Autors: Mishkov, R. L., Petrov, V. S.
Title: Advanced control nonlinear state space models of permanent magnet synchronous motors
Keywords: Nonlinear systems, Nonlinear transformations, Permanent magn

Abstract: State space nonlinear mathematical models for permanent magnet synchronous motors are derived in the paper using the power invariant dqo rotating transformation. The nonlinear state space models proposed are strictly input-output orientated and linear with respect to the model parameters. The current and flux linkage dqo state space models are much simpler than the original model, their signals are non-periodic and they have better numerical properties for simulation. This allows convenient application of advanced control theory differential geometric design approaches including multi-input multi-output feedback linearization and nonlinear adaptive systems design. The nonlinear state space models derived are simulated to verify their equivalence.


  1. Chiasson J., 2005, Modeling and High Performance Control of Electric Machines, New York, A JOHN WILEY & SONS, INC
  2. Solsona J., Valla M. I., Muravchik C., 2000, Nonlinear Control of a Permanent Magnet Synchronous Motor with Disturbance Torque Estimation, IEEE Transactions on Energy Conversion, Volume 5(2), pp. 163 - 168
  3. Mishkov, R. L, Petrov, V. S, 2011,International Conference Engineering, Technologies and Systems, TechSys 2011: Strictly orientated state space models of permanent-magnet synchronous motors for feedback linearization control, Пловдив, Bulgaria, pp. 335 - 340
  4. Ichikawa S., Tomita M., Doki S., Okuma S., 2006, Sensorless control of permanent-magnet synchronous motors using online parameter identification based on system identification theory, IEEE Transactions on Industrial Electronics, Volume 53(2), pp. 363 - 372
  5. Kaewjinda W., Konghirun M., 1950, Vector Control Drive of Permanent Magnet Synchronous Motor Using Resolver Sensor, ECTI Transactions on Electrical Eng., Electronics, and Communication, Volume 5(1), pp. 134-138
  6. Krishnan R., 2010, Permanent Magnet Synchronous and Brushless DC Motor Drives, Boca Raton, FL, USA, Taylor and Francis Group, LLC
  7. Krishnan R, 2001, Electric Motor Drives: Modeling, Analysis and Control, Upper Saddle River, New Jersey, USA, Prentice Hall
  8. Merzoug M. S., Benalla H., 2010, Nonlinear Backstepping Control of Permanent Magnet Synchronous Motor (PMSM), International Journal of System Control, Volume 1(1), pp. 30 - 34
  9. Ong C.-M., 1998, Dynamic Simulation of Electric Machinery: Using Matlab/Simulink, Upper Saddle River, New Jersey, USA, Prentice Hall
  10. Pillay P., Krishnan R., 1988, Modeling of Permanent-magnet Motor Drives, IEEE Transactions on Industrial Electronics, Volume 35(4), pp. 537 - 541
  11. Pillay P., Krishnan R., 1989, Modeling, Simulation, and Analysis of Permanent-magnet Motor Drives. I. The Permanent-magnet Synchronous Motor Drive, IEEE Transactions on Industrial Applications, Volume 25(2), pp. 265 - 273


International Conference Automatics and Informatics'12, pp. 70 - 73, 2012, Bulgaria,

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