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Design of sliding mode controller for a class of fractional-order chaotic systems |
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| Authors: | Chun Yin Shou-ming Zhong Wu-fan Chen |
| Affiliation: | a School of Mathematics Science, University of Electronic Science and Technology of China, Chengdu 611731, PR China b Key Laboratory for Neuroinformation of Ministry of Education, University of Electronic Science and Technology of China, Chengdu 611731, PR China c School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, PR China |
| Abstract: | In this paper, a sliding mode control law is designed to control chaos in a class of fractional-order chaotic systems. A class of unknown fractional-order systems is introduced. Based on the sliding mode control method, the states of the fractional-order system have been stabled, even if the system with uncertainty is in the presence of external disturbance. In addition, chaos control is implemented in the fractional-order Chen system, the fractional-order Lorenz system, and the same to the fractional-order financial system by utilizing this method. Effectiveness of the proposed control scheme is illustrated through numerical simulations. |
| Keywords: | Fractional-order derivative General fractional-order chaotic system Sliding mode control Chaos |
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