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

Lam, H K and Ling, Bingo Wing-Kuen and Iu, H H C and Ling, S H (2008) Synchronization of chaotic systems using time-delayed fuzzy state-feedback controller. IEEE Transactions on Circuits and Systems I: Regular Papers, 55 (3). pp. 893-903. ISSN 1549-8328

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Official 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, Takagi-Sugeno (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. Simulation examples are presented to illustrate the merits of the proposed approach.

Item Type:Article
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, Takagi-Sugeno (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. Simulation examples are presented to illustrate the merits of the proposed approach.
Keywords:chaotic synchronization, fuzzy control, stability, T-S Fuzzy Model
Subjects:H Engineering > H660 Control Systems
Divisions:College of Science > School of Engineering
ID Code:2703
Deposited By: Rosaline Smith
Deposited On:24 Jun 2010 19:42
Last Modified:13 Mar 2013 08:39

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