广西师范大学学报（自然科学版） ›› 2017, Vol. 35 ›› Issue (4): 10-16.doi: 10.16088/j.issn.1001-6600.2017.04.002

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基于反馈线性化法的同步磁阻电机跟踪控制

吴 雷1,马姝靓2*,肖华鹏2,唐 文1   

  1. 1.空军空降兵学院自动化系,广西桂林541003;
    2.广西师范大学物理与科学技术学院,广西桂林541004
  • 出版日期:2017-07-25 发布日期:2018-07-25
  • 通讯作者: 马姝靓(1981—),女,辽宁抚顺人,广西师范大学讲师。E-mail:ma_shujing@126.com
  • 基金资助:
    国家自然科学基金(61307096,61565002,11665007);广西自然科学基金(2013GXNSFBA019006,2014GXNSFBA118282);广西高等学校科学研究项目(2013YB033,D20140213)

Tracking Control of Synchronous Reluctance Motor Basedon Feedback Linearization Method

WU Lei1, MA Shujing2*, XIAO Huapeng2, TANG Wen1   

  1. 1.Department of Automation,Air Force Airborne Academy, Guilin Guangxi 541003, China;
    2. College of Physical Science and Technology, Guangxi Normal University, Guilin Guangxi 541004, China
  • Online:2017-07-25 Published:2018-07-25

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摘要： 抑制同步磁阻电机的混沌而保持其稳定性是一个值得研究的重要问题。本文针对同步磁阻电机的混沌特性进行数值研究,利用李雅普诺夫指数分析同步磁阻电机不同的运动状态;并结合微分几何中的局部反馈线性化理论以及滑模控制理论设计了控制器。结果表明,给予输入输出反馈线性化的滑模控制方法能够实现对精确同步磁阻电机和不确定同步磁阻电机的输出信号的有效跟踪。

关键词: 同步磁阻电机, 输入输出反馈线性化, 滑模控制

Abstract: It is important to study how to control chaos in synchronous reluctance motor. In the paper, chaotic characteristics of synchronous reluctance motor is studied by numerical analysis. The different motion states of synchronous reluctance motor are analyzed by using Lyapunov exponent. The controller is designed based on the local feedback linearization theory in differential geometry and sliding mode control theory. The results show that the sliding mode control method with input output feedback linearization can realize the accurate tracking of the output signals of the precise synchronous reluctance motor and the uncertain synchronous reluctance motor.

Key words: synchronous reluctance motor, input output feedback linearization, sliding mode control

中图分类号: 

  • O415.5
[1] KUROE Y, HAYASHI S. Analysis of bifurcation in power electronic induction motor drive systems[C]//20th Annual IEEE Power Electronics Specialists Conference. Piscataway NJ: IEEE Press, 1989:923-930.
[2] SUTO Z, NAGY I. Bifurcation phenomena of direct torque controlled induction machines due to discontinuities in the operation[C]//IEEE International Conference on Industrial Technology. Piscataweny, NJ:IEEE Press, 2005:496-501.
[3] ROBERT B, ALIN F, GOELDEL C. A periodic and chaotic dynamics in hybrid step motor-new experimental results[J].IEEE International Symposium on Industrial Electronics, 2001, 3(3):2136-2141.
[4] JING Z, YU C, CHEN G. Complex dynamics in a permanent-magnet reluctance motor model[J].Chaos, Solitons, and Fractals, 2004, 22(4):831-848.
[5] REN H, LIU D. Nonlinear feedback control of chaos in permanent magnet synchronous motor[J].IEEE Transactions on Circuits and Systems Ⅱ: Express Briefs, 2006, 53(1):45-50.
[6] WEI D Q, LUO X S, WANG B H, et al. Robust adaptive dynamic surface control of chaos in permanent magnet synchronous motor[J].Physics Letters A, 2007,363(1/2):71-77.
[7] 陈强,任雪梅. 基于多核最小二乘支持向量机的永磁同步电机混沌建模及其实时在线预测[J].物理学报,2010,59(4):2310-2318.
[8] 雷腾飞,陈恒,孟敬,等. 同步磁阻电机混沌系统的自适应滑模控制[J].洛阳理工学院学报, 2014,37(4):130-132.
[9] 李建昌,韦笃取,张波. 基于拉萨尔不变集定理控制同步磁阻电机的混沌振荡[J].微电机, 2013,41(4):5-7.
[10] 余红英,赵少雄,杨臻. 同步磁阻电机自适应混沌同步控制仿真研究[J].计算机测量与控制,2016,24(11):67-70.
[11] WANG Y W, WEN C Y, SOH Y C, et al. Reduced-order impulsive control for a class of nonlinear systems[J].International Journal of Robust and Nonlinear Control, 2009, 20(8): 892-898.
[12] 邹国棠,王政,程明.混沌电机驱动及其应用[M].北京:科学出版社, 2009.
[13] KHALIL H K. Nonlinear system[M].New Jersey: Prentice-Hall,2002.
[14] 吴雷,阳丽,郭鹏霄. Rucklidge系统的反馈线性化控制[J].广西师范大学学报(自然科学版),2017,35 (1):21-27.
[15] 郑凯锋,杨桂玲,房加志.阀控非对称缸系统的反馈线性化滑模控制[J].机床与液压,2017,45(5):151-154.
[16] HILBORN R C. Chaos and nonlinear dynamics: an introduction for scientists and engineers[M].London: Oxford University Press,1994.
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