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Zbl 1154.34334
Yau, Her-Terng; Shieh, Cheng-Shion
Chaos synchronization using fuzzy logic controller. (English)
[J] Nonlinear Anal., Real World Appl. 9, No. 4, 1800-1810 (2008). ISSN 1468-1218

Summary: The design of a rule-based controller for a class of master-slave chaos synchronization is presented in this paper. In traditional fuzzy logic control (FLC) design, it takes a long time to obtain the membership functions and rule base by trial-and-error tuning. To cope with this problem, we directly construct the fuzzy rules subject to a common Lyapunov function such that the master-slave chaos systems satisfy stability in the Lyapunov sense. Unlike conventional approaches, the resulting control law has less maximum magnitude of the instantaneous control command and it can reduce the actuator saturation phenomenon in real physic system. Two examples of Duffing-Holmes system and Lorenz system are presented to illustrate the effectiveness of the proposed controller.

MSC 2000:: *34C28 Other types of "recurrent" solutions of ODE
37D45 Strange attractors, chaotic dynamics
93C42 Fuzzy control

Keywords: chaos synchronization; fuzzy logic control; Lyapunov function; Duffing-Holmes system; Lorenz system

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