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Adaptive nonlinear control of induction motors via extended matching

  • Part II Adaptive Nonlinear Control
  • Conference paper
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Foundations of Adaptive Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 160))

Abstract

A nonlinear adaptive state-feedback input-output linearizing control is designed for a fifth order model of an induction motor which includes both electrical and mechanical dynamics under the assumptions of linear magnetic circuits. The control algorithm contains a nonlinear identification scheme which asymptotically tracks the true values of the load torque and rotor resistance, which are assumed to be constant but unknown. Once those parameters are identified, the two control goals of regulating rotor speed and rotor flux amplitude are decoupled. Full state measurements are required.

We would like to thank Prof. A. Bellini for providing us the data of the motor and for useful discussions. This work was supported in part by Ministero della Università e della Ricerca Scientifica e Tecnologica (fondi 40%).

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References

  1. A. Isidori, Nonlinear Control Systems, 2nd ed., Berlin, Springer-Verlag, 1989.

    Google Scholar 

  2. H. Nijmeijer and A. van der Schaft, Nonlinear Dynamical Control Systems, Berlin, Springer-Verlag, 1990.

    Google Scholar 

  3. R. Marino, I. Kanellakopoulos, and P. Kokotovic, “Adaptive tracking for feedback linearizable SISO systems,” in Proc. 28th IEEE Conf. Dec. Control, Tampa, FL, pp. 1002–1007, Dec. 1989.

    Google Scholar 

  4. S. Sastry and A. Isidori, “Adaptive control of linearizable systems,” IEEE Trans. Aut. Control, vol. 34, pp. 1123–1131, Nov. 1989.

    Google Scholar 

  5. D. Taylor, P. Kokotovic, R. Marino, and I. Kanellakopoulos, “Adaptive regulation of nonlinear systems with unmodeled dynamics,” IEEE Trans. Aut. Control, vol. 34, pp. 405–412, April 1989.

    Google Scholar 

  6. I. Kanellakopoulos, P. Kokotovic, and R. Marino, “An extended direct scheme for robust adaptive nonlinear control,” Automatica, to appear, March 1991.

    Google Scholar 

  7. A. De Luca and G. Ulivi, “Dynamic decoupling of voltage frequency controlled induction motors,” in 8th Int. Conf. on Analysis and Optimization of Systems, INRIA, Antibes, pp. 127–137, 1988.

    Google Scholar 

  8. A. De Luca and G. Ulivi, “Design of exact nonlinear controller for induction motors,” IEEE Trans. Aut. Control, vol. AC-34, pp. 1304–1307, Dec. 1989.

    Google Scholar 

  9. Z. Krzeminski, “Nonlinear control of induction motors,” in 10th IFAC World Congress, Münich, pp. 349–354, 1987.

    Google Scholar 

  10. R. Marino, S. Peresada, and P. Valigi, “Adaptive partial feedback linearization of induction motors,” in Proc. 29th IEEE Conf. Dec. Control, Honolulu, HI, Dec. 1990.

    Google Scholar 

  11. A. Fitzgerald, C. Kingsley Jr, and S. Umans, Electric Machinery, McGraw-Hill, 1983.

    Google Scholar 

  12. P. Krause, Analysis of Electric Machinery, McGraw-Hill, 1986.

    Google Scholar 

  13. W. Leonhard, Control of Electrical Drives, Berlin, Springer-Verlag, 1985.

    Google Scholar 

  14. P. Krause and C. Thomas, “Simulation of symmetrical induction machinery,” IEEE Trans. Power Apparatus and Systems, vol. PAS-84, no. 11, pp. 1038–1053, 1965.

    Google Scholar 

  15. F. Blaschke, “Das Prinzip der Feldorientierung, die Grundlage für die Transvector Regelung von Asynchronmaschienen,” Siemens-Zeitschrift, vol. 45, pp. 757–760, 1971.

    Google Scholar 

  16. 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.

    Google Scholar 

  17. R. Gabriel and W. Leonhard, “Microprocessor control of induction motors,” in Proc. IEEE/IAS Int. Semiconductor Power Converter Conf., Orlando, FL, pp. 385–396, 1982.

    Google Scholar 

  18. W. Leonhard, “Microcomputer control of high dynamic performance ac-drives: a survey,” Automatica, vol. 22, no. 1, pp. 1–19, Jan. 1986.

    Google Scholar 

  19. G. Verghese and S. Sanders, “Observers for flux estimation in induction machines,” IEEE Trans. Industr. Electronics, vol. 35, pp. 85–94, Feb. 1988.

    Google Scholar 

  20. B. Jakubczyk and W. Respondek, “On linearization of control systems,” Bull. Acad. Pol. Sci., Ser. Sci. Math., vol. 28, no. 9–10, pp. 517–522, 1980.

    Google Scholar 

  21. R. Marino, “On the largest feedback linearizable subsystem,” Syst. Control Lett., vol. 6, pp. 345–351, Jan. 1986.

    Google Scholar 

  22. V. Popov, Hyperstability of Control Systems, Berlin, Springer-Verlag, 1973.

    Google Scholar 

  23. H. Sugimoto and S. Tamai, “Secondary resistance identification of an induction-motor applied model reference adaptive system and its characteristics,” IEEE Trans. Industr. Application, vol. IA-23, pp. 296–303, March 1987.

    Google Scholar 

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Petar V. Kokotović

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© 1991 Springer-Verlag

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Marino, R., Peresada, S., Valigi, P. (1991). Adaptive nonlinear control of induction motors via extended matching. In: Kokotović, P.V. (eds) Foundations of Adaptive Control. Lecture Notes in Control and Information Sciences, vol 160. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0044781

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  • DOI: https://doi.org/10.1007/BFb0044781

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54020-5

  • Online ISBN: 978-3-540-47351-0

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