Chaos Control of a Four Order Chua´s Circuit

Author

Xian Liu ; Jinzhi Wang ; Lin Huang

Author_Institution

Dept. of Mech. & Eng. Sci., Pecking Univ., Beijing, China

fYear

2006

fDate

7-11 Aug. 2006

Firstpage

227

Lastpage

232

Abstract

In this paper, eight groups of chaotic attractors including hyperchaotic attractor of a four-order Chua´s circuit with a piecewise-linear nonlinearity are presented and a simple method to control chaos oscillation for this circuit is proposed by exploiting absolute stability theory in nonlinear systems. A linear feedback controller is derived based on linear matrix inequality (LMI). Numerical simulations are presented to illustrate the efficiency of the proposed method.

Keywords

Chua´s circuit; absolute stability; chaos; circuit oscillations; control nonlinearities; feedback; linear matrix inequalities; nonlinear control systems; piecewise linear techniques; absolute stability theory; chaos control; chaos oscillation; chaotic attractors; four order Chua circuit; hyperchaotic attractor; linear feedback controller; linear matrix inequality; nonlinear systems; piecewise-linear nonlinearity; Chaos; Chaotic communication; Circuit stability; Communication system control; Control systems; Laboratories; Linear matrix inequalities; Nonlinear control systems; Nonlinear systems; Symmetric matrices; Absolute Stability; Chaos Control; Four Order Chua´s Circuit; LMI;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2006. CCC 2006. Chinese

Conference_Location

Harbin

Print_ISBN

7-81077-802-1

Type

conf

DOI

10.1109/CHICC.2006.280958

Filename

4060506