Authors

Youyuan Chen, Haisheng Yu, Xiangxiang Meng, Hao Ding, Xunkai Gao

Abstract

In this paper, a novel cooperative controller combining Linear Quadratic optimal control based on feedback linearization (LQ-FL) and state error port-Hamiltonian (EPH) with integral term is proposed for permanent magnet synchronous motor. Firstly, the LQ-FL is presented to ensure rapid dynamic performance, and the EPH method makes up for the shortcomings of the system in steady-state performance. The integral term is utilized to eliminate the position tracking steady-state error. Secondly, the Gaussian function is utilized to coordinate the two controllers and make them play their respective superiorities. Then, a nonlinear disturbance observer is used to resolve the total disturbance caused by parameter changes, modeling errors and external disturbance. Finally, the effectiveness and robustness of the proposed controller are verified by simulation and experiments.

Keywords

Permanent magnet synchronous motor; Feedback linearization; EPH; Cooperative control; NDOB

Citation

  • Journal: Journal of Electrical Engineering & Technology
  • Year: 2024
  • Volume: 19
  • Issue: 3
  • Pages: 1439–1457
  • Publisher: Springer Science and Business Media LLC
  • DOI: 10.1007/s42835-023-01624-7

BibTeX

@article{Chen_2023,
  title={{Cooperative Control of LQ-Feedback Linearization and Error Port-Hamiltonian System for PMSM with NDOB}},
  volume={19},
  ISSN={2093-7423},
  DOI={10.1007/s42835-023-01624-7},
  number={3},
  journal={Journal of Electrical Engineering & Technology},
  publisher={Springer Science and Business Media LLC},
  author={Chen, Youyuan and Yu, Haisheng and Meng, Xiangxiang and Ding, Hao and Gao, Xunkai},
  year={2023},
  pages={1439--1457}
}

Download the bib file

References

  • Wang, X. et al. Fault-Tolerant Control of Dual Three-Phase PMSM Drives With Minimized Copper Loss. IEEE Transactions on Power Electronics vol. 36 12938–12953 (2021) – 10.1109/tpel.2021.3076509
  • Xu, Y., Hu, M., Yan, Z., Zhang, Y. & Ma, H. A Three-Vector-Based Model Predictive Flux Control for PMSM Drives. Journal of Electrical Engineering & Technology vol. 16 2673–2684 (2021) – 10.1007/s42835-021-00815-4
  • Meng, X., Yu, H. & Zhang, J. An EPCH Control Strategy for Complex Nonlinear Systems with Actuator Saturation and Disturbances. Information Sciences vol. 625 639–655 (2023) – 10.1016/j.ins.2023.01.005
  • Meng, X., Yu, H., Zhang, J. & Yang, Q. Adaptive EPCH strategy for nonlinear systems with parameters uncertainty and disturbances. Nonlinear Dynamics vol. 111 7511–7524 (2023) – 10.1007/s11071-023-08243-x
  • Meng, X., Yu, H., Zhang, J. & Yan, K. Optimized control strategy based on EPCH and DBMP algorithms for quadruple-tank liquid level system. Journal of Process Control vol. 110 121–132 (2022) – 10.1016/j.jprocont.2021.12.008
  • Zhang, L., Chen, Z., Yu, X., Yang, J. & Li, S. Sliding-Mode-Based Robust Output Regulation and Its Application in PMSM Servo Systems. IEEE Transactions on Industrial Electronics vol. 70 1852–1860 (2023) – 10.1109/tie.2022.3163536
  • Tian, M., Wang, B., Yu, Y., Dong, Q. & Xu, D. Robust Adaptive Resonant Controller for PMSM Speed Regulation Considering Uncertain Periodic and Aperiodic Disturbances. IEEE Transactions on Industrial Electronics vol. 70 3362–3372 (2023) – 10.1109/tie.2022.3177759
  • Tan, L. N., Cong, T. P. & Cong, D. P. Neural Network Observers and Sensorless Robust Optimal Control for Partially Unknown PMSM With Disturbances and Saturating Voltages. IEEE Transactions on Power Electronics vol. 36 12045–12056 (2021) – 10.1109/tpel.2021.3071465
  • Li, P., Xiong, L., Wu, F., Ma, M. & Wang, J. Sliding mode controller based on feedback linearization for damping of sub-synchronous control interaction in DFIG-based wind power plants. International Journal of Electrical Power & Energy Systems vol. 107 239–250 (2019) – 10.1016/j.ijepes.2018.11.020
  • Rai, R., Shukla, S. & Singh, B. Reactive Power Based MRAS for Speed Estimation of Solar Fed Induction Motor With Improved Feedback Linearization for Water Pumping. IEEE Transactions on Industrial Informatics vol. 16 4714–4725 (2020) – 10.1109/tii.2019.2950094
  • Awan, H. A. A., Hinkkanen, M., Bojoi, R. & Pellegrino, G. Stator-Flux-Oriented Control of Synchronous Motors: A Systematic Design Procedure. IEEE Transactions on Industry Applications vol. 55 4811–4820 (2019) – 10.1109/tia.2019.2927316
  • Alfehaid, A. A., Strangas, E. G. & Khalil, H. K. Speed Control of Permanent Magnet Synchronous Motor With Uncertain Parameters and Unknown Disturbance. IEEE Transactions on Control Systems Technology vol. 29 2639–2646 (2021) – 10.1109/tcst.2020.3026569
  • P Li. Li P, Wang J, Wu F et al (2019) Nonlinear controller based on state feedback linearization for series-compensated DFIG-based wind power plants to mitigate subsynchronous control interaction[J]. Int T Electr Energy 29(1):e2682 (2019)
  • El-Sousy, F. F. M. & Abuhasel, K. A. Nonlinear Robust Optimal Control via Adaptive Dynamic Programming of Permanent-Magnet Linear Synchronous Motor Drive for Uncertain Two-Axis Motion Control System. IEEE Transactions on Industry Applications vol. 56 1940–1952 (2020) – 10.1109/tia.2019.2961637
  • Madanzadeh, S., Abedini, A., Radan, A. & Ro, J.-S. Application of quadratic linearization state feedback control with hysteresis reference reformer to improve the dynamic response of interior permanent magnet synchronous motors. ISA Transactions vol. 99 167–190 (2020) – 10.1016/j.isatra.2019.08.067
  • Ai, C. et al. Bivariate grid-connection speed control of hydraulic wind turbines. Journal of the Franklin Institute vol. 358 296–320 (2021) – 10.1016/j.jfranklin.2020.10.009
  • Li, H., Wang, Z., Xu, Z., Wang, X. & Hu, Y. Feedback Linearization Based Direct Torque Control for IPMSMs. IEEE Transactions on Power Electronics vol. 36 3135–3148 (2021) – 10.1109/tpel.2020.3012107
  • Ryalat, M., Laila, D. S. & ElMoaqet, H. Adaptive Interconnection and Damping Assignment Passivity Based Control for Underactuated Mechanical Systems. International Journal of Control, Automation and Systems vol. 19 864–877 (2020) – 10.1007/s12555-019-1019-z
  • Liu, X. & Liao, X. Fixed-Time $\mathcal {H}_{\infty }$ Control for Port-Controlled Hamiltonian Systems. IEEE Transactions on Automatic Control vol. 64 2753–2765 (2019) – 10.1109/tac.2018.2874768
  • Mungporn, P. et al. Modeling and Control of Multiphase Interleaved Fuel-Cell Boost Converter Based on Hamiltonian Control Theory for Transportation Applications. IEEE Transactions on Transportation Electrification vol. 6 519–529 (2020) – 10.1109/tte.2020.2980193
  • Gui, Y., Chung, C. C., Blaabjerg, F. & Taul, M. G. Dynamic Extension Algorithm-Based Tracking Control of STATCOM Via Port-Controlled Hamiltonian System. IEEE Transactions on Industrial Informatics vol. 16 5076–5087 (2020) – 10.1109/tii.2019.2957038
  • Pang, S. et al. Stability Improvement of Cascaded Power Conversion Systems Based on Hamiltonian Energy Control Theory. IEEE Transactions on Industry Applications vol. 57 1081–1093 (2021) – 10.1109/tia.2020.3038355
  • Sharf, M., Koch, A., Zelazo, D. & Allgower, F. Model-Free Practical Cooperative Control for Diffusively Coupled Systems. IEEE Transactions on Automatic Control vol. 67 754–766 (2022) – 10.1109/tac.2021.3056582
  • Dieterle, O., Greiner, T. & Heidrich, P. Feedforward Compensation of Torque Ripples in Dual Three-Phase PMSM Fed From Separate DC Links With Different Voltage Levels. IEEE Transactions on Industrial Electronics vol. 68 9036–9045 (2021) – 10.1109/tie.2020.3026293
  • Bhattacharjee, S. et al. Real-Time SIL Validation of a Novel PMSM Control Based on Deep Deterministic Policy Gradient Scheme for Electrified Vehicles. IEEE Transactions on Power Electronics vol. 37 9000–9011 (2022) – 10.1109/tpel.2022.3153845
  • Huang, M., Deng, Y., Li, H. & Wang, J. Torque Ripple Suppression of PMSM Using Fractional-Order Vector Resonant and Robust Internal Model Control. IEEE Transactions on Transportation Electrification vol. 7 1437–1453 (2021) – 10.1109/tte.2021.3053063
  • Zhao, Y. & Yu, H. Cooperative control of deadbeat predictive and state error port‐controlled Hamiltonian method for permanent magnet synchronous motor drives. IET Electric Power Applications vol. 15 1343–1357 (2021) – 10.1049/elp2.12104
  • Yu, K. & Wang, Z. Improved Deadbeat Predictive Current Control of Dual Three-Phase Variable-Flux PMSM Drives With Composite Disturbance Observer. IEEE Transactions on Power Electronics vol. 37 8310–8321 (2022) – 10.1109/tpel.2022.3141375
  • Wang, Y., Yu, H. & Liu, Y. Speed-Current Single-Loop Control With Overcurrent Protection for PMSM Based on Time-Varying Nonlinear Disturbance Observer. IEEE Transactions on Industrial Electronics vol. 69 179–189 (2022) – 10.1109/tie.2021.3051594
  • Xu, B., Zhang, L. & Ji, W. Improved Non-Singular Fast Terminal Sliding Mode Control With Disturbance Observer for PMSM Drives. IEEE Transactions on Transportation Electrification vol. 7 2753–2762 (2021) – 10.1109/tte.2021.3083925
  • Meng, X. et al. Disturbance Observer-Based Feedback Linearization Control for a Quadruple-Tank Liquid Level System. ISA Transactions vol. 122 146–162 (2022) – 10.1016/j.isatra.2021.04.021
  • Ortega, R., van der Schaft, A., Maschke, B. & Escobar, G. Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica vol. 38 585–596 (2002) – 10.1016/s0005-1098(01)00278-3
  • Yu, H., Yu, J., Liu, J. & Song, Q. Nonlinear control of induction motors based on state error PCH and energy-shaping principle. Nonlinear Dynamics vol. 72 49–59 (2012) – 10.1007/s11071-012-0689-3