广西师范大学学报（哲学社会科学版） ›› 2021, Vol. 39 ›› Issue (2): 62-70.doi: 10.16088/j.issn.1001-6600.2020031601

• CCIR2020 • 上一篇    下一篇

分数阶混沌同步磁阻电机的滑模控制

吴雷1*, 阳志2, 张磊1, 白克钊3   

  1. 1.中国人民解放军95795部队教研部, 广西 桂林 541003;
    2.长春理工大学 计算机科学技术学院, 吉林 长春130022;
    3.广西师范大学 物理与科学技术学院, 广西 桂林 541004
  • 收稿日期:2020-03-16 修回日期:2020-07-14 出版日期:2021-03-25 发布日期:2021-04-15
  • 通讯作者: 吴雷(1979—),男,湖南长沙人,中国人民解放军95795部队讲师。E-mail:gxglwulei@163.com
  • 基金资助:
    国家自然科学基金地区基金(11665007);广西自然科学基金(2018GXNSFAA138190);广西高校青年教师基础能力提升计划(2018KY0085)

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

摘要： 利用数值方法,计算了分数阶同步磁阻电机系统的最大李雅普诺夫指数,并对其状态值时间序列进行0-1测试,得出其出现混沌运动的最小阶数约为2.01,表明该系统在特定阶数和参数情况下会出现混沌振荡,进而严重影响电机动态性能和稳定性。通过考察控制系统的频率特征,基于无穷状态方法和滑模控制理论设计合理的控制器,借助李雅普诺夫方法,实现了该系统在无干扰和有干扰2种情况下的镇定控制,系统状态镇定控制的评价指标是系统能否迅速达到零值全局渐进稳定,数值仿真验证了本文方法的有效性。研究分数阶同步磁阻电机的镇定控制问题对工程实践中研究优良的控制方法提供了参考。

关键词: 分数阶同步磁阻电机, 分数阶微分, 滑模控制, 混沌, Adomian分解算法

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

中图分类号: 

  • O415.5
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