LQR Control of Permanent Magnet Synchronous Motor Based on Exact State Feedback Linearization


(*) Corresponding author


Authors' affiliations


DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)

Abstract


Permanent magnet synchronous motor (PMSM) is a typical nonlinear system with significant coupling. This paper proposes a linear quadratic regulator (LQR) to control the PMSM with exact state feedback linearization. Based on the mathematical model of PMSM, the corresponding affine nonlinear system is constructed and the exact linearization conditions are discussed using differential geometry theory. Applying appropriate coordinate transformation and state feedback transformation, the affine nonlinear model is linearized into a linear system. Then, an optimal controller is designed to control the decoupled linear plant with LQR. Simulations and experiments are performed to verify the effectiveness of the proposed control strategy. The results demonstrate the feasibility of the differential geometry method and reveal the high performance and advantages of the proposed nonlinear controller in dynamic response and steady-stage error regulating characteristics
Copyright © 2013 Praise Worthy Prize - All rights reserved.

Keywords


Permanent Magnet Synchronous Motor (PMSM); Linear Quadratic Regulator (LQR); State Feedback Linearization; Affine Nonlinear System; Differential Geometry Theory

Full Text:

PDF


References


M.C Chou, C.M. Liaw, Development of Robust Current 2-DOF Controllers for a Permanent Magnet Synchronous Motor Drive with Reaction Wheel Load, IEEE Transactions on Power Electronics, vol. 24 n. 5, May 2009, pp. 1304-1320.

Merzoug, M.S., Benalla, H., Sliding mode control of permanent magnet synchronous motor with a space vector modulation, (2010) International Review on Modelling and Simulations (IREMOS), 3 (1), pp. 27-32.

Gatto, G., Marongiu, I., Meo, S., Perfetto, A., Serpi, A., Predictive control of brushless DC motor drive providing minimum joule losses and torque ripple free commutation, (2011) International Review on Modelling and Simulations (IREMOS), 4 (4), pp. 1500-1505.

C. Ortega, A. Arias, C. Caruana, J. Balcells, G.M. Asher, Improved waveform quality in the direct torque control of matrix-converter-fed PMSM drives, IEEE Transactions on Industrial Electronics, vol. 57 n. 6, June 2010, pp. 2101 - 2110.

Y.C. Zhang, J.G. Zhu, Direct torque control of permanent magnet synchronous motor with reduced torque ripple and commutation frequency, IEEE Transactions on Power Electronics, vol. 26 n. 1, January 2011, pp. 235 - 248.

T.Y. Chou, T.H. Liu, T.T. Cheng, Design and Implementation of an Adaptive Inverse Controller for a Micro-Permanent Magnet Synchronous Motor Control System, IET Electric Power Applications, vol. 3 n. 5, September 2009, pp. 471-481.

P.D. Olivier, Feedback linearization of DC motors, IEEE Transactions on Industrial Electronics, vol. 38 n. 6, December 1991, pp. 498 - 501.

S.H. Li, H.X. Liu, S.H. Ding, A Speed Control for a PMSM Using Finite-Time Feedback Control and Distruabance Compensation, Transactions of The Institute of Measurement and Control, vol. 32 n. 2, April 2010, pp. 170-187.

D.G. Taylor, Nonlinear control of electric machines: an overview, IEEE Control Systems Magzine, vol. 14 n. 6, December 1994, pp. 41 - 51.

M. Bodson, J. Chiasson, Differential-geometric methods for control of electric motors, International Journal of Robust and Nonlinear Control, vol. 8 n. 11, September 1998, pp. 923 - 954.

T.K. Boukas, T.G. Habetler, High-performance induction motor speed control using exact feedback linearization with state and state derivative feedback, IEEE Transactions on Power Electronics, vol. 19 n. 4, July 2004, pp. 1022 - 1028.

J. Chiasson, Dynamic feedback linearization of the induction motor, IEEE Transactions on Automatic Control, vol. 38 n. 10, October 1993, pp. 1588 - 1594.

R. Marino, S. Peresada, P. Valigi, Adaptive input-output linearization control of induction motor, IEEE Transactions on Automation Control, vol. 38 n. 2, February 1993, pp. 208 - 212.

M. Bodson, J. Chiasson, R. Novotnak, High performance induction motor control via input-output linearization, IEEE Control Systems Magzine, vol. 14 n. 4, August 1994, pp. 25 - 33.

C.K. Lin, T.H. Liu, S.H. Yang, Nonlinear Position Controller Design with Input-Output Linearization Technique for an Interior Permanent Magnet Synchronous Motor Control System, IET Power Electronics, vol. 1 n. 1, March 2008, pp. 14-26.

C. Olalla, R. Leyva, A. El Aroudi, I. Queinnec, Robust LQR control for PWM converters: an LMI approach, IEEE Transactions on Industrial Electronics, vol. 56 n. 7, July 2009, pp. 2548 - 2558.

B. Kedjar, K. Al-Haddad, DSP-based implementation of an LQR with integral action for a three-phase three-wire shunt active power filter, IEEE Transactions on Industrial Electronics, vol. 56 n. 8, August 2009, pp. 2821 - 2828.

A. Isidori, Nonlinear control system (3rd edition) (London: Springer-Verlag, 1995).

R. Marino, P. Tomei, Nonlinear control design:geometric, adaptive and robust (London: Prentice Hall, 1995).


Refbacks

  • There are currently no refbacks.


Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize