Backstepping Control of the Induction Machine, Based on Flux Sliding Mode Observer, with Rotor and Stator Resistances Adaptation

Mohamed Moutchou(1*), Hassan Moahmoudi(2), Ahmed Abbou(3)

(1) Electric Engineering Department. Mohammadia School’s of Engineer, Mohamed V University Agdal, Rabat, Morocco, Morocco
(2) Electric Engineering Department. Mohammadia School’s of Engineer, Mohamed V University Agdal, Rabat, Morocco, Morocco
(3) Electric Engineering Department. Mohammadia School’s of Engineer, Mohamed V University Agdal, Rabat, Morocco, Morocco
(*) Corresponding author

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In this paper we present a robust control of rotor speed and rotor flux of the induction machine, using a Backstepping control scheme. In this scheme the induction machine is represented by a model described in the fixed stator frame with rotor flux, stator current and rotor speed as stat variables. The backstepping technique is appropriate for such as non linear system. The outputs control can be derived step by step, over virtual-control, through appropriate Lyapunov functions. In order to improve the control robustness especially against parameters variation, we design an adaption mechanism of parameters based on estimation of rotor and stator resistances. The simultaneous estimation of those parameters is made by an observer using a specific MRAS technique. As the controller and the parameters adaptation mechanism depends on the flux, that is unmeasured, we design a robust and fast flux observer based on sliding mode technique. Simulation is realized and its results are presented to validate and to prove the effectiveness and robustness of the proposed control.
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Induction Motor Drive; Backstepping Control; MRAS Observer; Sliding Mode; Lyapunov Stability

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F. Blaschke, “The principle of field orientation applied to the transvector closed-loop control system for rotating field machines”, Siemens Rev., Vol. 34, pp. 217-220, 1972.

D. Casadei et al "Rotor Flux Oriented Torque-Control of Induction Machines Based on Stator Flux Vector Control”, Proceedings of the EPE Conference, Brighton, Vol. 5, pp. 67-72, 1993.

A. Behal et al “An improved indirect field oriented controller for the induction motor”, IEEE Trans. Control Syst. Technol., vol. 11, no. 2, pp. 248–252, 2003.

F. Jadot et al, “Adaptive Regulation of Vector-Controlled Induction Motors”, IEEE Transactions On Control Systems Technology, Vol. 17, No. 3, pp. 646-657, 2009.

Moutchou, M., Abbou, A., Mahmoudi, H., Induction machine speed and flux control, using vector-sliding mode control, with rotor resistance adaptation, (2012) International Review of Automatic Control (IREACO), 5 (6), pp. 804-814.

A. Derdiyok, “Speed-Sensorless Control of Induction Motor Using a Continuous Control Approach of Sliding-Mode and Flux Observer”, IEEE Transactions on industrial electronics, Vol. 52, No. 4, 2005.

S. K. Lin and C. H. Fang, “Sliding-Mode Linearization Torque Control Of An Induction Motor”, Asian Journal of Control, Vol. 6, No. 3, pp. 376-387, 2004.

V.I. Utkin, “Sliding mode control design principles and applications to electric drives”, IEEE Transactions On Industrial Electronics, Vol. 40, pp. 23-36, 1993.

J. Chiason, “A new approach to dynamic feedback linearization control of an induction motor’, IEEE Transactions on Automatic Control, vol.43, N3, pp. 391-397, 1997.

M. J. Hajian et al, “Input-Output Feedback Linearization of Sensorless IM Drives with Stator and Rotor Resistances Estimation”, Journal of Power Electronics, Vol. 9, No. 4, pp. 654-666, 2009.

A. Isidori, Nonlinear Control Systems, Third Edition, Springer-Verlag London, 1995.

K. Kostov et al, “Position Control of Induction Motors by Exact Feedback Linearization”, Cybernetics and information technologies, Vol. 8, No. 1, Sofia, 2008.

M. Moutchou et al, “Sensorless Input-Output Linearization Speed Control of Induction Machine”, The international workshop on Information Technologies and Communication Wotic'11, Morocco, Casablanca, ID.123, 2011.

W. Tao et al, “Feedback Linearization and Decoupling Control of Induction Motors”, Xinan Jiaotong Daxue Xuebao/Journal of Southwest Jiaotong University, Vol. 42, pp. 181-185, 2007.

R.A. Freeman and P.V. Kokotovic, “Backstepping design of robust controllers for a class of nonlinear systems”, Proceedings of IFAC Nonlinear Control Systems Design Symposium, Bordeaux France, pp. 307-312, 1992.

F. Ikhouane and M. Krstic, “Adaptive backstepping with parameter projection: robustness and asymptotic performance”, Automatica, Vol. 34, pp. 429-435, 1998.

D. V. Efimov and A. L. Fradkov, “Input-to-output stabilization of nonlinear systems via backstepping”, International Journal of Robust and Nonlinear Control, Vol.19, pp 613–633, 2009.

H. B. Imen and S. Hajji, “Backstepping Controller Design using a High Gain Observer for Induction Motor”, International Journal of Computer Applications Vol. 23(3), pp 1–6, 2011.

M. Moutchou et al, “Sensorless Speed Backstepping Control of Induction Machine, Based On Speed MRAS Observer”, International Conference on Multimedia Computing and Systems (ICMCS'12), Morocco, IEEE Conference Publications, DOI: 10.1109/ICMCS.2012.6320166, pp. 1019-1024, 2012.

C. C. Peng et al, “Variable structure based robust backstepping controller design for nonlinear systems”, Nonlinear Dynamics, Vol.63, pp 253-262, 2011.

H. Tan and J. Chang, “Adaptive backstepping control of induction motor with uncertainties”, Proceedings of the American control conference, San Diego, California, Vol. 1, pp. 1-5, 1999.

Y. Zhang, “Backstepping control of linear time-varying systems with known and unknown parameters”, Automatic Control, IEEE Transactions on Synopsys, Inc, Mountain View, CA, USA,Vol.48, pp 1908-1925, 2003.

J. Zhou and C. Wen, “Adaptive Backstepping Control of Uncertain Systems: Nonsmooth Nonlinearities, Interactions or Time-Variations”, Berlin Heidelberg, 2008.

Y.A. Kwon and D.W. Jin, “A novel MRAS based speed sensorless control of induction motor”, in Proc. the 25th Annual Conference of the IEEE Industrial Electronics Society, Vol. 2, pp. 933-938, 1999.

M. Rashed and A.F. Stronach, “A stable back-EMF MRAS-based sensorless low speed induction motor drive insensitive to stator resistance variation”, IEE Proceedings Electric Power Applications, Vol. 151, pp. 685-693, 2004.

Zhen, L. and Xu, L., (1998) Sensorless field orientation control of induction machines based on mutual MRAS scheme, IEEE Transactions on Industrial Electronics, Vol. 45, pp. 824-831.

Moutchou, M., Mahmoudi, H., Abbou, A., Sensorless sliding mode-backstepping control of the induction machine, using sliding mode-MRAS observer, (2013) International Review on Modelling and Simulations (IREMOS), 6 (2), pp. 387-395.

Moutchou, M., Mahmoudi, H., Improved genetic algorithm identification of the squirrel-cage induction machine parameters, (2013) International Review on Modelling and Simulations (IREMOS), 6 (6), pp. 1891-1898.

Damiano, A., Gatto, G., Marongiu, I., Meo, S., Perfetto, A., Serpi, A., A predictive direct torque control of induction machines, (2012) International Review of Electrical Engineering (IREE), 7 (4), pp. 4837-4844.

Meo, S., Ometto, A., Rotondale, N., Influence of closed-loop control operations on detecting induction machine stator faults, (2012) International Review of Electrical Engineering (IREE), 7 (3), pp. 4359-4365.

Meo, S., Perfetto, A., A predictive control of a DPWM quasi resonant inverter feeding induction motors, (2012) International Review on Modelling and Simulations (IREMOS), 5 (2), pp. 1122-1127.

Gatto, G., Marongiu, I., Meo, S., Perfetto, A., Comparison among different voltage feeding algorithms for quasi-resonant DC link inverter-fed I. M. drives based on state feedback approach, (2011) International Review on Modelling and Simulations (IREMOS), 4 (4), pp. 1506-1512.

Attaianese, Ciro, Meo, Santolo, Perfetto, Aldo, Voltage feeding algorithm for direct torque control of induction motor drives using state feedback, (1998) IECON Proceedings (Industrial Electronics Conference), 2, pp. 586-590.


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