Output regulation of discrete-time piecewise-linear systems with application to controlling chaos

Author

Feng, Gang ; Zhang, Tiejun

Author_Institution

Dept. of Dept. of Manuf. Eng. & Eng. Manage., City Univ. of Hong Kong, China

Volume

53

Issue

4

fYear

2006

fDate

4/1/2006 12:00:00 AM

Firstpage

249

Lastpage

253

Abstract

This paper presents an approach to output regulation of discrete-time piecewise-linear systems. A sufficient condition to guarantee output regulation of such systems via state feedback has been obtained based on piecewise-quadratic Lyapunov functions. It is shown that the output regulation controller can be obtained by solving a set of linear-matrix inequalities. Application to controlling chaos is also given to illustrate the performance of the proposed approach.

Keywords

Chua´s circuit; Lyapunov matrix equations; chaos; discrete time systems; linear matrix inequalities; nonlinear control systems; piecewise linear techniques; chaos; controller design; discrete time system; linear matrix inequalities; output regulation controller; piecewise linear system; piecewise-quadratic Lyapunov functions; Chaos; Circuits; Control systems; Linear systems; Lyapunov method; Nonlinear systems; Piecewise linear techniques; Stability analysis; State feedback; Sufficient conditions; Controller design; discrete-time systems; linear-matrix inequality (LMI); output regulation; piecewise-linear systems;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2005.862178

Filename

1618890