An Open-plus-closed-loop Control for chaotic Mathieu-Duffing Oscillator

Author

Jianhe, Shen ; Shuhui, Chen ; Jianping, Cai

Author_Institution

Sun Yat-sen Univ., Guangzhou

fYear

2007

Firstpage

492

Lastpage

496

Abstract

Utilizing the idea of the open-plus-closed-loop control, a simple continuous controller composed of periodic external excitation and linear feedback is designed to entrain the chaotic trajectory of Mathieu-Duffing oscillator to converge to its inherent periodic and multi-periodic trajectories. By means of the Lyapunov stability theory, the global basin of entrainment of the open-plus-closed-loop control is established. Numerical simulations are presented to demonstrate the application of the theoretical results.

Keywords

Lyapunov methods; chaos; closed loop systems; continuous systems; feedback; nonlinear control systems; open loop systems; stability; time-varying systems; Lyapunov stability theory; chaotic Mathieu-Duffing oscillator; chaotic trajectory; continuous controller; linear feedback; multiperiodic trajectory; open-plus-closed-loop control; periodic external excitation; Chaos; Control systems; Equations; Linear feedback control systems; Lyapunov method; Nonlinear control systems; Numerical simulation; Open loop systems; Oscillators; Sun; Chaos control; Mathieu-Duffing oscillator; Open-plus-closed-loop control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2007. CCC 2007. Chinese

Conference_Location

Hunan

Print_ISBN

978-7-81124-055-9

Electronic_ISBN

978-7-900719-22-5

Type

conf

DOI

10.1109/CHICC.2006.4347534

Filename

4347534