Journal of Guangxi Normal University(Natural Science Edition) ›› 2021, Vol. 39 ›› Issue (2): 62-70.doi: 10.16088/j.issn.1001-6600.2020031601

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Sliding Mode Control for Fractional Chaotic Order Synchronous Reluctance Motor

WU Lei1*, YANG Zhi 2, ZHANG Lei 1, BAI Kezhao3   

  1. 1. Department of Teaching and Research, 95795 Troops of the PLA, Guilin Guangxi 541003, China;
    2. School of Computer Science and Technology, Changchun University of Science and Technology, Changchun Jilin 130022, China;
    3. College of Physics and Technology, Guangxi Normal Universily, Guilin Guangxi 541004, China
  • Received:2020-03-16 Revised:2020-07-14 Online:2021-03-25 Published:2021-04-15

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Abstract: The maximum Lyapunov exponent of fractional order FOSRM system is calculated and 0-1 test for time series of status values is made by using numerical methods. The minimum order of chaotic motion of fractional order FOSRM system is about 2.01.The fractional order synchronous reluctance motor (FOSRM) has chaotic oscillation under the condition of specific order and parameters, which seriously affects the dynamic performance and stability of the system. In this paper, a controller designed based on the infinite state method and sliding mode control theory is used. The stabilization control of the system is realized under the conditions of no disturbance or disturbance. The global asymptotic stability of the system can be achieved rapidly, and the effectiveness of the method is verified by numerical simulation. The evaluation index of state stabilization control is that whether the system can quickly reach the global stability of zero value. Numerical simulation verifies the effectiveness of the method in this paper. The study on the stabilization control of fractional synchronous reluctance motors provides a reference for the research of excellent control methods in engineering practice.

Key words: fractional-order synchronous reluctance motors, fractional order calculus, sliding mode control, chaos, Adomian decomposition algorithm

CLC Number: 

  • O415.5
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