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Control of a novel class of fractional-order chaotic systems via adaptive sliding mode control approach |
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| Authors: | Chun Yin Sara Dadras Shou-ming Zhong YangQuan Chen |
| Institution: | 1. School of Mathematics Science, University of Electronic Science and Technology of China, Chengdu 611731, PR China;2. Center for Self-Organizing and Intelligent Systems (CSOIS), Electrical and Computer Engineering Department, Utah State University, Logan, UT 84322-4160, USA;3. Automation and Instruments Lab, Electrical Engineering Department, Tarbiat Modares University, P.O. Box 14115-143, Tehran, Iran;4. Key Laboratory for Neuroinformation of Ministry of Education, University of Electronic Science and Technology of China, Chengdu 611731, PR China |
| Abstract: | In this paper, an adaptive sliding mode controller for a novel class of fractional-order chaotic systems with uncertainty and external disturbance is proposed to realize chaos control. The bounds of the uncertainty and external disturbance are assumed to be unknown. Appropriate adaptive laws are designed to tackle the uncertainty and external disturbance. In the adaptive sliding mode control (ASMC) strategy, fractional-order derivative is introduced to obtain a novel sliding surface. The adaptive sliding mode controller is shown to guarantee asymptotical stability of the considered fractional-order chaotic systems in the presence of uncertainty and external disturbance. Some numerical simulations demonstrate the effectiveness of the proposed ASMC scheme. |
| Keywords: | Fractional-order chaotic system Adaptive sliding mode control Chaos Uncertainty External disturbance |
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