基于双曲正切趋近律的永磁同步电机滑模控制
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摘要
针对永磁同步电机基于指数趋近律滑模控制方法系统抖振大,控制器设计过程中参数整定复杂的问题,提出一种基于双曲正切趋近律的滑模控制方法。在原有指数趋近律基础上引入双曲正切函数,不仅保留了指数项趋近速度快的优点,还使系统抖振得到抑制,使控制器设计过程中参数整定得到简化。利用双曲正切趋近律设计了永磁同步电机的滑模控制器,并用李雅普诺夫函数证明了其稳定性。应用Matlab软件搭建了仿真模型并与传统指数趋近律控制方法进行比较,仿真结果表明该控制器与传统指数趋近律控制器相比超调更小,稳定性更高。
A sliding mode control method based on hyperbolic tangent approach law is proposed to solve the problem of large chattering vibration and complicated parameter setting in the controller design of permanent magnet synchronous motor on the basis of exponential approach law. The hyperbolic tangent function is introduced based on index reaching law, which not only preserves the advantages of the exponential approach speed, but also suppresses the system buffeting and simplifies the parameter setting in the controller design process. In this study, the sliding mode controller of permanent magnet synchronous motor was designed by using the improved approach law and its stability was demonstrated by Lyapunov function. The simulation model was built by Matlab and the comparison between traditional exponential approach law control method and the improved approach law was given. The simulation results show that the controller has smaller overshoot and higher stability than the traditional exponential approach law controller.
A sliding mode control method based on hyperbolic tangent approach law is proposed to solve the problem of large chattering vibration and complicated parameter setting in the controller design of permanent magnet synchronous motor on the basis of exponential approach law. The hyperbolic tangent function is introduced based on index reaching law, which not only preserves the advantages of the exponential approach speed, but also suppresses the system buffeting and simplifies the parameter setting in the controller design process. In this study, the sliding mode controller of permanent magnet synchronous motor was designed by using the improved approach law and its stability was demonstrated by Lyapunov function. The simulation model was built by Matlab and the comparison between traditional exponential approach law control method and the improved approach law was given. The simulation results show that the controller has smaller overshoot and higher stability than the traditional exponential approach law controller.
引文
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[2] 张晓光,赵克,孙力,等.永磁同步电机滑模变结构调速系统动态品质控制[J].中国电机工程学报,2011,31(15):47-52.
[3] 汪海,周波,方斯琛.永磁同步电机调速系统的滑模控制[J].电工技术学报,2009,24(9):71-79.
[4] 袁磊,胡冰新,魏克银,等.现代永磁同步电机控制原理及MATLAB仿真[M].北京:北京航空航天大学出版社,2016:80-86.
[5] 戴鹏,徐楠,谢后晴,等.永磁同步电机调速系统的快速幂次趋近律控制[J].电机与控制学报,2017,21(11):32-38.
[6] 邱腾飞,温旭辉,赵峰,等.永磁同步电机永磁磁链自适应观测器设计方法[J].中国电机工程学报,2015,35(9):2 287-2 294.
[7] SHI T,WANG Z,XIA C.Speed Measurement Error Suppression for PMSM Control System Using Self-Adaption Kalman Observer[J].IEEE Transactions on Industrial Electronics,2015,62(5):2 753-2 763.
[8] XING J,LIU Z,ZHENG Z,et al.Fuzzy Self-Adaptive PI Control Method for Permanent Magnet Synchronous Motor Drive[J].International Journal of Simulation-Systems,Science & Technology,2016,17(17):1 543-1 554.
[9] Frijet Zaineb,Zribi Ali,Chtourou Mohamed.Adaptive neural network internal model control for PMSM speed regulation[J].Journal of Electrical Systems,2018,14(2):118-126.
[10] 滕青芳,柏建勇,朱建国,等.基于滑模模型参考自适应观测器的无速度传感器三相永磁同步电机模型预测转矩控制[J].控制理论与应用,2015,32(2):150-161.
[11] 贾洪平,孙丹,贺益康.基于滑模变结构的永磁同步电机直接转矩控制[J].中国电机工程学报,2006,26(20):134-138.
[12] 童克文,张兴,张昱,等.基于新型趋近律的永磁同步电动机滑模变结构控制[J].中国电机工程学报,2008,28(21):102-106.
[13] 李鸿儒,顾树生.基于神经网络的PMSM自适应滑模控制[J].控制理论与应用,2005,22(3):461-464.
[14] 李兆强,王凯.无抖振滑模控制在结构振动中的应用研究[J].计算机工程与应用,2017,53(11):229-232.
[15] 刘金锟.滑模变结构控制MATLAB仿真[M].北京:清华大学出版社,2005:38-40.
[16] 王成元,夏加宽,孙宜标.现代电机控制技术[M].北京:机械工业出版社,2010:120-125.