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Feng, Gang; Chen, Guanrong

Adaptive control of discrete-time chaotic systems: a fuzzy control approach. (English) Zbl 1061.93501

Chaos Solitons Fractals 23, No. 2, 459-467 (2005).
Summary: This paper discusses adaptive control of a class of discrete-time chaotic systems from a fuzzy control approach. Using the T-S model of discrete-time chaotic systems, an adaptive control algorithm is developed based on some conventional adaptive control techniques. The resulting adaptively controlled chaotic system is shown to be globally stable, and its robustness is discussed. A simulation example of the chaotic Henon map control is finally presented, to illustrate an application and the performance of the proposed control algorithm.

Cited in 53 Documents

MSC:

93C10 Nonlinear systems in control theory
93C40 Adaptive control/observation systems
93C55 Discrete-time control/observation systems
93C42 Fuzzy control/observation systems
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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\textit{G. Feng} and \textit{G. Chen}, Chaos Solitons Fractals 23, No. 2, 459--467 (2005; Zbl 1061.93501)
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