Abstract

This paper investigates the control of chaotic systems in the presence of unknown system parameters and external disturbance. We first investigate the control of a class of special chaotic systems and then discuss the control of general chaotic systems. Some robust criteria are proposed based on adaptive control scheme. By introducing proper auxiliary variables, the stability of the closed-loop system is proved using Lyapunov stability theory. As an example to illustrate the application of the proposed method, the control of the R\(\ddot{o}\)ssler chaotic system is also investigated via a single input. Some numerical simulations are given to demonstrate the robustness and efficiency of the proposed approach.

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