中国物理B ›› 2012, Vol. 21 ›› Issue (10): 100506-100506.doi: 10.1088/1674-1056/21/10/100506

• GENERAL • 上一篇    下一篇

Fractional-order permanent magnet synchronous motor and its adaptive chaotic control

李春来a c, 禹思敏a, 罗晓曙b   

  1. a College of Automation, Guangdong University of Technology, Guangzhou 510006, China;
    b College of Electronic Engineering, Guangxi Normal University, Guilin 541004, China;
    c College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, China
  • 收稿日期:2012-02-25 修回日期:2012-05-18 出版日期:2012-09-01 发布日期:2012-09-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61172023, 60871025, and 10862001), the Natural Science Foundation of Guangdong Province, China (Grant Nos. S2011010001018 and 8151009001000060), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20114420110003).

Fractional-order permanent magnet synchronous motor and its adaptive chaotic control

Li Chun-Lai (李春来)a c, Yu Si-Min (禹思敏)a, Luo Xiao-Shu (罗晓曙)b   

  1. a College of Automation, Guangdong University of Technology, Guangzhou 510006, China;
    b College of Electronic Engineering, Guangxi Normal University, Guilin 541004, China;
    c College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, China
  • Received:2012-02-25 Revised:2012-05-18 Online:2012-09-01 Published:2012-09-01
  • Contact: Li Chun-Lai E-mail:lichunlai33@126.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61172023, 60871025, and 10862001), the Natural Science Foundation of Guangdong Province, China (Grant Nos. S2011010001018 and 8151009001000060), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20114420110003).

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摘要： In this paper we investigate the chaotic behaviors of the fractional-order permanent magnet synchronous motor (PMSM). The necessary condition for the existence of chaos in the fractional-order PMSM is deduced. And an adaptive-feedback controller is developed based on the stability theory for fractional systems. The presented control scheme, which contains only one single state variable, is simple and flexible, and it is suitable both for design and for implementation in practice. Simulation is carried out to verify that the obtained scheme is efficient and robust against external interference for controlling the fractional-order PMSM system.

关键词: fractional-order, permanent magnet synchronous motor, adaptive chaotic control

Abstract: In this paper we investigate the chaotic behaviors of the fractional-order permanent magnet synchronous motor (PMSM). The necessary condition for the existence of chaos in the fractional-order PMSM is deduced. And an adaptive-feedback controller is developed based on the stability theory for fractional systems. The presented control scheme, which contains only one single state variable, is simple and flexible, and it is suitable both for design and for implementation in practice. Simulation is carried out to verify that the obtained scheme is efficient and robust against external interference for controlling the fractional-order PMSM system.

Key words: fractional-order, permanent magnet synchronous motor, adaptive chaotic control

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
05.45.Ac (Low-dimensional chaos)