A new stepping design method and its application in chaotic systems

Abstract

This paper proposes a new stepping design method for a class of nonlinear systems. Based on this technique, system design is simplified greatly because many coupled nonlinear items can be considered as zero items. This method can be applied to a general class of nonlinear systems. Significantly, we have demonstrated this technique in some chaotic systems and have achieved good results. Simulation results for the Genesio chaotic system are provided to illustrate the effectiveness of the proposed scheme.

Adaptive Control of Accumulative Error for Nonlinear Chaotic Systems

“…Since Ott et al [1] firstly proposed the method of chaos control in 1990, chaos control has attracted great attention and lots of successful experiments have been reported [2−17] , such as feedback control [5,6] , impulsive control [7] , backstepping method [8] , adaptive control [9−14] , sliding mode control [15,16] , fuzzy control [17] , finite-time control and so on. However, most methods aim at a kind of chaotic system and they are complex both in design and implementation.…”

An Approach of Tracking Control for Chaotic Systems

“…Since Ott et al firstly proposed the method of chaos control in 1990 [1], chaos control has attracted great attention in recent years and lots of successful methods have been reported , such as feedback control [7,8], impulsive control [9,10], backstepping method [11], adaptive control [12][13][14][15], adaptive fuzzy backstepping technique [16], adaptive sliding mode control [17,18], neural network technique [19], and H ∞ synchronization [20][21][22].…”

Tensor Product Model Transformation Based Control and Synchronization of a Class of Fractional‐Order Chaotic Systems

“…Nowadays, whereas chaos control and synchronization of integer‐order chaotic systems have been extensively studied , chaos control and synchronization of their fractional‐order counterparts have been investigated only recently. It is still considered a challenging research topic.…”