Output regulation of vaidyanathan 3-D jerk chaotic system

Abstract

This paper investigates the problem of output regulation of the Vaidyanathan 3-D jerk chaotic system (2014). Explicitly, state feedback control laws to regulate the output of the Vaidyanathan jerk 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 Vaidyanathan jerk chaotic system has important applications in Electrical and Communication Engineering. Numerical simulations using MATLAB are shown to illustrate the phase portraits of the Vaidyanathan jerk chaotic system and the output regulation results for the Vaidyanathan jerk chaotic system.