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具有时变时滞的离散切换系统的鲁棒H_∞控制 被引量：9

Robust H_∞ Control for Discrete Switched Systems with Time-Varying Delays
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摘要 利用多Lyapunov函数方法,研究一类具有时变时滞的线性离散切换系统的鲁棒H∞控制问题.在每个子系统都不能实现鲁棒H∞控制的假设条件下,基于切换状态反馈控制策略,给出了系统实现鲁棒H∞控制的充分条件,且这一条件可以表示成与时滞界相关的线性矩阵不等式(LMI)的形式,还分别给出了切换律和鲁棒H∞切换控制器的设计方案,并讨论了时滞界与H∞性能的关系.最后的仿真例子表明了结论的有效性. The multiple Lyapunov function is used to study the robust H∞ control of a class of linear discrete switched systems with time-varying/delaying uncertainties. Assuming that the H∞ control cannot be implemented in each individual subsystem and based on switching state feedback control, a delay-dependent and LMI-based sufficient condition is given for the system implementation of robust H∞ control. In addition, the designs of switching law and robust H∞ controller are given, with the relationship between time-delay bound and H∞ performance discussed. A simulation example is given to show the validity of the results.
作者 宋政一 聂宏 赵军
机构地区 东北大学信息科学与工程学院
出处 《东北大学学报（自然科学版）》 EI CAS CSCD 北大核心 2007年第4期469-472,共4页 Journal of Northeastern University(Natural Science)
基金 国家自然科学基金资助项目(60574013) 中国博士后科学基金资助项目(2005037754) 辽宁省教育厅科研基金资助项目(2004F100)
关键词 线性离散切换系统 时变时滞 鲁棒H∞控制 多LYAPUNOV函数 线性矩阵不等式(LMI) linear discrete switched system time-varying/delaying robust H∞ control multiple Lyapunov function linear matrix inequality （LMI）
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]
  • 相关文献

参考文献10

  • 1Song S H,Kim J K.H∞ control of discrete-time linear systems with norm-bounded uncertainties and time delay in state[J].Automatica,1998,34(1):137-139.
  • 2Kim J K,Park H B.H∞ state feedback control for generalized continuous/discrete time-delay system[J].Automatica,1999,35(8):1443-1451.
  • 3Lee Y S,Moon Y S,Kwon W H,et al.Delay-dependent robust H∞ control for uncertain systems with a state-delay[J].Automatica,2004,40(1):65-72.
  • 4Song S H,Kim J K,Yim C H,et al.H∞ control of discrete-time linear systems with time-varying delays in state[J].Automatica,1999,35(9):1587-1591.
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  • 9宋政一,赵军.线性离散切换系统H_∞问题可解的充分条件[J].东北大学学报（自然科学版）,2005,26(1):9-12. 被引量：3
  • 10Cuzzola F A,Morari M.An LMI approach for H∞ analysis and control of discrete-time piecewise affine systems[J].International Journal of Control,2002,75(16/17):1293-1301.

二级参考文献9

  • 1Savkin A V, Matveev A S. Cyclic linear differential automata: a simple class of hybrid dynamical systems[J]. Automatica, 2000,36(5):727-734.
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  • 6Liberzon D, Morse A S. Basic problems in stability and design of switched systems[J]. Control Systems Magazine, 1999,19(5):59-70.
  • 7Song S H, Kim J K. H∞ control of discrete-time linear systems with norm-bounded uncertainties and time delay in state[J]. Automatica, 1998,34(1):137-139.
  • 8Yuan L S, Achenie L E, Jiang W S. Robust H∞ control for linear discrete-time systems with norm-bounded time-varying uncertainty[J]. Systems & Control Letters, 1996,27(4):199-208.
  • 9Wang Z D, Huang B, Unbehauen H. Robust H∞ observer design of linear state delayed systems with parametric uncertainty: the discrete-time case[J]. Automatica, 1999,35(6):1161-1167.

共引文献2

同被引文献77

引证文献9

二级引证文献13

东北大学学报（自然科学版）
2007年 第4期

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