International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
권호 표지

Adaptive Feedback Linearization Control Based on Airgap Flux Model for Induction Motors

  • Jeon Seok-Ho (School of Electrical Engineering and Computer Science, Seoul National University) ;
  • Baang Dane (School of Electrical Engineering and Computer Science, Seoul National University) ;
  • Choi Jin-Young (School of Electrical Engineering and Computer Science, Seoul National University)
  • Published : 2006.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper presents an adaptive feedback linearization control scheme for induction motors with simultaneous variation of rotor and stator resistances. Two typical modeling techniques, rotor flux model and stator flux model, have been developed and successfully applied to the controller design and adaptive observer design, respectively. By using stator fluxes as states, over-parametrization in adaptive control can be prevented and control strategy can be developed without the need of nonlinear transformation. It also decrease the relative degree for the flux modulus by one, thereby, yielding, a simple control algorithm. However, when this method is used for flux observer, it cannot guarantee the convergence of flux. Similarly, the rotor flux model may be appropriate for observers, but it is not so for adaptive controllers. In addition, if these two existing methods are merged into overall adaptive control system, it brings about structural complexies. In this paper, we did not use these two modeling methods, and opted for the airgap flux model which takes on only the positive aspects of the existing rotor flux model and stator flux model and prevents structural complexity from occuring. Through theoretical analysis by using Lyapunov's direct method, simulations, and actual experiments, it is shown that stator and rotor resistances converge to their actual values, flux is well estimated, and torque and flux are controlled independently with the measurements of rotor speed, stator currents, and stator voltages. These results were achieved under the persistent excitation condition, which is shown to hold in the simulation.

Keywords

References

  1. F. Blaschke, 'The principle of field orientation applied to the new transvector closed-loop control system for rotating field machines,' Siemens-Rev., vol. 39, pp. 217-220, 1972
  2. P. Vas, Electrical Machines and Drives, Clarendon Press, Oxford, 1992
  3. X. Xu, R. De Doncker, and D. W. Novotny, 'A stator flux oriented induction machine drive,' Proc. of PESC, pp. 870-876,1988
  4. W. L. Erdman and R. G. Hoft, 'Induction machine field orientation along airgap and stator flux,' IEEE Trans. on Energy Conversion, vol. 5, no. 1, pp. 115-120, 1990 https://doi.org/10.1109/60.50822
  5. X. Xu and D. W. Novotny, 'Implementation of direct stator flux orientation control on a versatile DSP based system,' IEEE Trans. Ind. Applicat., vol. 27, no. 4, pp. 694-700, 1991 https://doi.org/10.1109/28.85484
  6. T. G. Habetler, F. Profumo, G. Griva, M. Pastorelli, and A. Bettini, 'Stator resistance tuning in a stator-flux field-oriented drive using an instantaneous hybrid flux estimator,' IEEE Tran. on Power Electronics, vol. 13, no. 1, pp. 125-133, 1998 https://doi.org/10.1109/63.654966
  7. Z. Krzeminski, 'Nonlinear feedback and control strategy of the induction motor,' Proc. of IFAC Nonlin. Contr. Systems Design Sympos., Bordeaux, France, pp. 162-167, 1992
  8. A. De Luca and G. Ulvi, 'Design of exact nonlinear controller for induction motors,' IEEE Trans. Automat. Contr., vol. 34, no. 12, pp. 1304-1307, Dec. 1989 https://doi.org/10.1109/9.40783
  9. D.-I. Kim, I.-J. Ha, and M.-S. Ko, 'Control of induction motors via feedback lineariation with input-output decoupling,' Int. J. Contr., vol. 51, pp. 863-883, 1990 https://doi.org/10.1080/00207179008934102
  10. R. Marino, S. Peresada, and P. Valigi, 'Adaptive input-output linearizing control of induction motors,' IEEE Trans. Automat. Contr., vol. 38, no. 2, pp. 208-221, 1993 https://doi.org/10.1109/9.250510
  11. Th. Von Raumer, J. M. Dion, L. Dugard, and J. L. Thomas, 'Applied nonlinear control of an induction motor using digital signal processing,' IEEE Trans. Contr. Syst. Technol., vol. 2, no. 4, pp. 327-335, 1994 https://doi.org/10.1109/87.338653
  12. R. Marino, S. Peresada, and P. Tomei, 'Output feedback control of current-fed induction motors with unknown rotor resistance,' IEEE Trans. Contr. Syst. Technol., vol. 4, no. 4, pp. 336-346, 1996 https://doi.org/10.1109/87.508882
  13. R. Marino, S. Peresada, and P. Tomei, 'Adaptive observer-based control of induction motors with unknown rotor resistance,' Int. J. Adaptive Contr. Signal Proc., vol. 10, pp. 345-363, 1996
  14. J. Chiasson, 'A new approach to dynamic feedback linearization control of an induction motor,' IEEE Trans. Automat. Contr., vol. 43, no. 3, pp. 391-396, 1998 https://doi.org/10.1109/9.661597
  15. R. Marino, S. Peresada, and P. Tomei, 'Global adaptive output feedback control of induction motors with uncertain rotor resistance,' IEEE Trans. Automat. Contr., vol. 44, no. 5, pp. 967- 983, 1999
  16. R. Ortega, P. Nicklasson, and G. Espinosa, 'On speed control of induction motors,' Automatica, vol. 32, no. 3, pp. 455-460, 1996 https://doi.org/10.1016/0005-1098(95)00171-9
  17. G. Espinosa-Perez and R. Ortega, 'An output feedback globally stable controller for induction motors,' IEEE Trans. Automat. Contr., vol. 40, no. 1, pp. 138-143, 1995 https://doi.org/10.1109/9.362883
  18. K.-C. Kim, R. Ortega, and J.-P. Vilaino, 'Theoretical and experimental comparison of two nonlinear controller for current-fed induction motors,' IEEE Trans. Contr. Syst. Technol., vol. 5, no. 3, pp. 338-347, 1997 https://doi.org/10.1109/87.572130
  19. I. Kanellakopoulos, P. T. Krein, and F. Disilvestro, 'Nonlinear flux-observer-based control of induction motor,' Proc. of American Control Conf., Chicago, IL., pp. 1700-1704, 1992
  20. R. Marino and P. Tomei, Nonlinear Control Design - Geometric, Adaptive and Robust, Prentice-Hall, Englewood Cliffs, NJ, 1995
  21. G. C. Verghese and S. R. Sanders, 'Observers for flux estimation in induction machines,' IEEE Trans. on Industrial Electronics, vol. 35, no. 1, pp. 85-94, 1988 https://doi.org/10.1109/41.3067