Authors

Xiangxiang Meng, Haisheng Yu, Jie Zhang, Shubo Wang, Qing Yang

Abstract

This article investigates the high-speed and high-precision control problems of permanent magnet synchronous motor (PMSM) servo system under actuator faults, input constraints, and unknown load conditions. From the perspective of signal processing and energy transformation, consider the PMSM servo system as a unified entity of multiport signal processing and energy transformation. Then, a signal processing-based fixed time integral-type sliding mode control algorithm is designed to achieve fast dynamic trajectory regulation in dynamic process. By using the energy transformation-based fixed time error port-controlled Hamiltonian control method, the precise trajectory tracking and energy loss optimization control can be realized in steady-state process. Furthermore, a cooperative optimization control strategy based on convex combination mechanism is proposed, which fully utilizing the advantages of signal processing-based control and energy transformation-based control. A fixed time input constraint compensation mechanism is introduced to address the problem of input constraints. In addition, a fixed time-extended state observer is designed to handle actuator faults and unknown load problems, which can quickly observe faults and unknown load states, effectively improving fault tolerance and multisource uncertainties suppression performances of system. Finally, utilizing the Lyapunov criterion, the stability of the entire closed-loop system is discussed, and a large number of experimental results verified the effectiveness of the proposed strategy.

Citation

  • Journal: IEEE Transactions on Power Electronics
  • Year: 2025
  • Volume: 40
  • Issue: 11
  • Pages: 16469–16482
  • Publisher: Institute of Electrical and Electronics Engineers (IEEE)
  • DOI: 10.1109/tpel.2025.3588005

BibTeX

@article{Meng_2025,
  title={{Fixed Time Cooperative Control for PMSM Servo Systems With Multisource Uncertainties and Faults}},
  volume={40},
  ISSN={1941-0107},
  DOI={10.1109/tpel.2025.3588005},
  number={11},
  journal={IEEE Transactions on Power Electronics},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Meng, Xiangxiang and Yu, Haisheng and Zhang, Jie and Wang, Shubo and Yang, Qing},
  year={2025},
  pages={16469--16482}
}

Download the bib file

References

  • Shihua Li, Zhigang Liu (2009) Adaptive Speed Control for Permanent-Magnet Synchronous Motor System With Variations of Load Inertia. IEEE Trans Ind Electron 56(8):3050–3059. https://doi.org/10.1109/tie.2009.202465 – 10.1109/tie.2009.2024655
  • Cao H, Deng Y, Zuo Y, Liu X, Wang J, Lee CHT (2025) A Variable Structure ADRC for Enhanced Disturbance Rejection and Improved Noise Suppression of PMSM Speed System. IEEE Trans Ind Electron 72(5):4481–4495. https://doi.org/10.1109/tie.2024.346861 – 10.1109/tie.2024.3468613
  • Zhang J, Jiang W, Ge SS (2023) Adaptive Fuzzy Control for Uncertain Strict-Feedback Nonlinear Systems With Full-State Constraints Using Disturbance Observer. IEEE Trans Syst Man Cybern, Syst 53(10):6145–6156. https://doi.org/10.1109/tsmc.2023.328056 – 10.1109/tsmc.2023.3280569
  • Deng W, Zhang Q, Yan B, Li S (2025) Direct Torque Control of PMSM Drives for Common-Mode Voltage Reduction and Steady-State Performance Improvement. IEEE Trans Transp Electrific 11(1):1629–1639. https://doi.org/10.1109/tte.2024.340821 – 10.1109/tte.2024.3408210
  • Ortega R, Monshizadeh N, Monshizadeh P, Bazylev D, Pyrkin A (2018) Permanent magnet synchronous motors are globally asymptotically stabilizable with PI current control. Automatica 98:296–301. https://doi.org/10.1016/j.automatica.2018.09.03 – 10.1016/j.automatica.2018.09.031
  • Luo Y, Yang K, Zheng Y (2023) Feedback Linearization-Based Direct Torque Control for Asymmetrical Six-Phase PMSM Motor With Back EMF Harmonics Compensation. IEEE J Emerg Sel Topics Power Electron 11(5):5145–5155. https://doi.org/10.1109/jestpe.2023.329292 – 10.1109/jestpe.2023.3292922
  • Wang G, Wang D, Lin H, Wang J, Yi X (2024) A DC Error Suppression Adaptive Second-Order Backstepping Observer for Sensorless Control of PMSM. IEEE Trans Power Electron 39(6):6664–6676. https://doi.org/10.1109/tpel.2024.336732 – 10.1109/tpel.2024.3367326
  • Cao H, Deng Y, Liu J, Zuo Y, Liu X, Wang H, Lee CHT (2025) Improved Deadbeat Predictive Current Control of PMSM Drives With Repetitive Control-Based Disturbance Correction Observer. IEEE Trans Power Electron 40(1):801–812. https://doi.org/10.1109/tpel.2024.348231 – 10.1109/tpel.2024.3482315
  • Hou Q, Ding S, Yu X (2021) Composite Super-Twisting Sliding Mode Control Design for PMSM Speed Regulation Problem Based on a Novel Disturbance Observer. IEEE Trans Energy Convers 36(4):2591–2599. https://doi.org/10.1109/tec.2020.298505 – 10.1109/tec.2020.2985054
  • Guo X, Huang S, Peng Y, Lu K, Huang S, Luo D, Wu X (2023) An Improved Integral Sliding Mode Control for PMSM Drives Based on New Variable Rate Reaching Law With Adaptive Reduced-Order PI Observer. IEEE Trans Transp Electrific 9(3):4503–4516. https://doi.org/10.1109/tte.2023.324245 – 10.1109/tte.2023.3242452
  • Chen L, Jin Z, Shao K, Wang H, Wang G, Iu HH-C, Fernando T (2024) Sensorless Fixed-Time Sliding Mode Control of PMSM Based on Barrier Function Adaptive Super-Twisting Observer. IEEE Trans Power Electron 39(3):3037–3051. https://doi.org/10.1109/tpel.2023.333674 – 10.1109/tpel.2023.3336743
  • Lin X, Wu C, Yao W, Liu Z, Shen X, Xu R, Sun G, Liu J (2023) Observer-Based Fixed-Time Control for Permanent-Magnet Synchronous Motors With Parameter Uncertainties. IEEE Trans Power Electron 38(4):4335–4344. https://doi.org/10.1109/tpel.2022.322603 – 10.1109/tpel.2022.3226033
  • Liu X, Deng Y, Wang J, Li H, Cao H (2024) Fixed-Time Generalized Active Disturbance Rejection With Quasi-Resonant Control for PMSM Speed Disturbances Suppression. IEEE Trans Power Electron 39(6):6903–6918. https://doi.org/10.1109/tpel.2024.337718 – 10.1109/tpel.2024.3377186
  • Wang S, Sun C, Chen Q, He H (2025) Composite Learning Fixed-Time Control for Nonlinear Servo Systems With State Constraints and Unknown Dynamics. IEEE Trans Syst Man Cybern, Syst 55(3):2332–2342. https://doi.org/10.1109/tsmc.2024.352211 – 10.1109/tsmc.2024.3522116
  • Liu J, Liu Z, Chen W, Su H (2022) Passivity-Based Control for Interleaved Double Dual Boost Converters in DC Microgrids Supplying Constant Power Loads. IEEE Trans Transp Electrific 8(2):1642–1655. https://doi.org/10.1109/tte.2021.312680 – 10.1109/tte.2021.3126808
  • Uddin MN, Zhai Z, Amin IK (2020) Port Controlled Hamilton With Dissipation-Based Speed Control of IPMSM Drive. IEEE Trans Power Electron 35(2):1742–1752. https://doi.org/10.1109/tpel.2019.291867 – 10.1109/tpel.2019.2918679
  • Yu H, Yu J, Liu J, Song Q (2012) Nonlinear control of induction motors based on state error PCH and energy-shaping principle. Nonlinear Dyn 72(1–2):49–59. https://doi.org/10.1007/s11071-012-0689-10.1007/s11071-012-0689-3
  • Lv C, Wang Z, Zhang Y, Chen J, Yu H (2024) Cooperative formation control of multiple unmanned surface vessels based on state error port control Hamiltonian framework. Ocean Engineering 313:119410. https://doi.org/10.1016/j.oceaneng.2024.1194110.1016/j.oceaneng.2024.119410
  • Meng X, Yu H, Zhang J, Yang Q, Fu C (2025) Adaptive Fault-Tolerant Cooperative Optimization Control for PMSM Servo System With Input Saturation and Multisource Disturbances. IEEE Trans Power Electron 40(5):6506–6518. https://doi.org/10.1109/tpel.2024.351604 – 10.1109/tpel.2024.3516047
  • Borja P, Ortega R, Scherpen JMA (2021) New Results on Stabilization of Port-Hamiltonian Systems via PID Passivity-Based Control. IEEE Trans Automat Contr 66(2):625–636. https://doi.org/10.1109/tac.2020.29867310.1109/tac.2020.2986731
  • Yin Y, Liu L, Vazquez S, Xu R, Dong Z, Liu J, Leon JI, Wu L, Franquelo LG (2023) Disturbance and Uncertainty Attenuation for Speed Regulation of PMSM Servo System Using Adaptive Optimal Control Strategy. IEEE Trans Transp Electrific 9(2):3410–3420. https://doi.org/10.1109/tte.2022.322707 – 10.1109/tte.2022.3227070
  • Tian M, Wang B, Yu Y, Dong Q, Xu D (2024) Adaptive Active Disturbance Rejection Control for Uncertain Current Ripples Suppression of PMSM Drives. IEEE Trans Ind Electron 71(3):2320–2331. https://doi.org/10.1109/tie.2023.326504 – 10.1109/tie.2023.3265045
  • Wang S, Chen Q (2025) RISE-Based Prescribed Performance Control for Multimotor Driving Systems. IEEE Trans Ind Inf 21(7):5471–5479. https://doi.org/10.1109/tii.2025.355601 – 10.1109/tii.2025.3556017
  • Chen Q, Li Y, Hong Y, Shi H (2024) Prescribed-Time Robust Repetitive Learning Control for PMSM Servo Systems. IEEE Trans Ind Electron 71(11):14753–14763. https://doi.org/10.1109/tie.2024.336375 – 10.1109/tie.2024.3363757
  • Yang J, Li T, Liu C, Li S, Chen W-H (2020) Nonlinearity Estimator-Based Control of A Class of Uncertain Nonlinear Systems. IEEE Trans Automat Contr 65(5):2230–2236. https://doi.org/10.1109/tac.2019.294056 – 10.1109/tac.2019.2940567
  • Yang J, Chen W-H, Li S, Guo L, Yan Y (2017) Disturbance/Uncertainty Estimation and Attenuation Techniques in PMSM Drives—A Survey. IEEE Trans Ind Electron 64(4):3273–3285. https://doi.org/10.1109/tie.2016.258341 – 10.1109/tie.2016.2583412
  • Meng X, Yu H, Zhang J, Yang Q (2023) Adaptive EPCH strategy for nonlinear systems with parameters uncertainty and disturbances. Nonlinear Dyn 111(8):7511–7524. https://doi.org/10.1007/s11071-023-08243-10.1007/s11071-023-08243-x
  • Meng X, Yu H, Zhang J, Yang Q (2025) Smooth switching mechanism-based adaptive integral terminal SMC for PMSM servo system with stator voltage saturation and unknown disturbances. Control Theory Technol 23(2):294–309. https://doi.org/10.1007/s11768-025-00249- – 10.1007/s11768-025-00249-7
  • Zhang L, Chen Z, Yu X, Yang J, Li S (2023) Sliding-Mode-Based Robust Output Regulation and Its Application in PMSM Servo Systems. IEEE Trans Ind Electron 70(2):1852–1860. https://doi.org/10.1109/tie.2022.316353 – 10.1109/tie.2022.3163536
  • He L, Wang F, Rodríguez J, Heldwein ML (2024) A Robust Predefined-Time Sliding Mode Predictive Control for SPMSM Speed Regulation Systems Using an Ultralocal Model. IEEE Trans Ind Electron 71(8):8406–8415. https://doi.org/10.1109/tie.2023.331974 – 10.1109/tie.2023.3319745
  • Dai B, Sun J, Yang J, Li S (2024) Dynamic Event-Triggered Disturbance Rejection Control for Speed Regulation of Networked PMSM. IEEE Trans Ind Inf 20(4):6436–6445. https://doi.org/10.1109/tii.2023.334289 – 10.1109/tii.2023.3342898
  • Liu X, Deng Y, Cao H, Wang J, Li H, Lee CHT (2025) Modified ADRC Based on Quasi-Resonant Fixed-Time-Convergent Extended State Observer for PMSM Current Regulation. IEEE Trans Transp Electrific 11(1):1416–1430. https://doi.org/10.1109/tte.2024.340594 – 10.1109/tte.2024.3405948
  • Vadivel R, Joo YH (2021) Reliable Fuzzy H∞ Control for Permanent Magnet Synchronous Motor Against Stochastic Actuator Faults. IEEE Trans Syst Man Cybern, Syst 51(4):2232–2245. https://doi.org/10.1109/tsmc.2019.295700 – 10.1109/tsmc.2019.2957001
  • Ma L, Wang Z, Zhang H, Wang Q (2025) Adaptive Neural Network Constrained Fault Tolerant Control for Nonlinear Systems With Actuator Failures and Saturation. IEEE Trans Automat Sci Eng 22:17333–17340. https://doi.org/10.1109/tase.2024.338178 – 10.1109/tase.2024.3381780
  • Xu W-D, Guo X-G, Wang J-L, Che W-W, Wu Z-G (2024) Nonlinear Disturbance Observer-Based Fault-Tolerant Sliding-Mode Control for 2-D Plane Vehicular Platoon With UTVFD and ANAS. IEEE Trans Cybern 54(4):2050–2061. https://doi.org/10.1109/tcyb.2022.322249 – 10.1109/tcyb.2022.3222496
  • Tan LN, Pham TC (2022) Optimal Tracking Control for PMSM With Partially Unknown Dynamics, Saturation Voltages, Torque, and Voltage Disturbances. IEEE Trans Ind Electron 69(4):3481–3491. https://doi.org/10.1109/tie.2021.307589 – 10.1109/tie.2021.3075892
  • Zhang J, Ren W, Sun X-M (2024) Extended-State-Observer-Based Nonlinear Control for PMSM Servo Systems With Current Constraints and Voltage Saturations. IEEE Trans Transp Electrific 10(2):2713–2726. https://doi.org/10.1109/tte.2023.330417 – 10.1109/tte.2023.3304173
  • Wen C, Zhou J, Liu Z, Su H (2011) Robust Adaptive Control of Uncertain Nonlinear Systems in the Presence of Input Saturation and External Disturbance. IEEE Trans Automat Contr 56(7):1672–1678. https://doi.org/10.1109/tac.2011.212273 – 10.1109/tac.2011.2122730
  • Gao W, Selmic RR (2006) Neural Network Control of a Class of Nonlinear Systems With Actuator Saturation. IEEE Trans Neural Netw 17(1):147–156. https://doi.org/10.1109/tnn.2005.86341 – 10.1109/tnn.2005.863416
  • Tian B, Zuo Z, Yan X, Wang H (2017) A fixed-time output feedback control scheme for double integrator systems. Automatica 80:17–24. https://doi.org/10.1016/j.automatica.2017.01.00 – 10.1016/j.automatica.2017.01.007
  • Zhang C, Chang L, Xing L, Zhang X (2023) Fixed-Time Stabilization of a Class of Strict-Feedback Nonlinear Systems via Dynamic Gain Feedback Control. IEEE/CAA J Autom Sinica 10(2):403–410. https://doi.org/10.1109/jas.2023.12340 – 10.1109/jas.2023.123408
  • Jin X (2019) Adaptive Fixed-Time Control for MIMO Nonlinear Systems With Asymmetric Output Constraints Using Universal Barrier Functions. IEEE Trans Automat Contr 64(7):3046–3053. https://doi.org/10.1109/tac.2018.287487 – 10.1109/tac.2018.2874877