Simultaneous stabilization of LTI systems by means of nonlinear time-varying feedback

Author

Ho-Mock-Qai, Bertina

Author_Institution

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

Volume

5

fYear

1997

fDate

4-6 Jun 1997

Firstpage

3145

Abstract

The simultaneous stabilization of a countable family of control systems consists in finding a feedback law that asymptotically stabilizes all the systems in the family. In this paper, we introduce a new method that enables us to prove that given any finite family of LTI (linear time-invariant) systems, there exists a continuous nonlinear time-varying feedback law which simultaneously globally exponentially stabilizes this family. We also derive sufficient conditions for the simultaneous asymptotic stabilizability of countably infinite families of LTI systems. In both cases we provide simple design procedures as well as explicit feedback laws

Keywords

asymptotic stability; control system synthesis; feedback; nonlinear control systems; stability criteria; time-varying systems; LTI systems; asymptotic stabilizability; continuous nonlinear time-varying feedback law; control design; global exponential stabilization; linear time-invariant systems; nonlinear time-varying feedback; simultaneous stabilization; Control systems; Ear; Eigenvalues and eigenfunctions; Feedback; Navigation; Nonlinear control systems; Open loop systems; Sampling methods; Sufficient conditions; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.612039

Filename

612039