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多状态时变时滞线性切换系统的鲁棒二次镇定H_∞控制 被引量：5

Robust Quadratic Stabilization H_∞ Control for a Class of Linear Switched Systems with Multiple Time-Varying Delays in State and Input
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摘要 基于LMI和H∞控制理论,研究了一类具有不确定和时滞的线性切换系统的鲁棒二次镇定H∞控制问题.利用多Lyapunov函数技术构造线性矩阵不等式,在基于状态的切换规则下,给出了这类系统鲁棒二次镇定且具有H∞性能界的充分条件,以及切换规则和鲁棒H∞切换控制器的设计方案.最后用数值例子对所得结果加以验证,表明了文中给出结果的有效性. This paper addresses the problem of robust quadratic stabilization H∞control for a class of linear switched systems with uncertain multiple time-varying delays in state and input based on LMI and H∞theory.Based on multiple Lyapunov function techniques and by constructing linear matrix inequalities,several sufficient conditions for the problem to be solvable are derived by using a state-based switching law.Meanwhile,robust H∞controllers for each subsystem and switching law are designed.A numerical example shows effec-tiveness of the method.
作者 孙文安 张洋 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3期316-324,共9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2011年度高等学校科研项目基金资助
关键词 时滞切换系统 二次镇定 H∞控制 多LYAPUNOV函数 线性矩阵不等式 time-delay switched systems quadratic stabilization H∞ control multiple Lyapunov function linear matrix inequality（LMI）
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11

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  • 2LIN H,ANTSAKLIS P J.Stability and stabilizability of switched linear systems:a survey of recent resuits[J].IEEE Transactions on Automatic Control,2009,54(2):308-322.
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二级参考文献31

  • 1孙文安,孙希明,赵军.线性切换系统二次稳定的一个充分条件[J].东北大学学报（自然科学版）,2004,25(11):1024-1026. 被引量：6
  • 2孙文安,赵军.基于LMIs的不确定线性切换系统H_∞鲁棒控制[J].控制与决策,2005,20(6):650-655. 被引量：21
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共引文献16

同被引文献53

  • 1谭文,李志攀,张敏.基于最小二乘支持向量机的电力系统混沌振荡控制[J].湖南科技大学学报（自然科学版）,2010,25(3):59-62. 被引量：2
  • 2尹玉娟,赵军.具有脉冲作用的切换线性广义系统的稳定性[J].自动化学报,2007,33(4):446-448. 被引量：14
  • 3宋政一,聂宏,赵军.具有时变时滞的离散切换系统的鲁棒H_∞控制[J].东北大学学报（自然科学版）,2007,28(4):469-472. 被引量：9
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  • 6MONTAGNER V F,LEITE V J S,OLIVEIRA R C L F, PERES P L D. State feedback control of switched linear systems: An LMI approach [J]. Computational and Applied Mathematics, 2006,194: 192- 206.
  • 7HADDAD W M,BEMSTEIN D S. Controller design with regional pole constrains[J].IEEE Trans, Automat. Control , 1992,37(1): 54-69.
  • 8KARIMI H R,ZAPATEIRO M, LUO N. A linear matrix inequality approach to robust fault detection filter design of linear systems with mixed time-varying delays and nonlinear perturbations[J]. Journal of the Franklin Institute-Engineering and Applied Mathematics, 2010,347(6):957- 973.
  • 9LEITE V J S, MONTAGNER V F,PERES P L D. Robust pole location by parameter dependent state feedback control [J], Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, December 2002:1864- 1869.
  • 10RAMOS D C W,PERES P L D. An LMI approach to compute robust stability domains for uncertain linear systems [J]. IEEE Transactions on Automatic Control, 2002,47 (4) : 4073-4078.

引证文献5

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应用科学学报
2011年 第3期

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