Advanced feedback control of the chaotic Duffing equation

Author

Jiang, Zhong-Ping

Author_Institution

Dept. of Electr. & Comput. Eng., Polytech. Univ. Brooklyn, NY, USA

Volume

49

Issue

2

fYear

2002

fDate

2/1/2002 12:00:00 AM

Firstpage

244

Lastpage

249

Abstract

Deals with the celebrated chaotic Duffing equation with external control force. It is shown that Lyapunov direct method in conjunction with recent developments in nonlinear control yields a promising way of engineering chaotic dynamics. Among the three types of feedback controllers introduced in the paper, we particularly emphasize the value of linear feedback strategy in controlling chaos. For the forced Duffing equation, it is shown that linear feedback control laws are inherently robust to (even large) sensor errors

Keywords

Lyapunov methods; adaptive control; chaos; nonlinear control systems; stability; state feedback; Lyapunov direct method; adaptive control; advanced feedback control; chaotic Duffing equation; chaotic dynamics; external control force; feedback controllers; forced equation; global stability; linear feedback strategy; nonlinear control; sensor errors; Adaptive control; Chaos; Chaotic communication; Control systems; Convergence; Feedback control; Force control; Linear feedback control systems; Nonlinear equations; Stability;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.983872

Filename

983872