Open-Plus-Closed-Loop Control for Chaotic Mathieu-Duffing Oscillator

SHEN Jian-he; CHEN Shu-hui

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(1): 21-29

SHEN Jian-he, CHEN Shu-hui. Open-Plus-Closed-Loop Control for Chaotic Mathieu-Duffing Oscillator[J]. Applied Mathematics and Mechanics, 2009, 30(1): 21-29.

Citation:

SHEN Jian-he, CHEN Shu-hui. Open-Plus-Closed-Loop Control for Chaotic Mathieu-Duffing Oscillator[J]. Applied Mathematics and Mechanics, 2009, 30(1): 21-29.

Citation:

SHEN Jian-he, CHEN Shu-hui. Open-Plus-Closed-Loop Control for Chaotic Mathieu-Duffing Oscillator[J]. Applied Mathematics and Mechanics, 2009, 30(1): 21-29.

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Open-Plus-Closed-Loop Control for Chaotic Mathieu-Duffing Oscillator

SHEN Jian-he^1,2,
CHEN Shu-hui¹

1.
Department of Applied Mechanics and Engineering, Sun Yat-sen University, Guangzhou 510275, P. R. China;

Received Date: 2008-07-19
Rev Recd Date: 2008-11-17
Publish Date: 2009-01-15

Abstract

Abstract

Utilizing the idea of the open-plus-closed-loop (OPCL) control, a controller which is composed of an external excitation and linear feedback was designed to entrain the chaotic trajectories of Mathieu-Duffing oscillator to its periodic and higher periodic orbits. The global basin of entrainment of the open-plus-closed-loop control was proved by combining Liapunov stability theory with a comparative theorem of initial value problems for second-order ordinary differential equations. Numerical simulations were performed to demonstrate the theoretical results.
- Mathieu-Duffing oscillator,
- chaos control,
- OPCL control,
- global entrainment

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References(18)

References

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