Output regulation of the unified chaotic system

Abstract

This paper investigates the problem of output regulation of the unified chaotic system (Lu, Chen, Cheng and Celikovsky, 2002). Explicitly, state feedback control laws to regulate the output of the unified chaotic system have been derived so as to track the constant 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. Numerical simulations are shown to illustrate the results. © 2011 Springer-Verlag.