Robust state feedback control for linear systems with time-varying evolution operators in Hilbert spaces

Author

Poznyak, A.S. ; Rodríguez, Alejandro

Author_Institution

Seccion de Control Autom., CINVESTAV-IPN, Mexico City, Mexico

Volume

3

fYear

1995

fDate

13-15 Dec 1995

Firstpage

2641

Abstract

The problem of robust control for a class of infinite dimensional systems under mixed uncertainties is addressed, and the Lyapunov function approach is used for proving that there is a controller that stabilizes this class of systems under the presence of internal and external perturbations and guarantees some tolerance level for the joint cost functional. A comment is added to the Riccati operator equation´s solution for this problem

Keywords

Hilbert spaces; Lyapunov methods; Riccati equations; multidimensional systems; robust control; state feedback; time-varying systems; uncertain systems; Hilbert spaces; Lyapunov function; Riccati operator equation; external perturbations; infinite-dimensional systems; internal perturbations; joint cost functional tolerance level; linear systems; mixed uncertainties; robust state feedback control; time-varying evolution operators; Control systems; Cost function; Linear feedback control systems; Linear systems; Lyapunov method; Riccati equations; Robust control; State feedback; Time varying systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1995., Proceedings of the 34th IEEE Conference on

Conference_Location

New Orleans, LA

ISSN

0191-2216

Print_ISBN

0-7803-2685-7

Type

conf

DOI

10.1109/CDC.1995.478510

Filename

478510