems[J].IEEE Transactions on Automatic Control,2004,49(4):574-578.
  • 7ZHAO Jun,HILLB D J.On stability,L2-gain and H∞ control for switched systems[J].Automatica,2008,44 (5):1200-1232.
  • 8Lu Liang,LIN Zongli,FANG Haijun.L2 gain analysis for a class of switched systems[Jj.Automatica,2009,45 (4):965-972.
  • 9Wu Ligang,ZHENG Weixing.Weighted H∞ model reduction for linear switched systems with time-varying delay[J].Automatica,2009,45 (1):286-293.
  • 10SUN Ximing,ZHAO Jun,HILLB D J.Stability and L2 gain analysis for switched delay systems:a delay-dependent method[J].Automatica,2006,42(10):1769-1774.

二级参考文献31

  • 1孙文安,孙希明,赵军.具有多胞型摄动的线性切换系统的渐近稳定性[J].东北大学学报（自然科学版）,2004,25(8):723-726. 被引量：6
  • 2Brockett R W.Hybrid modes for motion control systems.Essays in Control[C].Birkhauser,Boston,1993.
  • 3Gollu A,Varaiya P P.Hybrid dynamical systems.Proc 28th IEEE Conf Decision and Control[C].Tampa,1989.3228 -3234.
  • 4Back A,Guckenheimer J,Myers M A.Dynamical simulation facility for hybrid systems.Hybrid Systems[C].New York,Springer,1993.
  • 5Liberzon D.Switching in Systems and Control[M].Birkhauser,Boston,2003.
  • 6Sun Z,Ge S S.Switched Linear Systems-Control and Design[M].Berlin Heidelberg,New York,Springer,2004.
  • 7Xie D,et al.Robust stability analysis and control synthesis for discrete-time uncertain switched systems.Proceedings of the 42nd IEEE Conference on Decision and Control[C].Maui,Hawaii USA,2003.4812-4817.
  • 8Ji Z,et al.Linear matrix inequality approach to quadratic stabilization of switched systems[J].IEE Proc Control Theory Appl,2004,151(3):289-294.
  • 9Xie G,Wang L.New results on stabilizability of switched linear systems.Proceedings of the 42nd IEEE Conference on Decision and Control[C].Maui,Hawaii USA,2003.6265-6270.
  • 10Sun Z,Shorten R.On convergence rates of switched linear systems.Proceedings of the 42nd IEEE Conference on Decision and Control[C].Maui,Hawaii USA,2003.4800-4805.

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应用科学学报
2011年 第1期

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