Adaptive control of discrete-time chaotic systems: a fuzzy control approach |
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| Institution: | 1. Department of MEEM, City University of Hong Kong, 83 Tat Chee Ave., Kowloon, Hong Kong SAR, China;2. Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Ave., Kowloon, Hong Kong SAR, China;1. LASS Laboratory, Department of Electronics, Faculty of Technology, University of Msila, BP 166 Ichbilia, Msila, Algeria;2. SET Laboratory, Department of Electronics, Faculty of Technology, University of Blida, BP 270 Route de Soumaa, Blida, Algeria;1. College of Science, Liaoning University of Technology, Jinzhou, Liaoning, 121001, China;2. School of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan, Liaoning, 114051, China;1. School of Automation, Northwestern Polytechnical University, Xi׳an 710070, China;2. School of Astronautics, Northwestern Polytechnical University, Xi׳an 710070, China;3. National Key Laboratory of Aerospace Flight Dynamics, Northwestern Polytechnical University, Xi׳an 710070, China;4. Department of Automation, Tsinghua University, 100084, China;1. Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea;2. Department of Mathematics, Periyar University, Salem 636011, India;3. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea |
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| Abstract: | This paper discusses adaptive control of a class of discrete-time chaotic systems from a fuzzy control approach. Using the T–S model of discrete-time chaotic systems, an adaptive control algorithm is developed based on some conventional adaptive control techniques. The resulting adaptively controlled chaotic system is shown to be globally stable, and its robustness is discussed. A simulation example of the chaotic Henon map control is finally presented, to illustrate an application and the performance of the proposed control algorithm. |
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