H∞-output feedback controller design for linear systems with time-varying delayed state

Author

Jeung, Eun Tae ; Kim, Jong Hae ; Park, Hong Bae

Author_Institution

Dept. of Control & Instrum. Eng., Changwon Nat. Univ., Kyungnam, South Korea

Volume

43

Issue

7

fYear

1998

fDate

7/1/1998 12:00:00 AM

Firstpage

971

Lastpage

974

Abstract

This paper considers the H∞-controller design problem for linear systems with time-varying delays in states. The authors obtain sufficient conditions for the existence of H∞ controllers in terms of three linear matrix inequalities (LMIs). These sufficient conditions are dependent on the maximum value of the time derivative of time-varying delay. Furthermore, they briefly explain how to construct such controllers from the positive-definite solutions of their LMIs and give an example

Keywords

H^∞ control; Lyapunov methods; asymptotic stability; control system synthesis; delay systems; feedback; linear systems; matrix algebra; H∞-control; Lyapunov function; asymptotic stability; delay systems; linear matrix inequalities; linear systems; output feedback; sufficient conditions; time-varying delay; Asymptotic stability; Control systems; Delay systems; Differential equations; Friction; Linear feedback control systems; Linear systems; Nonlinear systems; Output feedback; Time varying systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.701103

Filename

701103