Stabilization of a fractional-order chaotic brushless DC motor via a single input

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• 作者：Ping Zhou ; Rong-ji Bai ; Ji-ming Zheng
• 关键词：Fractional ; order brushless DC motor ; Chaotic attractor ; Generalized Gronwall inequality ; Mittag–Leffler function ; Control of chaos
• 刊名：Nonlinear Dynamics
• 出版年：2015
• 出版时间：October 2015
• 年：2015
• 卷：82
• 期：1-2
• 页码：519-525
• 全文大小：1,053 KB
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• 作者单位：Ping Zhou (1) (2)
  Rong-ji Bai (1) (2)
  Ji-ming Zheng (1) (2)
  
  1. Center of System Theory and its Applications, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China
  2. Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

A fractional-order brushless DC motor (BLDCM) system is proposed in this paper. By computer simulations, we find that the fractional-order BLDCM system exhibits a chaotic attractor for fractional order \(0.96 < q \le 1\), and that the largest Lyapunov exponent varies depending on fractional-order q. Furthermore, in order to stabilize the fractional-order chaotic BLDCM system, two control strategies are presented via single input, based on the generalized Gronwall inequality and the Mittag–Leffler function. Numerical simulations are presented to verify the validity and feasibility of the proposed control schemes. Keywords Fractional-order brushless DC motor Chaotic attractor Generalized Gronwall inequality Mittag–Leffler function Control of chaos