不确定脉冲多时滞系统的鲁棒H_∞控制

广东工业大学学报 ›› 2007, Vol. 24 ›› Issue (4): 25-29.

不确定脉冲多时滞系统的鲁棒H_∞控制

广东财经职业技术学院基础部；华南师范大学数学科学学院；华南理工大学自动化科学与工程学院广东广州510420；广东广州510631；广东广州510640；

出版日期:2007-11-08 发布日期:2007-11-08
基金资助:
国家自然科学基金重点资助项目(60334010);国家自然科学基金资助项目(60474047)

Robust H_∞ Control for Uncertain Impulsive Systems with Multi-delay

(1.Department of Primary Course,Guangdong College of Finance and Economics,Guangzhou China,510420;2.School of Mathematical Sciences,South China Normal University,Guangzhou China,510631;3.College of Automation Science & Engineering,South China University of Technology,Guangzhou China,510640)

Online:2007-11-08 Published:2007-11-08

摘要/Abstract

摘要： 采用Lyapunov泛函结合线性矩阵不等式(LMI)技术,研究了不确定线性脉冲多时滞系统的鲁棒H∞控制问题,建立了使得闭环系统鲁棒渐近稳定且同时满足H∞性能指标要求的充分性条件,给出了相应的无记忆状态反馈控制器的设计方法.最后给出的例子说明了结果的有效性. 更多还原

关键词: 脉冲时滞系统；不确定性； H∞鲁棒控制；线性矩阵不等式；

Abstract: This paper deals with a problem of robust H∞ control for uncertain impulsive systems with multi-delay.A H∞ controller is presented in terms of linear matrix inequalities such that the closed-loop system is asymptotically stable and satisfies the H∞ control conditions for all admissible uncertainties.A numerical example illustrates the theoretical results.

Key words: impulsive delay-differential systems； uncertainty； H∞ control； LMI；

杨戈锋；刘秀湘；胥布工； . 不确定脉冲多时滞系统的鲁棒H_∞控制[J]. 广东工业大学学报, 2007, 24(4): 25-29.

YANG Ge-feng1,LIU Xiu-xiang2,XU Bu-gong3. Robust H_∞ Control for Uncertain Impulsive Systems with Multi-delay[J]. Journal of Guangdong University of Technology, 2007, 24(4): 25-29.

参考文献

[1] 成新明,关治洪,刘新芝. 一类不确定系统的脉冲控制[J]. 电机与控制学报. 2002(04)

[2] 关治洪,廖俊锋,廖锐全. 不确定脉冲系统的鲁棒H_∞控制[J]. 控制理论与应用. 2002(04)

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[2] GUANG Z H,QIANTH,YUX H.Controllability and ob-servatility of linear time-varying impulsive systems. IEEE Tran Circ Systems(I):Fundamental Theory and Ap-plications . 2002

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