2011 | OriginalPaper | Buchkapitel
Output Regulation of Arneodo-Coullet Chaotic System
verfasst von : Sundarapandian Vaidyanathan
Erschienen in: Advanced Computing
Verlag: Springer Berlin Heidelberg
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This paper investigates the problem of output regulation of the Arneodo-Coullet chaotic system, which is one of the paradigms of the chaotic systems proposed by A. Arneodo, P. Coullet and C. Tresser (1981). Explicitly, state feedback control laws to regulate the output of the Arneodo-Coullet chaotic system have been derived so as to track the constant reference signals as well as to track periodic reference signals. The control laws are derived using the regulator equations of C.I. Byrnes and A. Isidori (1990), who solved the problem of output regulation of nonlinear systems involving neutrally stable exosystem dynamics. The output regulation of the Coullet chaotic system has important applications in Electrical and Communication Engineering. Numerical simulations are shown to verify the results.