Estimation of the asymptotic stability region of uncertain systems with bounded sliding mode controllers

Author

Ho Choi, Han ; Jin Chung, Myung

Author_Institution

Dept. of Electr. Eng., Korea Adv. Inst. of Sci. & Technol., Taejon, South Korea

Volume

39

Issue

11

fYear

1994

fDate

11/1/1994 12:00:00 AM

Firstpage

2275

Lastpage

2278

Abstract

In this note, the problem of estimating the asymptotic stability region (ASR) of uncertain systems with bounded sliding mode controllers is considered. To simplify the problem the authors use a state transformation and choose a suitable Lyapunov function for the transformed control system. Using the Lyapunov function the authors estimate the ASR and show the exponential stability of the closed-loop control system in the region. Also, by an example the authors show that for a certain class of uncertain dynamical systems with bounded sliding mode controllers their method gives a more improved estimate of the ASR

Keywords

Lyapunov methods; closed loop systems; stability; variable structure systems; Lyapunov function; asymptotic stability region; bounded sliding mode controllers; closed-loop control system; dynamical systems; exponential stability; state transformation; uncertain systems; Asymptotic stability; Automatic speech recognition; Control systems; Feedback control; Lyapunov method; Nonlinear control systems; Nonlinear dynamical systems; Sliding mode control; Uncertain systems; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.333775

Filename

333775