Finite-Time Stabilization of Linear Time-Varying Continuous Systems

Author

Garcia, Germain ; Tarbouriech, Sophie ; Bernussou, Jacques

Author_Institution

LAAS-CNRS, Univ. of Toulouse Toulouse, Toulouse

Volume

54

Issue

2

fYear

2009

Firstpage

364

Lastpage

369

Abstract

In this technical note, the problem of finite time stabilization of linear time-varying continuous systems is considered. Necessary and sufficient conditions, based upon the solution to some Lyapunov differential matrix equations, are proposed for particular cases of interest. From these conditions, the design of time-varying state feedback controller guaranteeing the finite time closed-loop stability is presented. Numerical experiments illustrate the potentialities of the approach.

Keywords

Lyapunov matrix equations; closed loop systems; continuous time systems; differential equations; linear systems; stability; state feedback; time-varying systems; Lyapunov differential matrix equations; finite time closed-loop stability; finite-time stabilization; linear time-varying continuous systems; time-varying state feedback controller; Continuous time systems; Control design; Control systems; Differential equations; Linear matrix inequalities; Lyapunov method; Stability; State feedback; Sufficient conditions; Time varying systems; Finite-time stability and stabilization; Lyapunov differential equations; Lyapunov stability; linear time-varying systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2008.2008325

Filename

4782009