Robust stabilization of multi-parameter families of systems

Author

Ho-Mock-Qai, Bertina

Author_Institution

Ecole Nat. de l´´Aviation Civile, Toulose, France

Volume

3

fYear

1999

fDate

1999

Firstpage

2322

Abstract

We show that given any family of asymptotically stabilizable LTI systems depending continuously on a parameter that lies in a closed box of R^p, there exists a time-varying state feedback law v(t,x) (resp. a time-invariant feedback law v(x)) which robustly globally exponentially stabilizes (resp. which robustly stabilizes, not asymptotically) the family. Further, if these systems are obtained by linearizing some nonlinear systems, then v(t,x) locally exponentially stabilizes these nonlinear systems. Finally, v(t,x) globally exponentially stabilizes any time-varying system which switches “slowly enough” between the given LTI systems

Keywords

asymptotic stability; linearisation techniques; multidimensional systems; robust control; state feedback; time-varying systems; asymptotically stabilizable LTI systems; closed box; linear time invariant systems; multi-parameter families of systems; nonlinear systems; robust stabilization; time-invariant feedback law; time-varying state feedback law; Adaptive control; Control systems; Linear systems; Nonlinear systems; Programmable control; Robust control; Robustness; State feedback; Switches; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.831269

Filename

831269