Robust exponential stabilization of parameterized families of LTI systems by means of nonlinear time-varying state feedback

Author

Ho-Mock-Qai, Bertha

Author_Institution

Centre d´´Etude de la Navigation Aerienne, Toulouse, France

Volume

3

fYear

1997

fDate

10-12 Dec 1997

Firstpage

2633

Abstract

We consider parameterized families of controlled LTI (linear time invariant) systems which depend on a real parameter that lies in a closed interval of R. Given any such family, we show that, if each system of the family is asymptotically stabilizable by means of LTI state feedback, then there exists a continuous time-varying state feedback law v(t, x) which globally exponentially stabilizes all the systems in the family

Keywords

asymptotic stability; linear systems; nonlinear control systems; robust control; state feedback; time-varying systems; LTI systems; continuous time-varying state feedback law; globally exponential stability; linear time invariant systems; nonlinear time-varying state feedback; parameterized families; robust exponential stabilization; Control systems; Eigenvalues and eigenfunctions; Linear feedback control systems; Linear systems; Navigation; Nonlinear control systems; Robust control; Robustness; State feedback; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.657777

Filename

657777