Synchronization of chaotic systems using time-delayed fuzzy state-feedback controller

Ling, Wing-Kuen and Lam, Hak-Keung and Iu, Herbert and Ling, Steve (2007) Synchronization of chaotic systems using time-delayed fuzzy state-feedback controller. In: Shanghai International Symposium on Nonlinear Science and Application, June 2007, Shanghai.

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Full text URL: http://dx.doi.org/10.1109/TCSI.2008.916430

Abstract

This paper presents the fuzzy-model-based control approach to synchronize two chaotic systems subject to parameter uncertainties. A fuzzy state-feedback controller using the system state of response chaotic system and the time-delayed system state of drive chaotic system is employed to realize the synchronization. The time delay which complicates the system dynamics makes the analysis difficult. To investigate the system stability and facilitate the design of fuzzy controller, T-S fuzzy models are employed to represent the system dynamics of the chaotic systems. Furthermore, the membership grades of the T-S fuzzy models become uncertain due to the existence of parameter uncertainties which further complicates the system analysis. To ease the stability analysis and produce less conservative analysis result, the membership functions of both T-S fuzzy models and fuzzy controller are considered. Stability conditions are derived using Lyapunov-based approach to aid the design of fuzzy state-feedback controller to synchronize the chaotic systems. A simulation example is presented to illustrate the merits of the proposed approach.

Item Type:Conference or Workshop Item (Paper)
Additional Information:This paper presents the fuzzy-model-based control approach to synchronize two chaotic systems subject to parameter uncertainties. A fuzzy state-feedback controller using the system state of response chaotic system and the time-delayed system state of drive chaotic system is employed to realize the synchronization. The time delay which complicates the system dynamics makes the analysis difficult. To investigate the system stability and facilitate the design of fuzzy controller, T-S fuzzy models are employed to represent the system dynamics of the chaotic systems. Furthermore, the membership grades of the T-S fuzzy models become uncertain due to the existence of parameter uncertainties which further complicates the system analysis. To ease the stability analysis and produce less conservative analysis result, the membership functions of both T-S fuzzy models and fuzzy controller are considered. Stability conditions are derived using Lyapunov-based approach to aid the design of fuzzy state-feedback controller to synchronize the chaotic systems. A simulation example is presented to illustrate the merits of the proposed approach.
Keywords:Chaos synchronization, fuzzy time delay system, state feedback control
Subjects:H Engineering > H660 Control Systems
H Engineering > H310 Dynamics
Divisions:College of Science > School of Engineering
ID Code:3101
Deposited By:INVALID USER
Deposited On:05 Aug 2010 21:09
Last Modified:13 Mar 2013 08:43

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