An Open-plus-closed-loop Control for chaotic Mathieu-Duffing Oscillator
- Resource Type
- Conference
- Authors
- Jianhe, Shen; Shuhui, Chen; Jianping, Cai
- Source
- 2007 Chinese Control Conference Control Conference, 2007. CCC 2007. Chinese. :492-496 Jul, 2007
- Subject
- Robotics and Control Systems
Components, Circuits, Devices and Systems
Chaos
Oscillators
Control systems
Open loop systems
Nonlinear control systems
Linear feedback control systems
Equations
Numerical simulation
Sun
Lyapunov method
Mathieu-Duffing oscillator
Chaos control
Open-plus-closed-loop control
- Language
- ISSN
- 1934-1768
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.