In this paper, we associate field-oriented control with a powerful nonlinear robust flux observer for an induction motor to show the improvement made by this observer compared with the open-loop and classical estimator used in this type of control. We implement this design strategy through an extension of a special class of nonlinear multivariable systems satisfying some regularity assumptions. We show by an extensive study that this observer is completely satisfactory at low and nominal speeds and it is not sensitive to disturbances and parametric errors. It is robust to changes in load torque, rotational speed and rotor resistance. The method achieves a good performance with only one easier gain tuning obtained from an algebraic Lyapunov equation. Finally, we present results and simulations with concluding remarks on the advantages and perspectives for the observer proposed with the field-oriented control.
@article{bwmeta1.element.bwnjournal-article-amcv14i2p209bwm, author = {Mansouri, Abdellah and Chenafa, Mohammed and Bouhenna, Abderrahmane and Etien, Eric}, title = {Powerful nonlinear observer associated with field-oriented control of an induction motor}, journal = {International Journal of Applied Mathematics and Computer Science}, volume = {14}, year = {2004}, pages = {209-220}, zbl = {1076.93521}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv14i2p209bwm} }
Mansouri, Abdellah; Chenafa, Mohammed; Bouhenna, Abderrahmane; Etien, Eric. Powerful nonlinear observer associated with field-oriented control of an induction motor. International Journal of Applied Mathematics and Computer Science, Tome 14 (2004) pp. 209-220. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv14i2p209bwm/
[000] Blaschke F. (1972): The principle of field orientation as applied to the new transvector closed loop control system for rotating field machines. - Siemens Rev., Vol. XXXIX, No. 5, pp. 217-220.
[001] Bekkouche D., Chenafa M., Mansouri A. and Belaidi A. (1998): A nonlinear control of robot manipulators driven by induction motors. - Proc. 5th Int. Workshop Advanced Motion Control, AMC'98, Coimbra University, Coimbra, Portugal, pp. 393-398.
[002] Bellini, A., Figalli, G and Ulivi, G. (1988): Analysis and design of a microcomputer based observer for induction machine. - Automatica Vol. 24, No. 4, pp. 549-555. | Zbl 0649.93047
[003] Bodson M. and Chiasson J. (1992): A systematic approach for selecting optimal flux references in induction motors. - Proc. IEEE IAS Annual Meeting, Houston, TX, USA, pp. 531-537.
[004] Bornard G., Couennen N. and Cell F. (1988): Regularly Persistent Observers for Bilinear Systems. - Berlin: Springer.
[005] Bornard G. and Hammouri, H. (1991): An observer for a class of nonlinear systems under locally regular inputs. - Techn. Rep., Laboratoire d'Automatique de Grenoble, St Martin d'Heres, France.
[006] Busawon K., Farza M. and Hammouri H. (1998): Observer designs for a special class of nonlinear systems. - Int. J. Contr., Vol. 71, No. 3, pp. 405-418. | Zbl 0944.93003
[007] Chenafa M., Mansouri A. and Bouhenna A. (2002): Commande linearisante avec un observateur d'une classe speciale de systemes non lineaire: Application a un moteur asynchrone. - Proc. 4th Int.Conf. Applied Mathematics and Engineering Sciences, Faculty of Sciences, Ain-Chock, Casablanca, Morocco, book of abstracts, p. 85.
[008] Cauet S (2001): Contribution a l'analyse et la synthese de lois de commande robustes pour la machine asynchrone. - Ph. D. thesis, Universite de Poitiers, Ecole Superieure d'Ingenieurs de Poitiers, Ecole Doctorale des Sciences pour l'Ingenieur, France.
[009] De Luca A. and Ulivi, G. (1989): Design of an exact nonlinear controller for induction motors. - IEEE Trans. Automat. Contr., Vol. 34, No. 12, pp. 1304-1307. | Zbl 0689.93029
[010] De Wit P., Ortega P.R. and Mareels I. (1995): Indirect field oriented control of induction motors, is robustly globally stable. - Proc. 34th IEEE Conf. Decision and Control, New Orleans, LA, pp. 2139-2144.
[011] Garcia G.O., Mendes Luis J.C., Stephan R.M. and Watanabe E.H. (1994): An efficient controller for an adjustable speed induction motor drive. - IEEE Trans. Ind. Electron., Vol. 41, No. 5, pp. 533-539.
[012] Gauthier J.P. and Bornard G.(1981): Observability for any u(t) of a class of nonlinear systems. - IEEE Trans. Automat. Contr., Vol. AC, No. 26, pp. 922-926. | Zbl 0553.93014
[013] Grellet G. and Clerc G. (1996): Actionneurs electriques. Principes. Modeles. Commandes. - Paris: Eyrolles.
[014] Mansouri A., Chenafa A., Bekkouche D. and Belaidi A. (1997): Sliding Mode Control design and Application to robot manipulator Trained by Induction motors. - Proc. IEEA Int. Annual Conference Electronic Engineering, Control Engineering, Vol. 2, IEEA'97, University of Batna, Algeria, pp. 31-35.
[015] Mansouri A., Belaidi A., Chenafa M. and Bouhenna A. (2002): Commande passive avec observateur non lineaire de la machine asynchrone. - Proc. 4th Int. Conf. Applied Mathematics and Engineering Sciences, Faculty of Sciences Ain-Chock, Casablanca, Morocco, book of abstracts, p. 159.
[016] Marino R., Peresada S. and Valigi P. (1993): Adaptive input-output linearizing control of induction motors. - IEEE Trans. Automat. Contr., Vol. 38, No. 2, pp. 208-221. | Zbl 0775.93122
[017] Van Raumer T., Dion J.M., Dugard L. and Thomas J.L. (1994): Applied nonlinear control of an induction motor using digital signal processing. - IEEE Trans. Contr. Syst. Technol., Vol. 2, No. 4, pp. 327-335.
[018] Vas P. (1990): Vector Control of AC Machines. - Oxford: Clarendon Press.
[019] Vas P. (1998): Sensorless vector and direct torque control. - Oxford: Oxford University Press.
[020] Verghese G.C. and Sanders S.R. (1988): Observers for flux estimation in induction machines. - IEEE Trans. Ind. Electron., Vol. 35, No. 1, pp. 85-94.