基于改进函数投影同步的PMSM有限时间混沌控制  

Finite-time control of chaos in PMSM based on improved function projective synchronization

作　　者：周群利[1,2] 宋全军 潘宏青 ZHOU Qunli;SONG Quanjun;PAN Hongqing(Institute of Electrical and Automation,Wuhu Institute of Technology,Wuhu 241006,Anhui,China;Hefei Institute of Intelligent Machines,Chinese Academy of Science,Hefei 230031,Anhui,China)

机构地区：[1]芜湖职业技术学院电气与自动化学院,安徽芜湖241006 [2]中国科学院合肥智能机械研究所,安徽合肥230031

出　　处：《云南大学学报（自然科学版）》2024年第6期1057-1066,共10页Journal of Yunnan University(Natural Sciences Edition)

基　　金：安徽省高校优秀拔尖人才培育项目(gxgnfx2021190);安徽高校自然科学研究重点项目(KJ2020A0911).

摘　　要：研究了均匀气隙永磁同步电动机(permanent magnet synchronous motor,PMSM)在参数确定,以及空载且定子绕组只有直轴输入电压供电的情况下,对在一定的输入电压范围内发生的混沌振荡进行控制.针对PMSM中直轴、交轴电流和电机角速度的混沌振荡,提出一种基于改进函数投影同步和有限时间稳定的控制方法.设计了改进函数投影同步控制器,并基于Lyapunov稳定性定理,从理论上证明所设计的控制器的有效性.仿真结果表明,系统在施加的控制器的作用下,原运行于混沌状态的系统能够在很短时间内收敛于稳定的状态,且具有对外部扰动的强鲁棒性.与施加输入–状态线性化方法设计的控制器的效果相比,系统状态变量能够更快达到预期控制设定值,并维持在平衡状态运行,具有良好的动态品质.The uniform air gap PMSM(permanent magnet synchronous motor)is studied to control the chaotic oscillation in a certain range of input voltage when the parameters are determined and the stator windings are supplied with direct axis input voltage without load.A control method based on improved function projective synchronization and finite-time stabilization is proposed for chaotic oscillation of the direct axis current,the quadrature axis current,and motor angular velocity in PMSM.Based on Lyapunov stability theorem,an improved function projective synchronization controller is designed and its validity is proved theoretically.The simulation results show that the chaotic system can converge to a stable state in a very short time under the action of the applied controller,and the controller proposed has strong robustness to external disturbances.Compared with the controller designed by input-state linearization method,the system state variables can reach the expected control setpoint faster and maintain the equilibrium state,which has a good dynamic quality.

关 键 词：永磁同步电动机 混沌控制 改进函数投影同步 有限时间控制 稳定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]