Journal of Guangxi Normal University(Natural Science Edition) ›› 2020, Vol. 38 ›› Issue (6): 14-20.doi: 10.16088/j.issn.1001-6600.2020.06.002

Previous Articles     Next Articles

Research on Generalized Sychronization of Fractional-order PMSM

HU Jinming, WEI Duqu*   

  1. College of Electronic Engineering, Guangxi Normal University, Guilin Guangxi 541004, China
  • Received:2019-12-13 Published:2020-11-30

Abstract: Chaos oscillator emerges in the fractional-order permanent magnet synchronous motor (PMSM) with some specific operation status and parameters, which will seriously destroy the stable operation of the electric drive system. According to the stability theory of fractional-order system and the characteristics of PMSM, a chaos synchronization controller based on generalized synchronization method is designed and chaotic synchronization of fractional-order PMSM is achieved. Numerical simulation results prove the correctness and effectiveness of the proposed control method, which is flexible and has a wide range of applications.

Key words: fractional order, permanent magnet synchronous motor, generalized sychronization, chaotic synchronization

CLC Number: 

  • TM341
[1] 石建平,杨兰天,刘丹. 基于量子粒子群算法的混沌系统同步控制及参数辨识[J]. 计算物理,2019,36(2):236-244.
[2] 袁佳良. 基于混沌同步的海量信息传输研究[J]. 移动通信,2019,43(2):88-91,96.
[3] NADERI B, KHEIRI H, HEYDARI A. Secure communication based on synchronization of three chaotic systems[J]. International Journal of Nonlinear Science,2019,27(1):53-64.
[4] 李健康,韦笃取,罗晓曙,等. 分布式发电系统与感性负载网络混沌同步控制[J]. 广西师范大学学报(自然科学版),2019,37(3):33-41.
[5] 孟晓玲,程春蕊. 一类分数阶混沌系统的修正函数投影同步[J]. 湖北大学学报(自然科学版),2018,40(3):232-236.
[6] 阎晓妹,尚婷,赵小国. 基于分数阶滑模控制器的不确定分数阶混沌系统同步[J]. 应用数学学报,2018,41(6):765-776.
[7] 王娴,李东. 分数阶混沌系统的间歇控制同步[J]. 重庆工商大学学报(自然科学版),2018,35(4):13-17.
[8] OUANNAS A, GRASSI G. Inverse full state hybrid projective synchronization for chaotic maps with different dimensions[J]. Chinese Physics B,2016,25(9):090503.
[9] MARTÍNEZ-GUERRA R,MATA-MACHUCA J L. Fractional generalized synchronization in a class of nonlinear fractional order systems[J]. Nonlinear Dynamics,2014,77(4):1237-1244.
[10] 赵宁,高远,范健文,等. 分数阶混沌系统的广义同步研究[J]. 广西工学院学报,2012,23(2):14-18.
[11] 李小娟,徐振源,谢青春,等. 单向耦合下两个不同Lorenz系统的广义同步[J]. 物理学报,2010,59(3):1532-1539.
[12] 朱泽飞,涂俐兰,吴泽虎. 异维混沌动力系统的有限时间广义同步[J]. 数学杂志,2017,37(2):365-375.
[13] 刘加勋,王佐勋,雷腾飞,等. 永磁同步电机有限时间混沌同步控制[J]. 微特电机,2019,47(8):45-47,53.
[14] 赵一民,黄植功. 基于模糊变步长神经网络的永磁同步电机控制系统[J]. 广西师范大学学报(自然科学版),2015,33(4):20-24.
[15] 周园,夏诚. 基于永磁同步电机混沌系统动力学研究[J]. 河北农机,2019(9):75-76.
[16] VAFAEI V,KHEIRI H,JAVIDI M. Chaotic dynamics and synchronization of fractional order PMSM system[J]. Sahand Communications in Mathematical Analysis,2015,2(2):83-90.
[17] SI G Q,SUN Z Y,ZHANG Y B,et al. Projective synchronization of different fractional-order chaotic systems with non-identical orders[J]. Nonlinear Analysis:Real World Applications,2012,13(4):1761-1771.
[18] MATIGNON D. Stability results for fractional differential equations with applications to control processing[C]// Proceedings of the 1996 Computational Engineering in Systems Applications. Piscataway, NJ: IEEE Press, 1996:963-968.
[1] LI Jiankang,WEI Duqu,LUO Xiaoshu,QIN Yinghua. Study on Chaotic Synchronization Control of Distributed Generation System and Inductive Load Network [J]. Journal of Guangxi Normal University(Natural Science Edition), 2019, 37(3): 33-41.
[2] MEI Chuncao, WEI Duqu*, LUO Xiaoshu. Stability Analysis of Inductive Load of Distributed Generation System [J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(2): 50-55.
[3] ZHAO Yi-min, HUANG Zhi-gong. Permanent Magnet Synchronous Motor Control System Based on Fuzzy Variable Step Size Neural Network [J]. Journal of Guangxi Normal University(Natural Science Edition), 2015, 33(4): 20-24.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] XU Jianmin, WEI Jia, SHOU Yanfang. Comprehensive Evaluation of Urban Road Traffic Operation StatusBased on Game Theory-Cloud Model[J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(4): 1 -10 .
[2] ZHANG Canlong, LI Yanru, LI Zhixin, WANG Zhiwen. Block Target Tracking Based on Kernel Correlation Filter and Feature Fusion[J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(5): 12 -23 .
[3] XU Lunhui, CAO Yuchao, LIN Peiqun. Location and Dispatching of Multiple Emergency Materials Center Based on Fusion Immune Optimization and Genetic Algorithm[J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(6): 1 -13 .
[4] ZHU Yongjian, LUO Jian, QIN Yunbai, QIN Guofeng, TANG Chuliu. A Method for Detecting Metal Surface Defects Based on Photometric Stereo and Series Expansion Methods[J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(6): 21 -31 .
[5] TANG Rongchai, WU Xiru. Real-time Detection of Passion Fruit Based on Improved YOLO-V3 Network[J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(6): 32 -39 .
[6] ZHANG Ruchang, QIU Jie, WANG Mingtang, CHEN Qingfeng. Classification of Protein 3D Structure Based on Adaptive Local Features[J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(6): 40 -50 .
[7] CHEN Dong, HU Kui. Cover Gorenstein AC-flat Dimensions[J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(6): 51 -55 .
[8] ZUO Jiabin, YUN Yongzhen. Anti-periodic Boundary Value Problem for a Class of Fractional Differential Equations[J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(6): 56 -64 .
[9] WANG Yue, YE Hongyan, LEI Jun, SUO Hongmin. Infinitely Many Classical Solutions for Kirchhoff Type Problem with Linear Term[J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(6): 65 -73 .
[10] HUANG Chunxian, ZHOU Xiaoliang. Bifurcation Analysis of an SIRS Epidemic Model with Graded Cure and Incomplete Recovery Rates[J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(6): 74 -81 .