Design, Modeling, and Simulation of A New Adaptive Backstepping Controller for Permanent Magnet Linear Synchronous Motor: A Comparative Analysis

(1) Yahiaoui Maamar Mail (University of Mascara, Algeria)
(2) I. M. Elzein Mail (University of Doha for Science and Technology, Qatar)
(3) Hashim Alnami Mail (Jazan University, Saudi Arabia)
(4) Brahimi Brahim Mail (Ahuntcis College, Canada)
(5) Afif Benameur Mail (University of Tlemcen, Algeria)
(6) Horch Mohamed Mail (University of Tlemcen, Algeria)
(7) * Mohamed Metwally Mahmoud Mail (Aswan University, Egypt)
*corresponding author

Abstract


In this paper, a nonlinear adaptive position controller for a permanent magnet linear synchronous motor based on a newly developed adaptive backstepping control approach is discussed and analyzed. The backstepping approach is a systematic method; it is used for non-linear systems such as the linear synchronous motor. This controller combines the notion of the Lyapunov function, which is based on the definition of a positive energy function; to ensure stability in the sense of Lyapunov, it is necessary to ensure the negativity of this function by a judicious choice of a control variable called virtual control. But this method is mainly based on the mathematical model of the permanent magnet linear synchronous machine (PMLSM) which makes this control sensitive to the variation of the parameters of the machine, to overcome this problem an adaptive control was proposed, the adaptive backstepping control approach is utilized to obtain the robustness for mismatched parameter uncertainties and disturbance load force. The overall stability of the system controller and adaptive low is shown using the Lyapunov theorem. The validity of the proposed controller is supported by computer simulation results.


Keywords


INC MPPT; Fuzzy Logic; Variable Step Size; Direct Control of PV Panel; Boost DC-DC Converter

   

DOI

https://doi.org/10.31763/ijrcs.v5i1.1425
      

Article metrics

10.31763/ijrcs.v5i1.1425 Abstract views : 114 | PDF views : 22

   

Cite

   

Full Text

Download

References


[1] M. M. Mahmoud, “Improved current control loops in wind side converter with the support of wild horse optimizer for enhancing the dynamic performance of PMSG-based wind generation system,” International Journal of Modelling and Simulation, vol. 43, no. 6, pp. 952-966, 2023, https://doi.org/10.1080/02286203.2022.2139128.

[2] A. M. Ewais, A. M. Elnoby, T. H. Mohamed, M. M. Mahmoud, Y. Qudaih, and A. M. Hassan, “Adaptive frequency control in smart microgrid using controlled loads supported by real-time implementation,” PLoS One, vol. 18, no. 4, p. e0283561, 2023, https://doi.org/10.1371/journal.pone.0283561.

[3] B. S. Atia et al., “Applications of Kepler Algorithm-Based Controller for DC Chopper: Towards Stabilizing Wind Driven PMSGs under Nonstandard Voltages,” Sustainability, vol. 16, no. 7, p. 2952, 2024, https://doi.org/10.3390/su16072952.

[4] W. Yang, Y. Fan, D. Xu, B. Jiang, X. G. Yan, and W. Huang, “An improved neural networks-based vector control approach for permanent magnet linear synchronous motor,” Journal of the Franklin Institute, vol. 361, no. 4, p. 106565, 2024, https://doi.org/10.1016/j.jfranklin.2023.12.026.

[5] L. Yu, S. Chang, J. He, H. Sun, J. Huang, and H. Tian, “Electromagnetic Design and Analysis of Permanent Magnet Linear Synchronous Motor,” Energies, vol. 15, no. 15, p. 5441, 2022, https://doi.org/10.3390/en15155441.

[6] M. M. Mahmoud, I. Benlaloui, B. Benbouya, and N. F. Ibrahim, “Investigations on Grid-Connected DFIWGs Development and Performance Analysis with the Support of Crowbar and STATCOM,” Control Systems and Optimization Letters, vol. 2, no. 2, pp. 191-197, 2024, https://doi.org/10.59247/csol.v2i2.109.

[7] Z. Li, S. Zhou, Y. Xiao and L. Wang, "Sensorless Vector Control of Permanent Magnet Synchronous Linear Motor Based on Self-Adaptive Super-Twisting Sliding Mode Controller," IEEE Access, vol. 7, pp. 44998-45011, 2019, https://doi.org/10.1109/ACCESS.2019.2909308.

[8] J. Ye, J. Yang, D. Xie, B. Huang and H. Cai, "Strong Robust and Optimal Chaos Control for Permanent Magnet Linear Synchronous Motor," IEEE Access, vol. 7, pp. 57907-57916, 2019, https://doi.org/10.1109/ACCESS.2019.2913900.

[9] F. F. M. El-Sousy and K. A. Abuhasel, "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, no. 2, pp. 1940-1952, 2020, https://doi.org/10.1109/TIA.2019.2961637.

[10] X. Wang et al., “A review on disturbance analysis and suppression for permanent magnet linear synchronous motor,” Actuators, vol. 10, no. 4, p. 77, 2021, https://doi.org/10.3390/act10040077.

[11] B. Benbouya et al., “Dynamic Assessment and Control of a Dual Star Induction Machine State Dedicated to an Electric Vehicle Under Short- Circuit Defect,” International Journal of Robotics and Control Systems, vol. 4, no. 4, pp. 1731–1745, 2024, https://doi.org/10.31763/ijrcs.v4i4.1557.

[12] S. -Y. Chen, H. -H. Chiang, T. -S. Liu and C. -H. Chang, "Precision Motion Control of Permanent Magnet Linear Synchronous Motors Using Adaptive Fuzzy Fractional-Order Sliding-Mode Control," IEEE/ASME Transactions on Mechatronics, vol. 24, no. 2, pp. 741-752, 2019, https://doi.org/10.1109/TMECH.2019.2892401.

[13] C. Ting, Y. Chang, B. Shi, and J. Lieu, “Adaptive backstepping control for permanent magnet linear synchronous motor servo drive,” IET Electric Power Applications, vol. 9, no. 3, pp. 265–279, 2015, https://doi.org/10.1049/iet-epa.2014.0246.

[14] Y. Chen, H. Yu, X. Meng, H. Ding, and X. Gao, “Cooperative Control of LQ-Feedback Linearization and Error Port-Hamiltonian System for PMSM with NDOB,” Journal of Electrical Engineering & Technology, vol. 19, no. 3, pp. 1439–1457, 2024, https://doi.org/10.1007/s42835-023-01624-7.

[15] B. H. B. Boff, J. V. Flores, and P. R. Eckert, “Multi-loop resonant control applied to linear permanent magnet synchronous motors for periodic position tracking,” Mechatronics, vol. 99, p. 103163, 2024, https://doi.org/10.1016/j.mechatronics.2024.103163.

[16] A. Elhaj, M. Alzayed, and H. Chaoui, “Multiparameter Estimation-Based Sensorless Adaptive Direct Voltage MTPA Control for IPMSM Using Fuzzy Logic MRAS,” Machines, vol. 11, no. 9, p. 861, 2023, https://doi.org/10.3390/machines11090861.

[17] F. Lin, P. Shen and Y. Kung, "Adaptive wavelet neural network control for linear synchronous motor servo drive," IEEE Transactions on Magnetics, vol. 41, no. 12, pp. 4401-4412, 2005, https://doi.org/10.1109/TMAG.2005.858511.

[18] F. F. M. El-Sousy and K. A. Abuhasel, "Adaptive Nonlinear Disturbance Observer Using a Double-Loop Self-Organizing Recurrent Wavelet Neural Network for a Two-Axis Motion Control System," IEEE Transactions on Industry Applications, vol. 54, no. 1, pp. 764-786, 2018, https://doi.org/10.1109/TIA.2017.2763584.

[19] F. Lin and P. Shen, "Robust Fuzzy Neural Network Sliding-Mode Control for Two-Axis Motion Control System," IEEE Transactions on Industrial Electronics, vol. 53, no. 4, pp. 1209-1225, 2006, https://doi.org/10.1109/TIE.2006.878312.

[20] R. A. Hasyim, “Peramalan Penjualan Barang Menggunakan Metode Fuzzy Time Series pada TB.AA Jaya di Bangunrejo,” Etheses UIN Malang, vol. 14, no. 1, pp. 1–13, 2021, http://etheses.uin-malang.ac.id/32653/.

[21] A. M et al., “Prediction of Optimum Operating Parameters to Enhance the Performance of PEMFC Using Machine Learning Algorithms,” Energy Exploration & Exploitation, 2024, https://doi.org/10.1177/01445987241290535.

[22] S. R. K. Joga et al., “Applications of tunable-Q factor wavelet transform and AdaBoost classier for identification of high impedance faults: Towards the reliability of electrical distribution systems,” Energy Exploration & Exploitation, 2024, https://doi.org/10.1177/01445987241260949.

[23] H. Boudjemai et al., "Experimental Analysis of a New Low Power Wind Turbine Emulator Using a DC Machine and Advanced Method for Maximum Wind Power Capture," IEEE Access, vol. 11, pp. 92225-92241, 2023, https://doi.org/10.1109/ACCESS.2023.3308040.

[24] T. Liu, Y. Lee and Y. Crang, "Adaptive controller design for a linear motor control system," IEEE Transactions on Aerospace and Electronic Systems, vol. 40, no. 2, pp. 601-616, 2004, https://doi.org/10.1109/TAES.2004.1310008.

[25] M. Tsai, C. Tseng, N. Li, and R. Jan, “Implementation of a DSP-based speed-sensorless adaptive control for permanent-magnet synchronous motor drives with uncertain parameters using linear matrix inequality approach,” IET Electric Power Applications, vol. 16, no. 7, pp. 789–804, 2022, https://doi.org/10.1049/elp2.12169.

[26] A. R. Maleknia, K. Rahimi, H. A. Zarchi and J. Soltani, "Robust backstepping control of permanent magnet linear synchronous motor in extended region using Artificial Neural Network," 2008 IEEE International Conference on Industrial Technology, pp. 1-5, 2008, https://doi.org/10.1109/ICIT.2008.4608580.

[27] A. Fatah et al., “Design, and dynamic evaluation of a novel photovoltaic pumping system emulation with DS1104 hardware setup: Towards innovative in green energy systems,” PLoS One, vol. 19, no. 10, p. e0308212, 2024, https://doi.org/10.1371/journal.pone.0308212.

[28] C. Ting and Y. Chang, “Observer-based backstepping control of linear stepping motor,” Control Engineering Practice, vol. 21, no. 7, pp. 930–939, 2013, https://doi.org/10.1016/j.conengprac.2013.02.018.

[29] X. Zhou, C. Gao, Z. gang Li, Y. hui Yang, and L. bing Wu, “High-gain observer-based adaptive fuzzy finite-time prescribed performance tracking control for linear stepping motor with event-triggered strategy,” Asian Journal of Control, vol. 24, no. 6, pp. 3200–3213, 2022, https://doi.org/10.1002/asjc.2709.

[30] X. Tong, “High-gain Output Feedback Control for Linear Stepping Motor Based on Fuzzy Approximation,” IAENG International Journal of Computer Science, vol. 50, no. 3, 2023, https://www.iaeng.org/IJCS/issues_v50/issue_3/IJCS_50_3_11.pdf.

[31] M. K. Ratib et al., “Applications of hybrid model predictive control with computational burden reduction for electric drives fed by 3-phase inverter,” Ain Shams Engineering Journal, vol. 14, no. 8, p. 102028, 2023, https://doi.org/10.1016/j.asej.2022.102028.

[32] G. Lirong and Y. Junyou, "Permanent Magnet Linear Synchronous Motor Drive Using Adaptive Backstepping Sliding Mode Control," 2008 International Conference on Computer and Electrical Engineering, pp. 573-577, 2008, https://doi.org/10.1109/ICCEE.2008.170.

[33] M. Chebaani, M. M. Mahmoud, A. F. Tazay, M. I. Mosaad, and N. A. Nouraldin, “Extended Kalman Filter design for sensorless sliding mode predictive control of induction motors without weighting factor: An experimental investigation,” PLoS One, vol. 18, no. 11, p. e0293278, 2023, https://doi.org/10.1371/journal.pone.0293278.

[34] L. Xiaoying, W. Limei and S. Yibiao, "Dynamic surface backstepping sliding mode position control of permanent magnet linear synchronous motor," 2017 IEEE International Electric Machines and Drives Conference (IEMDC), pp. 1-7, 2017, https://doi.org/10.1109/IEMDC.2017.8002232.

[35] L. Shao, C. Zheng, Y. Zhang, G. Xie, X. Hao, and X. Zheng, “Research on Permanent Magnet Synchronous Motor Sensorless Control System Based on Integral Backstepping Controller and Enhanced Linear Extended State Observer,” Applied Science, vol. 13, no. 3, p. 1680, 2023, https://doi.org/10.3390/app13031680.

[36] S. Ziani, M. El Ghmary, and Y. A. Zorgani, “Permanent magnet synchronous motor control performed using PI-backstepping with a model of harmonics reduction,” International Journal of Power Electronics Drive Systems, vol. 14, no. 1, pp. 199–208, 2023, http://doi.org/10.11591/ijpeds.v14.i1.pp199-208.

[37] T. H. Liu, P. U. Pu, and C. K. Lin, “Implementation of an adaptive position control system of a permanent-magnet synchronous motor and its application,” IET Electric Power Applications, vol. 4, no. 2, pp. 121–130, 2010, https://doi.org/10.1049/iet-epa.2009.0036.

[38] J. P. Quismundo, E. Sybingco, M. A. Roque, A. Chua, L. Ambata, “Optimization of an ANN-based speed and position estimator for an FOC-controlled PMSM using genetic algorithm,” Telkomnika (Telecommunication Computing Electronics and Control), vol. 21, no. 6, pp. 1391–1404, 2023, http://doi.org/10.12928/telkomnika.v21i6.24511.

[39] C. S. Ting, Y. N. Chang, and Y. Y. Chen, “Backstepping direct thrust force control for sensorless pmlsm drive,” IET Electric Power Applications, vol. 13, no. 3, pp. 322–331, 2019, https://doi.org/10.1049/iet-epa.2018.5269.

[40] Z. Li, J. An, Q. Zhang, H. Liu and H. Sun, "Design of PMSLM Position Controller Based on Model Predictive Control Algorithm," IEEE Access, vol. 9, pp. 78835-78846, 2021, https://doi.org/10.1109/ACCESS.2021.3083521.

[41] L. L. Wang and H. R. Wang, “Fuzzy PI+D tuning for permanent magnet linear synchronous motor,” Proceedings of the 2009 International Conference on Machine Learning and Cybernetics, pp. 663–667, 2009, https://doi.org/10.1109/ICMLC.2009.5212356.

[42] H. Miloudi et al., "Electromagnetic Compatibility Characterization of Start-Capacitor Single-Phase Induction Motor," IEEE Access, vol. 12, pp. 2313-2326, 2024, https://doi.org/10.1109/ACCESS.2023.3349018.

[43] I. E. Maysse et al., "Nonlinear Observer-Based Controller Design for VSC-Based HVDC Transmission Systems Under Uncertainties," IEEE Access, vol. 11, pp. 124014-124030, 2023, https://doi.org/10.1109/ACCESS.2023.3330440.

[44] H. Boudjemai et al., “Application of a Novel Synergetic Control for Optimal Power Extraction of a Small-Scale Wind Generation System with Variable Loads and Wind Speeds,” Symmetry, vol. 15, no. 2, p. 369, 2023, https://doi.org/10.3390/sym15020369.

[45] C. Bai, Z. Yin, Y. Zhang and J. Liu, "Robust Predictive Control for Linear Permanent Magnet Synchronous Motor Drives Based on an Augmented Internal Model Disturbance Observer," IEEE Transactions on Industrial Electronics, vol. 69, no. 10, pp. 9771-9782, 2022, https://doi.org/10.1109/TIE.2022.3140532.

[46] S. Hsu, C. Liu, C. Liu and N. Wang, "Fuzzy PI controller tuning for a linear permanent magnet synchronous motor drive," IECON'01. 27th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.37243), vol. 3, pp. 1661-1666, 2001, https://doi.org/10.1109/IECON.2001.975537.

[47] S. Riaz, C. W. Yin, R. Qi, B. Li, S. Ali, and K. Shehzad, “Design of Predefined Time Convergent Sliding Mode Control for a Nonlinear PMLM Position System,” Electronics, vol. 12, no. 4, p. 813, 2023, https://doi.org/10.3390/electronics12040813.

[48] Y. T. Chen, C. S. Yu, and P. N. Chen, “Feedback linearization based robust control for linear permanent magnet synchronous motors,” Energies, vol. 13, no. 20, p. 5242, 2020, https://doi.org/10.3390/en13205242.

[49] H. Ni, B. Ding, F. Zhao, M. Zhou, F. Zhu and J. Cai, "Adaptive Terminal Sliding Mode Control for Permanent Magnet Linear Synchronous Motor," 2020 IEEE International Conference on High Voltage Engineering and Application (ICHVE), pp. 1-4, 2020, https://doi.org/10.1109/ICHVE49031.2020.9279430.

[50] L. Wang, J. Zhao, Z. Yu, Z. Pan and Z. Zheng, "High-Precision Position Control of PMLSM Using Fast Recursive Terminal Sliding Mode With Disturbance Rejection Ability," IEEE Transactions on Industrial Informatics, vol. 20, no. 2, pp. 2577-2588, 2024, https://doi.org/10.1109/TII.2023.3295570.

[51] X. Zhao and D. Fu, "Adaptive Neural Network Nonsingular Fast Terminal Sliding Mode Control for Permanent Magnet Linear Synchronous Motor," IEEE Access, vol. 7, pp. 180361-180372, 2019, https://doi.org/10.1109/ACCESS.2019.2958569.


Refbacks

  • There are currently no refbacks.


Copyright (c) 2024 Yahiaoui Maamar, Mohamed Metwally Mahmoud, Brahimi Brahim, Afif Benameur, Horch Mohamed

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

 


About the JournalJournal PoliciesAuthor Information

International Journal of Robotics and Control Systems
e-ISSN: 2775-2658
Website: https://pubs2.ascee.org/index.php/IJRCS
Email: ijrcs@ascee.org
Organized by: Association for Scientific Computing Electronics and Engineering (ASCEE)Peneliti Teknologi Teknik IndonesiaDepartment of Electrical Engineering, Universitas Ahmad Dahlan and Kuliah Teknik Elektro
Published by: Association for Scientific Computing Electronics and Engineering (ASCEE)
Office: Jalan Janti, Karangjambe 130B, Banguntapan, Bantul, Daerah Istimewa Yogyakarta, Indonesia