Chaos Control of Uncertain Chaotic Systems via Backstepping Approach

Abstract

This paper presents a robust control scheme for a class of uncertain chaotic systems. The proposed feedback controller is composed by an uncertainty estimator and a backstepping feedback, so its implementation is quite simple and can be made on the basis of the measured signal. The developed control scheme allows chaos suppression despite uncertainties in the model as well as unmeasured disturbances. The Chua and Φ6-Duffing are used to illustrate the performance of the proposed controller.