Active controller design for the output regulation of Vaidyanathan hyperjerk system

Abstract

This paper investigates the active controller design for the output regulation of the Vaidyanathan 4-D hyperjerk hyperchaotic system (2015). Explicitly, nonlinear state feedback control laws have been derived to regulate the output of the 4-D Vaidyanathan hyperjerk hyperchaotic system so as to track the constant reference signals as well as to track periodic reference signals. The active control laws are derived using the Byrnes-Isidori regulator equations (1990). Numerical simulations using MATLAB are shown to illustrate the phase portraits of the Vaidyanathan hyperjerk hyperchaotic system and the output regulation results for the Vaidyanathan hyperjerk hyperchaotic system.