Controlling chaos based on an adaptive adjustment mechanism |
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| Institution: | 1. School of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, China;2. Key Laboratory of Fluid and Power Machinery, Ministry of Education, Xihua University, Chengdu 610039, China;3. Key Laboratory of Automobile Measurement and Control & Safty, Xihua University, Chengdu 610039, China;4. State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, China;1. Department of Electronics and Information Engineering, Kagawa University, 2217-20 Hayashi-cho, Takamatsu, Kagawa, 761-0396, Japan;2. Department of Electric and Electronic Engineering, Tokyo University of Technology, 1404-1 Katakuramachi, Hachioji City, Tokyo, 192–0982, Japan;3. Department of Electrical and Electronic Engineering, Chukyo University, 101-2 Yagoto Honmachi, Showa-ku, Nagoya-shi, 466–8666, Japan;1. School of Mathematics and Statistics, Xidian University, Xi’an 710071, China;2. School of Mathematical Sciences, Henan Institute of Science and Technology, Xinxiang 453003, China |
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| Abstract: | In this paper, we extend the ideas and techniques developed by Huang Huang W. Stabilizing nonlinear dynamical systems by an adaptive adjustment mechanism. Phys Rev E 2000;61:R1012–5] for controlling discrete-time chaotic system using adaptive adjustment mechanism to continuous-time chaotic system. Two control approaches, namely adaptive adjustment mechanism (AAM) and modified adaptive adjustment mechanism (MAAM), are investigated. In both case sufficient conditions for the stabilization of chaotic systems are given analytically. The simulation results on Chen chaotic system have verified the effectiveness of the proposed techniques. |
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