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Design of an Adaptive Fuzzy Controller and Its Application to Conrolling Uncertain Chaotic Systems

Chandg Woo Park/Chang-Hoon Lee/Jung Hwan Kim/Seungho Kim/MignomPark
Transaction on Control Automation, and Systems Engineering, vol. 3, no. 2, pp.95-105, 2001

Abstract : In this paper, in order to control uncertain chaotic system, an adaptive fuzzy control(AFC) scheme is developed for the multi-input/multi-output plants represented by the Takagi-Sugeno(T-S) fuzzy models. The proposed AFC scheme provides robust tracking of a desired signal for the T-S fuzzy systems with uncertain parameters. The developed control law and adaptive law guarantee the boundedness of all signals in the closed-loop system. In addition, the chaotic state tracks the state of the stable reference model(SRM) asymptotically with time for any bounded reference input signal. The suggested AFC design technique is applied for the control of an uncertain Lorenz system based on T-S fuzzy model such as stabilization, synchronization and chaotic model following control(CMFC).

Keyword : Chaos, fuzzy control, Takagi-Sugeno fuzzy model, nonlinear system

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