基于有限时间LaSalle不变集的PMSM混沌控制

doi:10.16182/j.issn1004731x.joss.20-0509

系统仿真学报 ›› 2020, Vol. 32 ›› Issue (10): 1956-1963.doi: 10.16182/j.issn1004731x.joss.20-0509

• 仿真支撑平台/系统技术 • 上一篇下一篇

基于有限时间LaSalle不变集的PMSM混沌控制

张云, 王聪, 张宏立, 马萍

新疆大学电气工程学院,新疆乌鲁木齐 830047

收稿日期:2020-06-03 修回日期:2020-07-21 出版日期:2020-10-18 发布日期:2020-10-14
作者简介:张云(1996-),男,河南,硕士生,研究方向为永磁同步电动机的非线性动力学分析与控制。
基金资助:
国家自然科学基金(51767022,51967019),新疆维吾尔自治区自然科学基金(2019D01C082)

Chaos Control of Permanent Magnet Synchronous Motor Based on Finite Time LaSalle Invariant Set

Zhang Yun, Wang Cong, Zhang Hongli, Ma Ping

School of Electrical Engineering, Xinjiang University, Urumchi 830047, China

Received:2020-06-03 Revised:2020-07-21 Online:2020-10-18 Published:2020-10-14

摘要/Abstract

摘要： 为有效地抑制永磁同步电动机系统的混沌行为,基于有限时间理论和LaSalle不变集定理设计了一种自适应控制器。分析了永磁同步电动机系统的混沌动力学特性,确定了系统处于不同运动状态的参数域;在理论上证明该控制器能够在有限时间内稳定到平衡点且能自动跟踪系统平衡点;仿真实验证明,该控制方案形式简单,快速性更好,稳定性更高。研究结果对保证永磁同步电动机的稳定运行具有重要意义。

关键词: 永磁同步电动机, 分岔图, 有限时间理论, LaSalle不变集

Abstract: In order to effectively restrain the chaotic behavior of permanent magnet synchronous motor, an adaptive controller is designed based on finite time theory and LaSalle invariant set theorem. The chaotic dynamics characteristics of the permanent magnet synchronous motor system are analyzed, and the parameter fields of the system in different motion states are determined. It is proved theoretically that the controller can stabilize to the equilibrium point in finite time and can automatically track the equilibrium point of the system. Simulation results show that the control scheme is concise, faster and more stable. The research results are of great significance to ensure the stable operation of PMSM.

Key words: permanent magnet synchronous motor, bifurcation diagram, finite time theory, laSalle invariant set

中图分类号:

TP273

张云, 王聪, 张宏立, 马萍. 基于有限时间LaSalle不变集的PMSM混沌控制[J]. 系统仿真学报, 2020, 32(10): 1956-1963.

Zhang Yun, Wang Cong, Zhang Hongli, Ma Ping. Chaos Control of Permanent Magnet Synchronous Motor Based on Finite Time LaSalle Invariant Set[J]. Journal of System Simulation, 2020, 32(10): 1956-1963.

参考文献 17

[1]	麦贤慧, 韦笃取, 罗晓曙. Newman-Watts型小世界电机网络混沌行为的牵制控制[J]. 复杂系统与复杂性科学, 2017, 1(14): 96-102.Mai Xianhui, Wei Duqu, Luo Xiaoshu.Containment control of chaotic behavior in a small-world motor network based on newt-watts[J]. Complex Systems and Complexity Science, 2017, 1(14): 96-102.
[2]	Li J, Ye X D.Recent Development of Chaos Theory in Topological Dynamics[J]. Acta Mathematica Sinica (S1439-8516), 2016, 32(1): 83-114.
[3]	陈强, 南余荣, 邢科新. 基于扩张状态观测器的永磁同步电机混沌系统自适应滑模控制[J]. 物理学报, 2014, 63(22): 117-124.Chen Qiang, Nan Yurong, Xing Kexin.Adaptive sliding mode control for chaos system of permanent magnet synchronous motor based on extended state observer[J]. Acta Physica Sinica, 2014, 63(22): 117-124.
[4]	杨益飞, 骆敏舟, 邢绍邦, 等. 永磁同步发电机混沌运动分析及最优输出反馈$H_{\infty}$控制[J]. 物理学报, 2015, 64(4): 38-44.Yang Yifei, Luo Minzhou, Xing Shaobang, et al.Chaotic motion analysis of permanent magnet synchronous generators and optimal output feedback $H_{\infty}$ control[J]. Acta Physica Sinica, 2015, 64(4): 38-44.
[5]	Li Z, Zhang R, Du Y, et al.Research on Backstepping Control of Permanent Magnet Linear Synchronous Motor Based on Lyapunov Stability Theory, 2018 21st International Conference on Electrical Machines and Systems (ICEMS)[J]. Jeju: IEEE, 2018, 10: 1348-1351.
[6]	He W, David A O, Zhao Y, et al.Neural network control of a robotic manipulator with input deadzone and output constraint[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems (S2168-2216), 2016, 46(6): 759-770.
[7]	柯伟煌, 钱胜南, 张艺, 等. 基于扰动观测器的永磁同步电动机无差拍电流预测控制仿真[J]. 电气技术, 2019, 20(8): 1-5.Ke Weihuang, Qian Shengnan, Zhang Yi, et al.Simulation of PMSM's deadbeat current prediction based on disturbance observer[J]. Electrical Technology, 2019, 20(8): 1-5.
[8]	王要强, 冯玉涛, 秦明, 等. 表贴式永磁同步电机全阶滑模观测与控制策略[J]. 电工技术学报, 2018, 33(24): 5688-5699.Wang Yaoqiang, Feng Yutao, Qin Ming, et al.Observation and control of full-order sliding mode of PMSM[J]. Journal of Electrotechnics, 2018, 33(24): 5688-5699.
[9]	李春来, 禹思敏. 永磁同步电动机的自适应混沌控制[J]. 物理学报, 2011, 60(12): 90-96.Li Chunlai, Yu Simin.Adaptive chaos control of permanent magnet synchronous motors[J]. Acta Physica Sinica, 2011, 60(12): 90-96.
[10]	Yu J, Zhao L, Yu H, et al.Fuzzy finite-time command filtered control of nonlinear systems with input saturation[J]. IEEE Transactions on Cybernetics (S2168-2267), 2018, 48(8): 2378-2387.
[11]	Bhat S P D, Bernstein D S. Finite-time stability of continuous autonomous systems[J]. SIAM J on Control and Optimization (S0363-0129), 2000, 38(3): 751-766.
[12]	丁世宏, 李世华. 有限时间控制问题综述[J]. 控制与决策, 2011, 26(2): 161-169.Ding Shihong, Li Shihua.Summary of finite time control problem[J]. Control and Decision-making, 2011, 26(2): 161-169.
[13]	汪慕峰, 韦笃取, 罗晓曙, 等. 基于有限时间稳定理论的无刷直流电动机混沌振荡控制[J]. 振动与冲击, 2016, 35(13): 90-93.Wang Mufeng, Wei Duqu, Luo Xiaoshu, et al.Chaotic oscillation control of brushless dc motor based on finite time stability theory[J]. Vibration and Impact, 2016, 35(13): 90-93.
[14]	Wang H, Han Z Z, Xie Q Y, et al.Finite-time chaos control via nonsingular terminal sliding mode control[J]. Communications in Nonlinear Science and Numerical Simulation (S1007-5704), 2009, 14(6): 2728-2733.
[15]	Wang H, Han Z Z, Xie Q Y, et al.Finite-time chaos control of unified chaotic systems with uncertain parameters[J]. Nonlinear Dynamics (S0924-090X), 2009, 55(4): 323-328.
[16]	韦笃取. 基于LaSalle不变集定理自适应控制永磁同步电动机的混沌运动[J]. 物理学报, 2009, 58(9): 6026-6029.Wei Duqu.Adaptive control of chaotic motion of permanent magnet synchronous motors based on LaSalle invariant set theorem[J]. Acta Physica Sinica, 2009, 58(9): 6026-6029.
[17]	LaSalle J P. The extent of asymptotic stability[J]. Proc Natl Acad Sci USA (S0027-8424), 1960, 46(3): 363-365.

基于有限时间LaSalle不变集的PMSM混沌控制

Chaos Control of Permanent Magnet Synchronous Motor Based on Finite Time LaSalle Invariant Set

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