Robust dissipative control for a class of uncertain time-delay systems

Author

Li, Zhihu ; Shao, Huihe ; Wang, Jingcheng

Author_Institution

Dept. of Autom., Jiao Tong Univ., Shanghai, China

Volume

5

fYear

2001

fDate

2001

Firstpage

4004

Abstract

This paper focuses on a class of linear time-delay systems with dissipative uncertainty. We are concerned with the design of dissipative static state feedback controllers such that the closed-loop system is robustly asymptotically stable and, strictly (Q, S, R)-dissipative. Sufficient conditions for the existence of the quadratic dissipative state feedback controllers are obtained by using a linear matrix inequality (LMI) approach. It is shown that the solvability of dissipative controller design problem is implied by the feasibility of LMI. The main results of this paper unify the existing results on H^∞ control and passive control

Keywords

H^∞ control; asymptotic stability; closed loop systems; control system synthesis; controllability; delay systems; linear systems; robust control; state feedback; uncertain systems; H^∞ control; LMI; closed-loop system; controllability of dissipative; dissipative controller design; dissipative static state feedback controller design; linear matrix inequality; linear time-delay systems; passive control; quadratic dissipative state feedback controllers; robust asymptotic stability; robust dissipative control; strict (Q, S, R) dissipativity; uncertain time-delay systems; Automatic control; Automation; Circuits; Control systems; Linear feedback control systems; Linear matrix inequalities; Robust control; State feedback; Symmetric matrices; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2001. Proceedings of the 2001

Conference_Location

Arlington, VA

ISSN

0743-1619

Print_ISBN

0-7803-6495-3

Type

conf

DOI

10.1109/ACC.2001.946309

Filename

946309