Backstepping Control for Induction Motors with Input and Output Constrains
In practice, the applied control voltage for an induction motor drive system fed by a voltage source inverter has a limit depending on the DC bus capacity. In certain operations such as accelerating, the motor might require an excessively high voltage value that the DC bus cannot supply. This paper presents a control solution for the bounded control input problem of the induction motor system by flexibly combining a hyperbolic tangent function in a backstepping control design procedure. In addition, the barrier Lyapunov function is also employed to force speed tracking error in a defined value. The closed-loop system stability is proven, and the proposed control is verified through numerical simulations.
Keywords:backstepping control, barrier lyapunov function, induction motor, FOC
X. Shi, H. Li, and J. Huang, “A Practical Scheme for Induction Motor Modelling and Speed Control,” International Journal of Control and Automation, vol. 7, pp. 113–124, Apr. 2014. DOI: https://doi.org/10.14257/ijca.2014.7.4.11
T. M. Chikouche, A. Mezouar, T. Terras, and S. Hadjeri, “Variable Gain PI Controller Design For Speed Control of a Doubly Fed Induction Motor Using State-Space Nonlinear Approach,” Engineering, Technology & Applied Science Research, vol. 3, no. 3, pp. 433–439, Jun. 2013. DOI: https://doi.org/10.48084/etasr.305
“A robust sensorless output feedback controller of the induction motor drives: new design and experimental validation,” International Journal of Control, vol. 83, no. 3, pp. 484–497. DOI: https://doi.org/10.1080/00207170903193474
V. T. Ha, V. H. Phuong, N. T. Lam, and N. P. Quang, “A dead-beat current controller based wind turbine emulator,” in 2017 International Conference on System Science and Engineering (ICSSE), Ho Chi Minh City, Vietnam, Jul. 2017, pp. 169–174.
V. T. Ha, N. T. Lam, V. T. Ha, and V. Q. Vinh, “Advanced control structures for induction motors with ideal current loop response using field oriented control,” International Journal of Power Electronics and Drive Systems (IJPEDS), vol. 10, no. 4, pp. 1758–1771, Dec. 2019.
J. Zhang et al., “Integrated design of speed sensorless control algorithms for induction motors,” in 2015 34th Chinese Control Conference (CCC), Jul. 2015, pp. 8678–8684. DOI: https://doi.org/10.1109/ChiCC.2015.7261011
M. K. Sahu, A. K. Panda, and B. P. Panigrahi, “Direct Torque Control for Three-Level Neutral Point Clamped Inverter-Fed Induction Motor Drive,” Engineering, Technology & Applied Science Research, vol. 2, no. 2, pp. 201–208, Apr. 2012. DOI: https://doi.org/10.48084/etasr.117
S. M. Kazraji and M. B. B. Sharifian, “Model predictive control of linear induction motor drive,” in IECON 2017 - 43rd Annual Conference of the IEEE Industrial Electronics Society, Oct. 2017, pp. 3736–3739. DOI: https://doi.org/10.1109/IECON.2017.8216635
C. Regaya, A. Zaafouri, and A. Chaari, “A New Sliding Mode Speed Observer of Electric Motor Drive Based on Fuzzy-Logic,” Acta Polytechnica Hungarica, vol. 11, pp. 219–232, Feb. 2014. DOI: https://doi.org/10.12700/APH.11.03.2014.03.14
M. Denai and S. Attia, “Fuzzy and neural control of an induction motor,” International Journal of Applied Mathematics and Computer Science, vol. 12, pp. 221–233, Jan. 2002.
M. Chebre, A. Meroufel, and Y. Bendaha, “Speed Control of Induction Motor Using Genetic Algorithm-based PI Controller,” Acta Polytechnica Hungarica, vol. 8, no. 6, pp. 141–153, Jan. 2011.
I. Haj Brahim, S. Hajji, and A. Chaari, “Backstepping Controller Design using a High Gain Observer for Induction Motor,” International Journal of Computer Applications, vol. 23, no. 3, pp. 1-6, Jun. 2011. DOI: https://doi.org/10.5120/2873-3730
C. M. Lin and C. F. Hsu, “Recurrent-neural-network-based adaptive-backstepping control for induction servomotors,” IEEE Transactions on Industrial Electronics, vol. 52, no. 6, pp. 1677–1684, Dec. 2005.
J. Yu, Y. Ma, B. Chen, H. Yu, and S. Pan, “Adaptive neural position tracking control for induction motors via back stepping,” International Journal of Innovative Computing, Information and Control, vol. 7, no. 7, pp. 4503–4516, Jul. 2011.
F.-J. Lin, P.-H. Shen, and S.-P. Hsu, “Adaptive backstepping sliding mode control for linear induction motor drive,” IEE Proceedings - Electric Power Applications, vol. 149, no. 3, pp. 184–194, May 2002. DOI: https://doi.org/10.1049/ip-epa:20020138
I. K. Bousserhane, A. Hazzab, R. Mostefa, B. Mazari, and M. Kamli, “Mover position control of linear induction motor drive using adaptive backstepping controller with integral action,” Tamkang Journal of Science and Engineering, vol. 12, pp. 17–28, Mar. 2009.
H. T. Lee, “Adaptive PC-based backstepping position control of induction motor,” International Journal of Power Electronics, vol. 3, no. 2, p. 156, 2011. DOI: https://doi.org/10.1504/IJPELEC.2011.038891
M. Moutchou, A. Abbou, and H. Mahmoudi, “MRAS-based sensorless speed backstepping control for induction machine, using a flux sliding mode observer,” Turkish Journal of Electrical Engineering and Computer Sciences, vol. 23, pp. 187–200, Jan. 2015. DOI: https://doi.org/10.3906/elk-1208-50
M. Morawiec, “Dynamic variables limitation for backstepping control of induction machine and voltage source converter,” Archives of Electrical Engineering, vol. 61, no. 3, pp. 389–410, 2012. DOI: https://doi.org/10.2478/v10171-012-0031-1
N. P. Quang and J.-A. Dittrich, Vector Control of Three-Phase AC Machines: System Development in the Practice, 2nd ed. Berlin Heidelberg: Springer-Verlag, 2015.
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