A new delay-dependent H∞ control criterion for a class of discrete-time systems with time-varying state delays and input delays-Reference-Cited by-同舟云学术

A new delay-dependent H∞ control criterion for a class of discrete-time systems with time-varying state delays and input delays

Published:2008-11-13 Issue:8 Volume:222 Page:863-874
ISSN:0959-6518
Container-title:Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering
language:en
Short-container-title:Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering

Author:

Wang Y¹,Zuo Y¹,Huang L²,Wang Z²

Affiliation:

1. College of Electric and Information Technology, Hunan University, Changsha, Hunan, People's Republic of China

2. College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, People's Republic of China

Abstract

This paper deals with delay-dependent H∞ control for discrete-time systems with time-varying state delays and input delays. A new finite-sum inequality is first established to derive a delay-dependent condition, under which the resulting closed-loop system via a state feedback is asymptotically stable with a prescribed H∞ noise attenuation level. Moreover, a modified iterative algorithm according to the previously published algorithm of Ghaoui and Oustry ( IEEE Trans. Autom. Control, 1997, 42(8), 1171–1176) involving convex optimization is proposed to obtain a suboptimal H∞ controller. Two numerical examples are presented which show the effectiveness of the proposed method.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Control and Systems Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1243/09596518JSCE600

Reference35 articles.

1. Robust H∞ control for uncertain discrete-time systems with time-varying delays via exponential output feedback controllers

2. A State Observer for a Class of Nonlinear Systems with Multiple Discrete and Distributed Time Delays

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