New Results on the Output Regulation of the Modified Arneodo Chaotic System by State Feedback Control

摘要

This paper investigates the problem of output regulation of the modified Arneodo chaotic system , which is one of the classical chaotic systems proposed by A. Arneodo, P. Coullet and C. Tresser (1981). Explicitly, new state feedback control laws regulating the output of the modified Arneodo chaotic system have been derived so as to regulate the output of the modified Arneodo chaotic system have been derived so as to track the constant reference signals as well as periodic reference signals. The control laws proposed in this paper have been derived using the regulator equations of C.I. Byrnes and A. Isidori (1990), who solved the problem of output regulation of nonlinear control systems involving neutrally stable exosystem dynamics. The output regulation of the modified Arneodo chaotic system has important applications in Electronics and Communication Engineering. Numerical simulations are shown to illustrate the effectiveness of the control schemes proposed in this paper for the output regulation of the modified Arneodo chaotic system.