A MATLAB Toolbox for Finding Stabilizing Controllers for a Class of Switched Systems

Author

Haris, Sallehuddin Mohamed ; Rogers, Eric

Author_Institution

Dept. of Mech. & Mater. Eng., Univ. Kebangsaan Malaysia, Bangi, Malaysia

fYear

2008

fDate

10-12 Dec. 2008

Firstpage

238

Lastpage

242

Abstract

This paper presents a MATLAB toolbox that computes stabilizing state feedback controllers for a class of switched systems where the system dynamics switch interchangeably between several subsystems. The subsystems considered here are restricted to second order linear systems. The toolbox finds controllers that stabilize the system under arbitrary switching, where this is ensured by first determining the existence of a common Lyapunov function. To find the common Lyapunov function, the toolbox makes use of an algorithm that is less computationally demanding compared to methods based on solving linear matrix inequalities.

Keywords

Lyapunov methods; linear matrix inequalities; linear systems; stability; state feedback; time-varying systems; MATLAB toolbox; arbitrary switching; common Lyapunov function; linear matrix inequality; second order linear system; stabilizing state feedback controller; subsystem; switched system; system dynamics; Bismuth; Control systems; Linear matrix inequalities; Lyapunov method; MATLAB; Stability; State feedback; Switched systems; Switches; Tin; arbitrary switching; common Lyapunov function; hybrid systems; quadratic stability; state feedback control;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence for Modelling Control & Automation, 2008 International Conference on

Conference_Location

Vienna

Print_ISBN

978-0-7695-3514-2

Type

conf

DOI

10.1109/CIMCA.2008.115

Filename

5172631