Nonlinear recursive chaos control

Abstract

A nonlinear recursive chaos and bifurcation control approach, based on a backstepping technique, is presented to control bifurcation and chaos in engineering applications. Modern nonlinear system theory in bifurcation and chaos is used to study the dynamics of a 3rd order nonlinear system. The study considers the system when experiencing bifurcation and chaos state. In order to control it, a recursive backstepping controller is designed. We show how such a controller is effective in controlling the unstable bifurcation region.