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

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

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.

Keywords: robust H_∞ control Lyapunov stability Jensen integral inequality linear matrix inequality

Received: 08 March 2012
Revised: 27 April 2012
Accepted manuscript online:

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

Fund: 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).

Corresponding Authors: Wang Jun-Wei
E-mail: wangjunweilj@yahoo.com.cn

Cite this article:

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 2012 Chin. Phys. B 21 110206

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

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