摘要
永磁同步电机是水下航行器的重要组成部分,其复杂的非线性行为会形成混沌运动,导致电机的控制性能下降,严重影响点击工作效率。文中对永磁同步电机运行系统的Hopf分岔及其混沌行为进行分析与控制,首先将系统的物理模型进行无量纲化,得到简化后的类混沌数学模型,分析得出系统的Hopf分岔点是由外部输入参数ud和系统的不确定参数σ决定,系统在达到临界分岔点后,随着分岔参数γ的变化,会产生连续的Hopf分岔现象并最终进入混沌状态。在此基础上,构造了一种基于线性矩阵不等式(LMI)算法的自适应混沌控制器来控制系统的混沌运动。仿真验证可知,在加入控制后,系统原来的紊乱混沌状态能够有效地回到稳定平衡点。
Permanent magnet synchronous motors(PMSMs)are an important part of undersea vehicles.Its complex nonlinear behavior will form a chaotic motion,reducing the control performance of the motor and seriously affecting its working efficiency.In this study,Hopf bifurcation and chaotic behavior analysis and control of its operating system are studied.First,the physical model of the PMSM is dimensionalized,and a simplified chaos-like mathematical model is obtained.After the external input is determined,the Hopf bifurcation of the system is analyzed.It is found that the Hopf bifurcation point of the system is determined by the external input parameter ud and uncertain parameterσof the system.When the system reaches the critical bifurcation point,with a change in the bifurcation parameterγ,the system produces a continuous Hopf bifurcation phenomenon and finally enters the chaotic state,and each state of the system will show the phenomenon of irregular motion.Aiming at the parameter uncertainty of the PMSM operating system,an adaptive chaos controller based on the linear matrix inequality(LMI)algorithm is proposed to control the chaotic behavior of the system.The simulation results show that the original chaotic state of the system can effectively return to a stable equilibrium point after the addition of the control.
作者
戴磊
李洋洋
尤钱亮
魏海峰
张懿
DAI Lei;LI Yang-yang;YOU Qian-liang;WEI Hai-feng;ZHANG Yi(School of Electronics and Information,Jiangsu University of Science and Technology,Zhenjiang 212003,China;Nantong academy of intelligent sensing,Nantong 226001,China)
出处
《水下无人系统学报》
2021年第3期293-298,共6页
Journal of Unmanned Undersea Systems
基金
国家自然基金科学基金项目(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)。
关键词
永磁同步电机
HOPF分岔
混沌运动
线性矩阵不等式算法
自适应控制
permanent magnet synchronous motor(PMSM)
Hopf bifurcation
chaotic motion
linear matrix inequality(LMI)algorithm
adaptive control
作者简介
戴磊(1995-),男,在读硕士,主要研究方向为电机控制.
