Robust Nonlinear Predictive Control Applied to Induction Motors
Received: 29 January 2023 | Revised: 6 February 2023 and 12 April 2023 | Accepted: 14 April 2023 | Online: 2 June 2023
Corresponding author: Abdeldjebar Bektache
Abstract
In this paper, a nonlinear predictive controller is proposed for a variable-speed induction motor. The research work is directed towards improving the trajectory tracking capability, stability guarantee, robustness to parameter variations, and disturbance rejection. The Generalized Predictive Control (GPC) without constraint and output-constrained controller to induction motor drive is illustrated. The variables to be controlled are rotor speed and flux trajectory. The load torque is considered an unknown disturbance. Finally, the tuning parameter of GPC is automatically determined. The simulation results show a good performance for the nonlinear dynamic system.
Keywords:
robust, induction motor, polynomial approach, output contraint, predictive controlDownloads
References
C. R. Cutler and B. L. Ramaker, "Dynamic matrix control??A computer control algorithm," Joint Automatic Control Conference, no. 17, 1980, Art. no. 72.
B. E. Ydstie, "Extended Horizon Adaptive Control," IFAC Proceedings Volumes, vol. 17, no. 2, pp. 911–915, Jul. 1984. DOI: https://doi.org/10.1016/S1474-6670(17)61089-9
D. W. Clarke, C. Mohtadi, and P. S. Tuffs, "Generalized predictive control—Part I. The basic algorithm," Automatica, vol. 23, no. 2, pp. 137–148, Mar. 1987. DOI: https://doi.org/10.1016/0005-1098(87)90087-2
D. W. Clarke, C. Mohtadi, and P. S. Tuffs, "Generalized Predictive Control—Part II Extensions and interpretations," Automatica, vol. 23, no. 2, pp. 149–160, Mar. 1987. DOI: https://doi.org/10.1016/0005-1098(87)90088-4
R. M. C. De Keyser and A. R. Van Cauwenberghe, "Extended Prediction Self-Adaptive Control," IFAC Proceedings Volumes, vol. 18, no. 5, pp. 1255–1260, Jul. 1985. DOI: https://doi.org/10.1016/S1474-6670(17)60736-5
J. M. MacIejowski, Predictive Control With Constraints, 1st ed. Harlow, UK; New York, NY, USA: Pearson College Div, 2000.
M. K. Maaziz, P. Boucher, and D. Dumur, "A new RST cascaded predictive control scheme for induction machines," in Proceedings of the 1999 IEEE International Conference on Control Applications (Cat. No.99CH36328), Kohala Coast, HI, USA, Dec. 1999, vol. 2, pp. 927–932.
M. K. Maaziz, H. Siguerdidjane, P. Boucher, and D. Dumur, "Nonlinear predictive control of current-fed induction motor based on differential flatness properties," in 1999 European Control Conference (ECC), Karlsruhe, Germany, Dec. 1999, pp. 803–808. DOI: https://doi.org/10.23919/ECC.1999.7099404
A. Bemporad, M. Morari, V. Dua, and E. N. Pistikopoulos, "The explicit linear quadratic regulator for constrained systems," Automatica, vol. 38, no. 1, pp. 3–20, Jan. 2002. DOI: https://doi.org/10.1016/S0005-1098(01)00174-1
A. Bektache and B. Abdallah, "Nonlinear predictive control based on flatness properties," in ICCAS 2010, Gyeonggi-do, Korea (South), Jul. 2010, pp. 1267–1270. DOI: https://doi.org/10.1109/ICCAS.2010.5669713
S. Ayasun and C. O. Nwankpa, "Induction motor tests using MATLAB/Simulink and their integration into undergraduate electric machinery courses," IEEE Transactions on Education, vol. 48, no. 1, pp. 37–46, Oct. 2005. DOI: https://doi.org/10.1109/TE.2004.832885
B. K. Bose, Modern Power Electronics and AC Drives, 1st ed. Upper Saddle River, NJ, USA: Prentice Hall, 2001.
H. Bassi and Y. A. Mobarak, "State-Space Modeling and Performance Analysis of Variable-Speed Wind Turbine Based on a Model Predictive Control Approach," Engineering, Technology & Applied Science Research, vol. 7, no. 2, pp. 1436–1443, Apr. 2017. DOI: https://doi.org/10.48084/etasr.1015
R. Errouissi and M. Ouhrouche, "Robust continuous generalized predictive control of a permanent magnet synchronous motor drive," in 2009 IEEE Electrical Power & Energy Conference (EPEC), Montreal, QC, Canada, Jul. 2009. DOI: https://doi.org/10.1109/EPEC.2009.5420896
P. A. Egiguren, O. B. Caramazana, A. J. Garrido Hernandez, and I. Garrido Hernandez, "SVPWM linear Generalized Predictive Control of induction motor drives," in 2008 IEEE International Symposium on Industrial Electronics, Jun. 2008, pp. 588–593. DOI: https://doi.org/10.1109/ISIE.2008.4677102
S. Olaru and P. R. Ayerbe, "Robustification of explicit predictive control laws," in Proceedings of the 45th IEEE Conference on Decision and Control, Dec. 2006, pp. 4556–4561. DOI: https://doi.org/10.1109/CDC.2006.377506
P. Boucher, D. Dumur, and S. Daumuller, "Automatic Design of Tuning Parameters for Predictive Control of CNC Machines," CIRP Annals, vol. 41, no. 1, pp. 417–420, Jan. 1992. DOI: https://doi.org/10.1016/S0007-8506(07)61234-7
D. Dumur, P. Boucher, and A. U. Ehrlinger, "Constrained Predictive Control for Motor Drives," CIRP Annals, vol. 45, no. 1, pp. 355–358, Jan. 1996. DOI: https://doi.org/10.1016/S0007-8506(07)63079-0
M. Ndje, J. M. N. Yome, A. T. Boum, L. Bitjoka, and J. C. Kamgang, "Dynamic Matrix Control and Tuning Parameters Analysis for a DC Motor System Control," Engineering, Technology & Applied Science Research, vol. 8, no. 5, pp. 3416–3420, Oct. 2018. DOI: https://doi.org/10.48084/etasr.2300
S. M. Kazraji, M. R. Feyzi, M. B. B. Sharifian, and S. Tohidi, "Fuzzy Predictive Force Control (FPFC) for Speed Sensorless Control of Single-side Linear Induction Motor," Engineering, Technology & Applied Science Research, vol. 7, no. 6, pp. 2132–2138, Dec. 2017. DOI: https://doi.org/10.48084/etasr.1591
A. Bektache and B. Boukhezzar, "Nonlinear predictive control of a DFIG-based wind turbine for power capture optimization," International Journal of Electrical Power & Energy Systems, vol. 101, pp. 92–102, Oct. 2018. DOI: https://doi.org/10.1016/j.ijepes.2018.03.012
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Copyright (c) 2023 Abdeldjebar Bektache, Houssem Achouri, K. Salim Belkhir
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