Design of performance robustness for uncertain linear systems with state and control delays

Author

Luo, J.S. ; van den Bosch, P.P.J. ; Weiland, S. ; Goldenberge, A.

Author_Institution

Bombardier-DeHaviland, Canada

Volume

43

Issue

11

fYear

1998

fDate

11/1/1998 12:00:00 AM

Firstpage

1593

Lastpage

1596

Abstract

The linear systems considered in this paper are subject to uncertain perturbations of norm-bounded time-varying parameters and multiple time delays in system state and control. The time delays are uncertain, independent of each other, and allowed to be time-varying. The integral quadratic cost criterion is employed to measure system performance. Using solutions of Lyapunov and Riccati equations, a linear state feedback control law is proposed to stabilize the perturbed system and to guarantee an upper bound of system performance, which is applicable to arbitrary time delays

Keywords

Lyapunov methods; Riccati equations; control system synthesis; delays; feedback; linear systems; robust control; time-varying systems; uncertain systems; Lyapunov equations; Riccati equations; control delays; integral quadratic cost criterion; linear state feedback control law; multiple time delays; norm-bounded time-varying parameters; performance robustness design; performance upper bound; perturbed system; state delays; uncertain independent time-varying delays; uncertain linear systems; Control systems; Costs; Delay effects; Integral equations; Linear systems; Riccati equations; Robustness; State feedback; System performance; Time varying systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.728876

Filename

728876