基于扩张状态观测器的永磁同步电机转速环连续螺旋控制

doi:10.12052/gdutxb.220062

摘要/Abstract

摘要： 针对传统矢量控制策略在保持系统动态性能的基础上无法消除系统扰动的问题，为进一步提高系统的控制精度及抗扰能力，提出了一种基于扩张状态观测器(Extended State Observer, ESO)的连续螺旋滑模控制(Continuous Twisting Sliding Mode Control, CTSMC)方法。首先，该方法以双闭环矢量控制结构为基础，在转速环部分采用连续螺旋控制方法，与传统控制方法相比，可以将误差收敛到一定的区域，不仅提高了负载扰动的鲁棒性，还有效减少了系统的抖振。其次，在此控制器的基础上加入扩张状态观测器，估计系统的总扰动，并将此信号用于前馈补偿，以进一步提高系统的动态性能。最后，利用Lyapunov稳定性理论进行了闭环稳定性分析。通过仿真和实验，验证了基于扩张状态观测器的连续螺旋滑模控制方法的正确性及可行性。

关键词: 永磁同步电机, 连续螺旋算法, 扩张状态观测器, 有限时间稳定

Abstract: Aiming at the problem that the traditional vector control strategy can not eliminate the system disturbance on the basis of maintaining the dynamic performance of the system, and at the same time, in order to further improve the control accuracy and anti-interference ability of the system, a continuous twisting sliding mode control (CTSMC) method based on extended state observer (ESO) is proposed. Firstly, based on the double closed-loop vector control structure, the continuous twisting control method is adopted in the speed loop. Compared with the traditional control method, this method can converge the error to a certain region, not only improving the robustness of load disturbance, but also reducing the chattering phenomenon. Secondly, based on this controller, an ESO is added to estimate the total disturbance of the system, and the signal is used for the feedforward compensation controller to further improve the dynamic performance of the system. Finally, the closed-loop stability analysis is carried out by using Lyapunov stability theory, and the effectiveness of this method is verified by simulation and experiment.

Key words: permanent magnetic synchronous motor, continuous twisting algorithm, extended state observer, finite-time stability

中图分类号:

TG156

吴宜, 梅珂琪, 丁世宏, 葛群辉, 王巍植. 基于扩张状态观测器的永磁同步电机转速环连续螺旋控制[J]. 广东工业大学学报, 2022, 39(05): 112-119.

Wu Yi, Mei Ke-qi, Ding Shi-hong, Ge Qun-hui, Wang Wei-zhi. An Extended State Observer Based Continuous Twisting Control for PMSM Speed Regulation[J]. Journal of Guangdong University of Technology, 2022, 39(05): 112-119.

参考文献

[1] 宋丹, 吴春华, 孙承波, 等. 基于滑模观测器的永磁同步电机控制系统研究[J]. 电力电子技术, 2007, 41(3): 9-11.
SONG D, WU C H, SUN C B, et al. Research of PMSM control based on sliding mode observer [J]. Power Electronics, 2007, 41(3): 9-11.
[2] 周琪, 林国怀, 马慧, 等. 输入死区下的多输入多输出系统自适应神经网络容错控制[J]. 中国科学:信息科学, 2021, 51(4): 618-632.
ZHOU Q, LIN G H, MA H, et al. Adaptive neural network fault-tolerant control for MIMO systems with dead zone inputs [J]. Scientia Sinica:Informationis, 2021, 51(4): 618-632.
[3] 杨彬, 周琪, 曹亮, 等. 具有指定性能和全状态约束的多智能体系统事件触发控制[J]. 自动化学报, 2019, 45(8): 1527-1535.
YANG B, ZHOU Q, CAO L, et al. Event-triggered control for multi-agent systems with prescribed performance and full state constraints [J]. Acta Automatica Sinica, 2019, 45(8): 1527-1535.
[4] TIAN Z, SHEN K. Research on sensorless control system of PMSM based on adaptive fuzzy sliding mode observer [J]. Journal of Physics Conference Series, 2020, 1576(1): 012050.
[5] 张小华, 刘慧贤, 丁世宏, 等. 基于扰动观测器和有限时间控制的永磁同步电机调速系统[J]. 控制与决策, 2009, 24(7): 1028-1032.
ZHANG X H, LIU H X, DING S H, et al. PMSM speed-adjusting system based on disturbance observer and finite-time control [J]. Control and Decision, 2009, 24(7): 1028-1032.
[6] 孙延军, 谭兮, 刘志真, 等. 模糊PI参数自适应永磁同步电机矢量控制系统的研究[J]. 湖南文理学院学报:自然科学版, 2013, 25(4): 53-56.
SUN Y J, TAN X, LIU Z Z, et al. Design on adaptive fuzzy control PI parameter vector control system of PMSM [J]. Journal of Hunan University of Arts and Science:Natural Science Edition, 2013, 25(4): 53-56.
[7] 李璐, 刘远, 周宇航. 永磁同步电机鲁棒模型预测控制技术综述[J]. 工业仪表与自动化装置, 2020(5): 11-15.
LI L, LIU Y, ZHOU Y H. Review of model predictive control technology for permanent magnet synchronous motors [J]. Industrial Instrumentation & Automation, 2020(5): 11-15.
[8] 张嘉洋, 巨永锋, 刘永臣, 等. 基于扩张状态观测器的永磁同步电机自适应逆控制[J]. 现代电子技术, 2021, 44(21): 96-100.
ZHANG J Y, JU Y F, LIU Y C, et al. Permanent magnet synchronous motor adaptive inverse control based on extended state observer [J]. Modern Electronics Technique, 2021, 44(21): 96-100.
[9] DING S, MEI K, LI S. A new second-order sliding mode and its application to nonlinear constrained systems [J]. IEEE Transactions on Automatic Control, 2019, 64(6): 2545-2552.
[10] 王飚, 林少军, 柯吉. 带有滑模观测器的永磁同步电机改进型PID控制[J]. 微电机, 2021, 54(7): 66-72.
WANG B, LIN S J, KE J. Improved PID control of permanent magnet synchronous motor with sliding mode observer [J]. Micromotors, 2021, 54(7): 66-72.
[11] LIU L, DING S, YU X H. Second-order sliding mode control design subject to an asymmetric output constraint [J]. Circuits and Systems II:Express Briefs, IEEE Transactions on, 2020, 68(4): 1278-1282.
[12] HOU Q, DING S. GPIO based super-twisting sliding mode control for PMSM [J]. Circuits and Systems II:Express Briefs, IEEE Transactions on, 2020, 68(2): 747-751.
[13] 梅珂琪, 马莉, 丁世宏, 等. 滑动变量受限情况下的二阶滑模控制设计[J]. 控制理论与应用, 2018(3): 414-420.
MEI K Q, MA L, DING S H, et al. Second-order sliding mode control design subject to sliding variable constraints [J]. Control Theory & Applications, 2018(3): 414-420.
[14] 程勇, 李田桃. 永磁同步电机的分数阶新型复合积分滑模控制[J]. 电气传动, 2018, 48(8): 10-12.
CHENG Y, LI T T. Novel composite integral sliding mode control based on fractional order of PMSM [J]. Electric Drive, 2018, 48(8): 10-12.
[15] TORRES-GONZA′LEZ V, SANCHEZ T, FRIDMAN L M, et al. Design of continuous twisting algorithm [J]. Automatic, 2017, 80: 119-126.
[16] 陈玄, 李祥飞, 周杨. 基于新型滑模扰动观测器的永磁同步电机控制[J]. 电机与控制应用, 2020, 47(3): 23-27.
CHEN X, LI X F, ZHOU Y. Permanent magnet synchronous motor control based on new sliding mode disturbance observer [J]. Electric Machines & Control Application, 2020, 47(3): 23-27.
[17] 周琪, 陈广登, 鲁仁全, 等. 基于干扰观测器的输入饱和多智能体系统事件触发控制[J]. 中国科学:信息科学, 2019(11): 1502-1516.
ZHOU Q, CHEN G D, LU R Q, et al. Disturbance-observer-based event-triggered control for multi-agent systems with input saturation [J]. Scientia Sinica:Informationis, 2019(11): 1502-1516.
[18] SANCHEZ T, MORENO J A. A constructive Lyapunov function design method for a class of homogeneous systems[C]// 53rd IEEE Conference on Decision and Control. Los Angeles: IEEE, 2014: 5500-5505.
[19] HOU Q, DING S, YU X H. Composite super-twisting sliding mode control design for PMSM speed regulation problem based on a novel disturbance observer [J]. IEEE Transactions on Energy Conversion, 2020, 36(4): 2591-2599.
[20] FRIDMAN, LEONID, NEGRETE, et al. Adaptive continuous twisting algorithm [J]. International Journal of Control, 2016, 89(9): 1798-1806.
[21] 王要强, 朱亚昌, 冯玉涛, 等. 永磁同步电机新型趋近律滑模控制策略[J]. 电力自动化设备, 2021, 41(1): 192-198.
WANG Y Q, ZHU Y C, FENG Y T, et al. New reaching law sliding mode control strategy for permanent magnet synchronous motor [J]. Electric Power Automation Equipment, 2021, 41(1): 192-198.
[22] 陈志翔, 高钦和. 自适应扩张状态观测器收敛性分析与应用[J]. 控制理论与应用, 2018, 35(11): 1697-1702.
CHEN Z X, GAO Q H. Convergence analysis and application of adaptive extended state observer [J]. Control Theory & Applications, 2018, 35(11): 1697-1702.
[23] YANG Y, QIN S. A new modified super-twisting algorithm with double closed-loop feedback regulation [J]. Transactions of the Institute of Measurement and Control, 2016, 39(11): 1693-1702.
[24] CASTILLO I, STEINBERGER M, FRIDMAN L, et al. Saturated super-twisting algorithm based on perturbation estimator[C]//2016 IEEE 55th Conference on Decision and Control (CDC). Las Vegas: IEEE, 2016: 7325-7328.
[25] 陈李济, 应保胜, 马强, 等. 基于模糊径向基函数神经网络的永磁同步电机滑模观测器设计[J]. 电机与控制应用, 2019, 46(6): 66-71.
CHEN L J, YING B S, MA Q, et al. Design of PMSM sliding mode observer based on fuzzy RBF neural network [J]. Electric Machines & Control Application, 2019, 46(6): 66-71.
[26] ZHANG Q, GUO H, LIU Y, et al. Robust plug-in repetitive control for speed smoothness of cascaded-PI PMSM drive [J]. Mechanical Systems and Signal Processing, 2022, 163(8): 108090.
[27] LIU S, WANG J, ZHENG Z. Research on PMSM speed control system based on adaptive fuzzy control [J]. Journal of Physics Conference Series, 2021, 1732: 012156.
[28] 张猛, 肖曦, 李永东. 基于扩展卡尔曼滤波器的永磁同步电机转速和磁链观测器[J]. 中国电机工程学报, 2007, 27(36): 36-41.
ZHANG M, XIAO X, LI Y D. Speed and flux linkage observer for permanent magnet synchronous motor based on EKF [J]. Proceedings of the CSEE, 2007, 27(36): 36-41.
[29] KIM, SEOK-KYOON, LEE, et al. Robust speed control algorithm with disturbance observer for uncertain PMSM [J]. International Journal of Electronics:Theoretical & Experimental, 2018, 105(8): 1300-1318.

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