An analysis and design method for uncertain variable structure systems with bounded controllers

Author

Choi, Han Ho

Author_Institution

Dept. of Electr. Eng., Dongguk Univ., Seoul, South Korea

Volume

49

Issue

4

fYear

2004

fDate

4/1/2004 12:00:00 AM

Firstpage

602

Lastpage

607

Abstract

We present a method for estimating the asymptotic stability region(ASR) of uncertain variable structure systems with bounded switching feedback controllers. Using linear matrix inequalities(LMIs) we estimate the ASR and we show the exponential stability of the closed-loop control system in the estimated ASR. We also give a simple LMI-based method for designing switching surfaces that will make the estimated ASR big. Finally, we give numerical examples in order to show the effectiveness of our method.

Keywords

asymptotic stability; closed loop systems; feedback; linear matrix inequalities; optimisation; uncertain systems; variable structure systems; asymptotic stability region; bounded switching feedback controllers; closed loop control system; exponential stability; linear matrix inequalities; optimization problem; switching surfaces; uncertain variable structure systems; Adaptive control; Asymptotic stability; Automatic speech recognition; Control systems; Design methodology; Feedback control; Linear matrix inequalities; Lyapunov method; Uncertain systems; Variable structure systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2004.825630

Filename

1284726