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| Dynamic Analysis and Control of Fractional-Order Chua’s Circuit System Based on Adaptive Sliding Mode Control |
| ZHU Wei1, CHEN Kun2,3, WANG Qian2,3, ZHU Hongzhao2,3
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1.Hunan Provincial Power Transmission and Maintenance Branch, Hengyang 421000, China;
2.Electric Power Research Institute, Wuhan South Company LTD, Wuhan 430074, China;
3.Hubei Key Laboratory of Power Grid Lightning Risk Prevention,Wuhan 430074, China |
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Abstract In order to study the dynamic behavior of integer order system, scholars both in china and abroad have made great efforts and reached many important conclusions. However, in real life, the more existence is the fractional-order system. Therefore, The study of dynamic behavior of fractional-order Chua’s circuit system becomes very forward and meaningful. The main research object of this paper is the three dimensional fractional-order chua's circuit system, through the Routh-Hurwitz criterion, Lyapunov stability judgment method and matrix theory derived the sufficient condition of the asymptotic stability of the Chua’s circuit system and the selection of adaptive controller condition. Finally, the validity and rationality of the theory are verified by numerical simulation.
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Received: 18 March 2018
Published: 09 January 2019
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