参数未知永磁同步电机的自适应混沌同步控制

doi:10.16088/j.issn.1001-6600.2025012001

Abstract

Abstract: To solve the chaotic synchronization problem with unknown system parameters model uncertainty, and external disturbances,a new robust adaptive synchronization control strategy is proposed, which consists of two parts. Thefirst part is a nonlinear robust controller that ensures the stability of the closed-loop system and exhibits excellent robustness and fast convergence characteristics.The second part is a nonlinear adaptive law, which utilizes the estimated model uncertainty and bounds to effectively compensate for external disturbances and model uncertainty. The strategy combines adaptive control with parameter identification to enable the controller to achieve efficient synchronization under system uncertainties and perturbations by estimating the unknown parameters of the system in real time. The global asymptotic stability of the control system is proved by applying the Lyapunov stability theory, which shows that the strategy achieves the smooth convergence of the synchronization system error to zero within 0.1 s and improves the robustness of the system. Finally, the correctness and validity of the theoretical analysis are verified by simulation of the PMSM system.

Key words: permanent magnet synchronous motor (PMSM), chaotic synchronization, parameter estimation, adaptive control

CLC Number: TM341; TP273

Tao Zhenzhuo, Wei Duqu. Adaptive chaos synchronization of PMSM with unknown parameters[J].Journal of Guangxi Normal University(Natural Science Edition), 2026, 44(4): 71-78.

References

[1] 吕从鑫, 汪波, 陈静波, 等. 永磁同步电机控制策略综述与展望[J]. 电气传动自动化, 2022, 44(4):1-10. DOI: 10.3969/j.issn.1005-7277.2022.04.001.
[2] 俞沛宙, 杨刚, 杨继辉, 等. 基于自适应反推的永磁同步电动机转速控制策略[J]. 电气工程学报, 2020, 15(3): 38-43.
[3] Jiang Y J, Xu W, Mu C X, et al. Improved deadbeat predictive current control combined sliding mode strategy for PMSM drive system[J]. IEEE Transactions on Vehicular Technology, 2018, 67(1): 251-263. DOI: 10.1109/TVT.2017.2752778.
[4] 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. DOI: 10.16081/j.epae.202010005.
[5] Lu H C, Yang D X, Su Z D. Improved sliding mode control for permanent magnet synchronous motor servo system[J]. IET Power Electronics, 2023, 16(2): 169-179. DOI: 10.1049/pel2.12372.
[6] Junejo A K, Xu W, Mu C X, et al. Adaptive speed control of PMSM drive system based a new sliding-mode reaching law[J]. IEEE Transactions on Power Electronics, 2020, 35(11): 12110-12121. DOI: 10.1109/TPEL.2020.2986893.
[7] Shao K Y, Huang X Y. Finite-time synchronization of fractional-order PMSM with unknown parameters[C]//2021 33rd Chinese Control and Decision Conference (CCDC). Piscataway NJ: IEEE, 2021: 6234-6238. DOI: 10.1109/ccdc52312.2021.9601485.
[8] Wang M F, Liu K, Geng Y Y, et al. Function projective synchronization of chaotic PMSMs with certain and uncertain system parameters[C]//2021 China Automation Congress (CAC).Piscataway NJ: IEEE, 2021: 2034-2038. DOI: 10.1109/cac53003.2021.9728477.
[9] Tan Z L, Liu Y, Sun J Y, et al. Chaos synchronization control for stochastic nonlinear systems of interior PMSMs based on fixed-time stability theorem[J]. Applied Mathematics and Computation, 2022, 430: 127115. DOI: 10.1016/j.amc.2022.127115.
[10] 张荣芸, 周成龙, 时培成, 等. 基于自适应积分滑模与扰动观测的多PMSM同步控制[J]. 电力系统保护与控制, 2022, 50(20): 127-138. DOI: 10.19783/j.cnki.pspc.211615.
[11] Gao Y, Wu Y F, Wang X, et al. Characteristic model-based adaptive control with genetic algorithm estimators for four-PMSM synchronization system[J]. International Journal of Control, Automation and Systems, 2020, 18(6): 1605-1616. DOI: 10.1007/s12555-019-0421-x.
[12] Zheng W, Qu S C, Tang Q. Predefined-time synchronization for uncertain hyperchaotic system with time-delay via sliding mode control[J]. Nonlinear Dynamics, 2024, 112(24): 21969-21987. DOI: 10.1007/s11071-024-10195-9.
[13] Shi P W, Sun W C, Yang X B, et al. Master-slave synchronous control of dual-drive gantry stage with cogging force compensation[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2023, 53(1): 216-225. DOI: 10.1109/TSMC.2022.3176952.
[14] 钟国翔, 韦笃取, 张波. 分布式发电系统感性负载的远程混沌同步[J]. 计算物理, 2019, 36(6): 719-725. DOI: 10.19596/j.cnki.1001-246x.7931.
[15] 毛北行, 王东晓. 具有外扰和不确定项的分数阶非线性混沌系统的自适应滑模同步[J]. 吉林大学学报(理学版), 2020, 58(5): 1237-1242. DOI: 10.13413/j.cnki.jdxblxb.2020076.
[16] Shi X R, Wang Z L. A single adaptive controller with one variable for synchronizing two identical time delay hyperchaotic Lorenz systems with mismatched parameters[J]. Nonlinear Dynamics, 2012, 69(1): 117-125. DOI: 10.1007/s11071-011-0250-9.
[17] Kuz’menko A A. Forced sliding mode control for chaotic systems synchronization[J]. Nonlinear Dynamics, 2022,109(3): 1763-1775. DOI: 10.1007/s11071-022-07552-x.
[18] Meehan P A, Asokanthan S F. Control of chaotic motion in a dual-spin spacecraft with nutational damping[J]. Journal of Guidance, Control, and Dynamics, 2002, 25(2): 209-214. DOI: 10.2514/2.4899.
[19] 石建平, 李培生, 刘国平. 基于改进克隆选择算法的统一混沌系统同步控制与参数辨识[J]. 计算物理, 2020, 37(2): 240-252. DOI: 10.19596/j.cnki.1001-246x.8001.
[20] 张敬, 汤涛, 方文华, 等. 基于直流电机系统的广义同步混沌化[J]. 动力学与控制学报, 2020, 18(2): 91-97. DOI: 10.6052/1672-6553-2020-017.
[21] Wu J, Ma R R. Robust finite-time and fixed-time chaos synchronization of PMSMs in noise environment[J]. ISA Transactions, 2022, 119: 65-73. DOI: 10.1016/j.isatra.2021.02.034.
[22] Modiri A, Mobayen S. Adaptive terminal sliding mode control scheme for synchronization of fractional-order uncertain chaotic systems[J]. ISA Transactions, 2020, 105: 33-50. DOI: 10.1016/j.isatra.2020.05.039.
[23] Shafiq M, Ahmad I. Synchronization of chaotic satellite systems with an unknown parameter[J]. Journal of Vibration and Control, 2024, 30(17/18): 3879-3896. DOI: 10.1177/10775463231203276.
[24] 查进道, 李春彪. 基于引力场理论的混沌同步[J]. 计算物理, 2018, 35(6): 737-749. DOI: 10.19596/j.cnki.1001-246x.7758.
[25] Jiang H B. Hybrid adaptive and impulsive synchronisation of uncertain complex dynamical networks by the generalised Barbalat’s lemma[J]. IET Control Theory & Applications, 2009, 3(10): 1330-1340. DOI: 10.1049/iet-cta.2008.0335.
[26] Alsaade F W, Yao Q J, Bekiros S, et al. Chaotic attitude synchronization and anti-synchronization of master-slave satellites using a robust fixed-time adaptive controller[J]. Chaos, Solitons & Fractals, 2022, 165: 112883. DOI: 10.1016/j.chaos.2022.112883.
[27] Le T L, Huynh T T, Hong S K. Self-organizing interval type-2 fuzzy asymmetric CMAC design to synchronize chaotic satellite systems using a modified grey wolf optimizer[J]. IEEE Access, 2020, 8: 53697-53709.
[28] 陈豪昌,韦笃取.基于储备池计算的电机系统混沌预测与同步研究[J].振动与冲击,2021,40(16):199-203.DOI: 10.13465/j.cnki.jvs.2021.16.025.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

Comments

Recommended 10

[1]	TIAN Sheng, ZHAO Kailong, MIAO Jialin. Research on Automatic Driving Road Traffic Detection Algorithm Based on Improved YOLO11n Model[J]. Journal of Guangxi Normal University(Natural Science Edition), 2026, 44(1): 1 -9 .
[2]	Tang Chenghua, Yi Jianbing, Wu Xin, Xiong Wenwu, Wang Jingyong. A review of cross-domain few-shot image semantic segmentation methods[J]. Journal of Guangxi Normal University(Natural Science Edition), 2026, 44(4): 1 -27 .
[3]	Tian Sheng, Xie Hualin, Chen Dong. Energy management strategy for fuel cell vehicles based on improved deep reinforcement learning[J]. Journal of Guangxi Normal University(Natural Science Edition), 2026, 44(4): 28 -45 .
[4]	Zhang Xu, Liu Didi. Intelligent charging/discharging scheduling strategy for electric vehicles based on TD3 algorithm[J]. Journal of Guangxi Normal University(Natural Science Edition), 2026, 44(4): 46 -55 .
[5]	Yan Yuanyang, Xie Lirong, Zhang Longjun, Ren Juan, Huang Chenchen, Hu Chao. Ultra-short-term wind power prediction model based on multi-objective optimization[J]. Journal of Guangxi Normal University(Natural Science Edition), 2026, 44(4): 56 -70 .
[6]	Wang Chenglong, Song Qiang, Li Wenfeng, Zhang Shimin. PAM-DETR: a small-object defect detection algorithm for medical gloves based on improved RT-DETR[J]. Journal of Guangxi Normal University(Natural Science Edition), 2026, 44(4): 79 -95 .
[7]	Wei Wujie, Chen Qingfeng. Fair graph learning via view disentanglement and counterfactual augmentation[J]. Journal of Guangxi Normal University(Natural Science Edition), 2026, 44(4): 96 -106 .
[8]	Cao Feng, Wu Shukang, Zhu Weizhen, Yi Jianbing. Evaluation of contradiction separation clause based on multi-criteria decision making[J]. Journal of Guangxi Normal University(Natural Science Edition), 2026, 44(4): 107 -120 .
[9]	Luo Cheng, Huang Wentao, He Dongping, Zhang Yue. Weakly persistent centers for a ten-parameter family of complex planar cubic polynomial differential systems[J]. Journal of Guangxi Normal University(Natural Science Edition), 2026, 44(4): 121 -129 .
[10]	Wang Zhanxin, Wei Yuming. Analysis of a deterministic and stochastic SIS-SIRS epidemic model with saturated incidence rates[J]. Journal of Guangxi Normal University(Natural Science Edition), 2026, 44(4): 130 -146 .

Adaptive chaos synchronization of PMSM with unknown parameters

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 2

Metrics

Comments

Recommended 10

[1]	MA Qianran, WEI Duqu. Chaos Prediction of a Motor System with Two Linearly Coupled Reservoir Computers [J]. Journal of Guangxi Normal University(Natural Science Edition), 2023, 41(6): 1-7.
[2]	HU Jinming, WEI Duqu. Research on Generalized Sychronization of Fractional-order PMSM [J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(6): 14-20.