DOI QR코드

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A Robust Adaptive Control for Permanent Magnet Synchronous Motor Subject to Parameter Uncertainties and Input Saturations

  • Wu, Shaofang (National Engineering Laboratory for Automotive Electronics and Control Technology, Shanghai Jiaotong University) ;
  • Zhang, Jianwu (National Engineering Laboratory for Automotive Electronics and Control Technology, Shanghai Jiaotong University)
  • 투고 : 2017.11.12
  • 심사 : 2018.05.23
  • 발행 : 2018.09.01

초록

To achieve high performance speed regulation, a robust adaptive speed controller is proposed for the permanent magnet synchronous motor (PMSM) subject to parameter uncertainties and input saturations in this paper. A nonlinear adaptive control is introduced to compensate the PMSM speed tracking errors due to uncertainties, disturbances and control input saturation constraints. By combining the adaptive control and the nonlinear robust control based on the interconnection and damping assignment (IDA) strategy, a new robust adaptive control is designed for speed regulation of PMSM. Stability and robustness of the closed-loop control system involved with the constrained control inputs rather than unconstrained control inputs are validated. Simulations for PMSM control in the presence of uncertainties and saturations nonlinearities show that the proposed approach is effective to regulate speed, and the average tracking error using the proposed approach is at least 32% smaller than the compared methods.

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참고문헌

  1. H. Jun, H. Ahn, H. Lee, S. Go and J. Lee, "A maximum power control of IPMSM with real-time parameter identification," J. Electr. Eng. Technol., vol. 12, no. 1, pp. 110-116, Jan. 2017. https://doi.org/10.5370/JEET.2017.12.1.110
  2. L. Sun, Y. Wang, and G. Feng, "Control design for a class of affine nonlinear descriptor systems with actuator saturation," IEEE Trans. Autom. Control, vol. 60, no. 8, pp. 2195-2200, Aug. 2015. https://doi.org/10.1109/TAC.2014.2374712
  3. A. Wei, Y. Wang, and X. Hu, "Parallel simultaneous stabilization of a set of port-controlled Hamiltonian systems subject to actuator saturation," J. Syst. Sci. Complex., vol. 24, no. 1, pp. 120-139, Aug. 2011. https://doi.org/10.1007/s11424-011-8177-2
  4. Q. Zhou, H. Li, C. Wu, L. Wang, and C. Ahn, "Adaptive fuzzy control of nonlinear systems with unmodeled dynamics and input saturation using small-gain approach," IEEE Trans. Syst. Man, Cybern.: Syst., vol. 47, no. 8, pp. 1979-1989, Aug. 2017. https://doi.org/10.1109/TSMC.2016.2586108
  5. A. Donaire and S. Junco, "On the addition of integral action to port-controlled Hamiltonian systems," Automatica, vol. 45, pp. 1910-1916, Jun. 2009. https://doi.org/10.1016/j.automatica.2009.04.006
  6. V. Petrovic, R. Ortega, and A. Tankovic, "Interconnection and damping assignment approach to control of permanent magnet synchronous motors," IEEE Trans. Control Syst.Technol., vol. 9, no. 6, pp. 811-820, Nov. 2011.
  7. T. Turker, B. Umit, and B. Faruk, "A robust predictive current controller for PMSM drives," IEEE Trans. Ind. Electron., vol. 63, no. 6, pp. 3906-3914, Jan. 2016. https://doi.org/10.1109/TIE.2016.2521338
  8. S. Garin and N. Mohmed, "MTPA- and FW-based robust nonlinear speed control of IPMSM drive using Lyapunov stability criterion," IEEE Trans. Ind. Appl., vol. 52, no. 5, pp. 4365-4374, Sep./Oct. 2016. https://doi.org/10.1109/TIA.2016.2564941
  9. A. Vahid, F. Ahmed, and M. Menhaj, "Position and current control of an interior permanent-magnet synchronous motor by using loop-shaping methodology: blending of $H_{\infty}$ mixed-sensitivity problem and T-S fuzzy model scheme," ASME J. Dyn. Syst., Measurement, Control, vol. 135, pp. 1-11, Sep. 2013.
  10. V. Azimi, M. Nekoui, and A, Fakharian, "Robust multi-objective $H_2/H_{\infty}$ tracking control based on T-S fuzzy model for a class of nonlinear uncertain drive systems," Proc. IMechE. Part I: J. of Syst. Control Eng., vol. 226, no. 8, pp. 1107-1118, Jun. 2012. https://doi.org/10.1177/0959651812443925
  11. N. Vu, H. Choi, R. Kim, and J. Jung, "Robust speed control method for permanent magnet synchronous motor," IET Electr. Power Appl., vol. 6, iss. 7, pp. 399-411, Aug. 2012. https://doi.org/10.1049/iet-epa.2011.0384
  12. L. Guo and L. Parsa, "Model reference adaptive control of five-phase IPM motors based on neural network," IEEE Trans. Ind. Electron., vol. 59, no. 3, pp. 1500-1508, Mar. 2012. https://doi.org/10.1109/TIE.2011.2163371
  13. A. Khan, N. Uddin, and A. Rahman, "A novel wavelet- neural-network-based robust controller for IPM motor drives," IEEE Trans. Ind. Electron., vol. 49, no. 5, pp. 2341-2351, Sep./Oct. 2013.
  14. P. Tomi and J. Chiasson, "A nonlinear adaptive speed tracking control for sensorless permanent magnet step motors with unknown load torque," Int. J. Adaptive Control and Signal Process., vol. 22, pp. 266-288, Jun. 2007.
  15. F. El-Sousy, "Robust adaptive $H_{\infty}$ position control via a wavelet-neural-network for a DSP-based permanent-magnet synchronous motor servo drive system," IET Electr. Power Appl., vol. 4, iss. 5, pp. 333-347, May 2010. https://doi.org/10.1049/iet-epa.2009.0156
  16. F. El-Sousy, "Robust wavelet-neural-network sliding-mode control system for permanent magnet synchronous motor drive," IET Electr. Power Appl., vol. 5, iss. 1, pp. 113-132, Jan. 2011. https://doi.org/10.1049/iet-epa.2009.0229
  17. M. Rehan, M. Tufail, C. Ahn, and M. Chadli, "Stabilisation of locally Lipschitz non-linear systems under input saturation and quantisation," IET Control Theory & Appl., vol. 11, iss. 9, pp. 1459-1466, Mar. 2017. https://doi.org/10.1049/iet-cta.2016.1424
  18. J. Chio and S. Lee, "Antiwindup strategy for PI-type speed controller," IEEE Trans. Ind. Electron., vol. 56, no. 6, pp. 2039-2046, Jun. 2009. https://doi.org/10.1109/TIE.2009.2016514
  19. H. Shin and J. Park, "Anti-windup PID controller with integral state predictor for variable-speed motor drives," IEEE Trans. Ind. Electron., vol. 56, no. 3, pp. 1509-1516, Mar. 2012.
  20. R. Errouissi, M. Ouhrouche, W. Chen, A. Trzynadlowski, "Robust cascaded nonlinear predictive control of a permanent magnet synchronous motor with antiwindup compensator," IEEE Trans. Ind. Electron., vol. 59, no. 8, pp. 3078-3088, Aug. 2012. https://doi.org/10.1109/TIE.2011.2167109
  21. R. Errouissi, M. Ouhrouche, and W. Chen, "Robust nonlinear generalized predictive control of a permanent magnet synchronous motor with an anti-windup compensator," in Proc. IEEE Int. Symposium Ind. Electron., 2010, pp. 3184-3189.
  22. Y. Guo, Z. Xi, and D. Cheng, "Speed Regulation of permanent magnet synchronous motor via feedback dissipative Hamiltonian realization," IET Control Theory Appl., vol. 1, no. 1, pp. 281-290. Jan. 2007. https://doi.org/10.1049/iet-cta:20050307
  23. Y. Zhao and L. Dong, "Robust speed control of a permanent magnet synchronous motor system," in Proc. 28th CDC Conf., 2016, pp. 3271-3276.
  24. R. Ortega and C. Eloisa, "Interconnection and damping assignment passivity control: a survey," Eur. J. Control, vol. 10, pp. 432-450, Jun. 2013.
  25. A. Dirksz and A. Scherpen, "Structure preserving adaptive control of port-Hamiltonian systems," IEEE Trans. Autom. Control, vol. 57, no. 11, pp. 2880-2884, Nov. 2012. https://doi.org/10.1109/TAC.2012.2192359
  26. A. Wei and Y. Wang, "Adaptive parallel simultaneous stabilization of a set of uncertain port-controlled Hamiltonian systems subject to actuator saturation," Int. J. Adaptive Control and Signal Process., vol. 28, no. 11, pp. 1128-1144, Sep. 2013. https://doi.org/10.1002/acs.2433
  27. A. Wei and Y. Wang, "Stabilization and $H_{\infty}$ control of nonlinear port-controlled Hamiltonian systems subject to actuator saturation," Automatica, vol. 46, pp. 2008-2013, Aug. 2010. https://doi.org/10.1016/j.automatica.2010.08.001
  28. A. Van der Schaft, $L_2$-Gain and Passivity Techniques in Nonlinear Control, Berlin: Springer, 1999.
  29. C. Lin and T. Liu, "Chattering free robust nonlinear controller for an interior permanent magnet synchronous motor speed drive system," in Proc. 36th Annual Conf. IEEE Ind. Electron. Soc., 2010, pp. 2218-2223.
  30. M. Aliyu, Nonlinear $H_{\infty}$ Control, Hamiltonian Systems and Hamilton-Jacobi Equations, New York: CRC Press, 2011.
  31. Y. Orlov and L. Aguilar, Advanced $H_{\infty}$ Control: Towards Nonsmooth Theory and Applications, New York: Springer, 2014.