Lyapunov techniques for stabilization of switched linear systems of conservation laws

Author

Lamare, Pierre-Olivier ; Girard, Antoine ; Prieur, Christophe

Author_Institution

Lab. Jean Kuntzmann, Univ. de Grenoble, Grenoble, France

fYear

2013

fDate

10-13 Dec. 2013

Firstpage

448

Lastpage

453

Abstract

In this paper, the exponential stability in L²-norm is investigated for a class of switched linear systems of conservation laws. The state equations and the boundary conditions are both subject to switching. We consider the problem of synthesizing stabilizing switching controllers. By means of Lyapunov techniques, three control strategies are developed based on steepest descent selection, possibly combined with a hysteresis and a low-pass filter. Some numerical examples are considered to illustrate our approach and to show the merits of the proposed strategies.

Keywords

Lyapunov methods; asymptotic stability; control system synthesis; gradient methods; hysteresis; linear systems; low-pass filters; time-varying systems; L²-norm; Lyapunov techniques; boundary conditions; conservation laws; exponential stability; hysteresis; low-pass filter; stabilizing switching controller synthesis; state equations; steepest descent selection; switched linear systems; Control theory; Hysteresis; Lyapunov methods; Stability; Switched systems; Switches; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on

Conference_Location

Firenze

ISSN

0743-1546

Print_ISBN

978-1-4673-5714-2

Type

conf

DOI

10.1109/CDC.2013.6759922

Filename

6759922