Robust H∞ control for uncertain systems with heterogeneous time-varying delays via static output feedback

doi:10.1088/1674-1056/21/11/110206

中国物理B ›› 2012, Vol. 21 ›› Issue (11): 110206-110206.doi: 10.1088/1674-1056/21/11/110206

Robust H_∞ control for uncertain systems with heterogeneous time-varying delays via static output feedback

王军威^a, 曾才斌^b

a School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510006, China;
b School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China

收稿日期:2012-03-08 修回日期:2012-04-27 出版日期:2012-10-01 发布日期:2012-10-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 61104138), the Guangdong Natural Science Foundation, China (Grant No. S2011040001704), and the Foundation for Distinguished Young Talents in Higher Education of Guangdong, China (Grant No. LYM10074).

Robust H_∞ control for uncertain systems with heterogeneous time-varying delays via static output feedback

Wang Jun-Wei (王军威)^a, Zeng Cai-Bin (曾才斌 )^b

a School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510006, China;
b School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China

Received:2012-03-08 Revised:2012-04-27 Online:2012-10-01 Published:2012-10-01
Contact: Wang Jun-Wei E-mail:wangjunweilj@yahoo.com.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 61104138), the Guangdong Natural Science Foundation, China (Grant No. S2011040001704), and the Foundation for Distinguished Young Talents in Higher Education of Guangdong, China (Grant No. LYM10074).

摘要/Abstract

摘要： This paper is concerned with the problem of robust H_∞ control for a novel class of uncertain linear continuous-time systems with heterogeneous time-varying state/input delays and norm-bounded parameter uncertainties. The objective is to design a static output feedback controller such that the closed-loop system is asymptotically stable while satisfying a prescribed H_∞ performance level for all admissible uncertainties. By constructing an appropriate Lyapunov-Krasvskii functional, a delay-dependent stability criterion of the closed-loop system is presented with the help of the Jensen integral inequality. From the derived criterion, the solutions to the problem are formulated in terms of linear matrix inequalities and hence are tractable numerically. A simulation example is given to illustrate the effectiveness of the proposed design method.

关键词: robust H_∞ control, Lyapunov stability, Jensen integral inequality, linear matrix inequality

Abstract: This paper is concerned with the problem of robust H_∞ control for a novel class of uncertain linear continuous-time systems with heterogeneous time-varying state/input delays and norm-bounded parameter uncertainties. The objective is to design a static output feedback controller such that the closed-loop system is asymptotically stable while satisfying a prescribed H_∞ performance level for all admissible uncertainties. By constructing an appropriate Lyapunov—Krasovskii functional, a delay-dependent stability criterion of the closed-loop system is presented with the help of the Jensen integral inequality. From the derived criterion, the solutions to the problem are formulated in terms of linear matrix inequalities and hence are tractable numerically. A simulation example is given to illustrate the effectiveness of the proposed design method.

Key words: robust H_∞ control, Lyapunov stability, Jensen integral inequality, linear matrix inequality

中图分类号: (Control theory)

02.30.Yy

02.30.Ks (Delay and functional equations) 87.19.lr (Control theory and feedback)

王军威, 曾才斌 . Robust H_∞ control for uncertain systems with heterogeneous time-varying delays via static output feedback[J]. 中国物理B, 2012, 21(11): 110206-110206.

Wang Jun-Wei (王军威), Zeng Cai-Bin (曾才斌 ). Robust H_∞ control for uncertain systems with heterogeneous time-varying delays via static output feedback[J]. Chin. Phys. B, 2012, 21(11): 110206-110206.

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Robust H_∞ control for uncertain systems with heterogeneous time-varying delays via static output feedback

Robust H_∞ control for uncertain systems with heterogeneous time-varying delays via static output feedback

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