基于分岔理论的永磁同步电机有限时间混沌控制  

Finite Time Chaos Control of PMSM Based on Bifurcation Theory

作　　者：戴磊 魏海峰[1,2] 李洋洋 张懿 李垣江[1,2] DAI Lei;WEI Hai-feng;LI Yang-yang;ZHANG Yi;LI Yuan-jiang(School of Electronic Information,Jiangsu University of Science and Technology,Zhenjiang 212003,China;Jiangsu Shiptek Automation Technology Co.Ltd.,Zhenjiang 212003 China)

机构地区：[1]江苏科技大学电子信息学院,江苏镇江212003 [2]江苏舾普泰克自动化科技有限公司,江苏镇江212003

出　　处：《控制工程》2022年第1期27-32,共6页Control Engineering of China

基　　金：国家自然科学基金资助项目(51977101);江苏省省重点研发计划产业前瞻性与共性关键技术重点项目(BE2018007)。

摘　　要：永磁同步电机运行系统具有不稳定的分岔特性,随着系统参数的变化,系统会在平衡点处发生分岔行为。首先,基于分岔理论构建了永磁同步电机的混沌模型。其次,通过研究系统的分岔参数,分析了系统在平衡点处的分岔特性,发现系统在零平衡点处会产生静态分岔并出现新的平衡点,随着参数的继续变化,系统在新的平衡点处发生连续的Hopf分岔,而连续的Hopf分岔行为使得系统进入混沌状态;再基于有限时间稳定性理论,构建了一种有限时间控制器对系统进行混沌控制。最后通过仿真,验证了系统在加入控制器后会在有限的时间内迅速达到Lyapunov稳定,并且具有良好的鲁棒性和快速的动态响应。The permanent magnet synchronous motor(PMSM) system has an unstable bifurcation characteristic.With the change of system parameters,the system has a bifurcation behavior at the equilibrium point.Based on the bifurcation theory,the chaos model of PMSM is first constructed in this paper.Then,the bifurcation characteristics of equilibrium point are analyzed by studying the bifurcation parameters of the system.It is found that the system generates static bifurcations and new equilibrium points at the zero equilibrium point.As the parameters continue to change,the system generates continuous Hopf bifurcations at the new equilibrium point,and the continuous Hopf bifurcation behavior makes the system enter a chaos state.Based on the theory of finite time stability,a finite time controller is constructed to control chaos in this paper.Finally,the simulation verifies that the system can achieve Lyapunov stability quickly and has good robustness and fast dynamic response in a limited time after adding the controller.

关 键 词：永磁同步电机 分岔特性 混沌 有限时间稳定 

分 类 号：TM34[电气工程—电机]