Combination of invariant sets as a tool for stabilization

Author

Fragopoulos, Dimosthenis ; De Wit, Carlos Canudas

Author_Institution

Lab. d´´Autom. de Grenoble, ENSIEG, Sain Martin d´´Heres, France

Volume

3

fYear

1997

fDate

10-12 Dec 1997

Firstpage

3075

Abstract

The stability and stabilization of a class of linear time-varying systems is studied. The class of systems considered is a linear time-varying combination of linear time-invariant systems. Two classes of time varying combinations are considered: a `persistently exciting´ one and a switched one. The concept of de-multiplexed controls is also introduced in relation to the switching case. Ideas from invariant sets and Lyapunov theory are used for the analysis while the results are given in terms of LMIs

Keywords

Lyapunov methods; asymptotic stability; linear systems; matrix algebra; observers; set theory; time-varying systems; LMIs; Lyapunov theory; closed loop systems; invariant sets; linear matrix inequalities; linear time-invariant systems; linear time-varying systems; persistent excitation; stabilization tools; switched functions; Bismuth; Control systems; Linear systems; Multiplexing; Observers; Sensor systems; Stability; State estimation; Time measurement; 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.1997.657922

Filename

657922