Generating chaos in continuous-time systems using nonlinear feedback

Author

Zhong, G.Q. ; Kwok, H.S. ; Man, K.F. ; Tang, Wallace K S

Author_Institution

Dept. of Electron. Eng., City Univ. of Hong Kong, Kowloon, China

Volume

3

fYear

2002

fDate

5-8 Nov. 2002

Firstpage

1772

Abstract

An approach of nonlinear feedback control for generating chaos in third-order linear autonomous continuous-time systems is proposed. With a simple nonlinear feedback control, chaotic dynamics can be generated in the controlled systems. The nonlinearity of the controller can be the forms of a piecewise-linear function, a cubic function, and a piecewise quadratic function, respectively. The circuitry implementation of the controlled systems, and the chaotic attractors observed by simulation and experimental measurement are demonstrated.

Keywords

chaos; continuous time systems; feedback; nonlinear control systems; piecewise linear techniques; chaos generation; chaotic attractors; chaotic dynamics; circuitry implementation; continuous-time systems; controller nonlinearity; cubic function; nonlinear feedback; nonlinear feedback control; piecewise quadratic function; piecewise-linear function; third-order linear autonomous continuous-time systems; Adaptive control; Biological control systems; Chaos; Circuits; Computer simulation; Control systems; Feedback control; Nonlinear control systems; Nonlinear equations; Piecewise linear techniques;

fLanguage

English

Publisher

ieee

Conference_Titel

IECON 02 [Industrial Electronics Society, IEEE 2002 28th Annual Conference of the]

Print_ISBN

0-7803-7474-6

Type

conf

DOI

10.1109/IECON.2002.1185239

Filename

1185239