Optimisation approach to robust eigenstructure assignment

Author

Konstantopoulos, I.K. ; Antsaklis, P.J.

Author_Institution

Dept. of Eng., Leicester Univ., UK

Volume

146

Issue

6

fYear

1999

fDate

11/1/1999 12:00:00 AM

Firstpage

561

Lastpage

565

Abstract

A systematic optimisation approach to robust eigenstructure assignment for control systems with output feedback is presented. The proposed scheme assigns the maximum allowable number of closed-loop eigenvalues to desired locations, and determines the corresponding closed-loop eigenvectors as close to desired ones as possible. Additionally, the stability of the remaining closed-loop eigenvalues is guaranteed by the satisfaction of an appropriate Lyapunov equation. The overall design is robust with respect to time-varying parameter perturbations. The approach is applied to a literature example, where it is shown to capture the shape of the desired transient response

Keywords

Lyapunov methods; closed loop systems; eigenstructure assignment; feedback; linear systems; multivariable systems; optimisation; robust control; time-varying systems; transient response; Lyapunov equation; closed-loop systems; eigenstructure assignment; eigenvalues; eigenvectors; linear systems; multivariable systems; optimisation; output feedback; robust control; stability; time-varying systems; transient response;

fLanguage

English

Journal_Title

Control Theory and Applications, IEE Proceedings -

Publisher

iet

ISSN

1350-2379

Type

jour

DOI

10.1049/ip-cta:19990632

Filename

818082