The adaptive control of unknown chaotic systems with external disturbance via a single input

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• 作者：Runzi Luo (1)
  Yanhui Zeng (1)
  
  1. Department of Mathematics ; Nanchang University ; Nanchang ; 330031 ; People鈥檚 Republic of China
  
• 关键词：Adaptive control ; Unknown parameter ; External disturbance ; Single input
• 刊名：Nonlinear Dynamics
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：80
• 期：1-2
• 页码：989-998
• 全文大小：446 KB
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• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

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.