This paper mainly deals with the design of an advanced control law with an observer for a special class of nonlinear systems. We design an observer with a gain as a function of speed. We study the solution to the output feedback torque and rotor flux-tracking problem for an induction motor model given in the natural frame. We propose a new robust nonlinear observer and prove the global stability of the interlaced controller-observer system. The control algorithm is studied through simulations and applied in many configurations (various set points, flux and speed profiles and torque disturbances), and is shown to be very efficient.
@article{bwmeta1.element.bwnjournal-article-amcv15i2p235bwm, author = {Chenafa, Mohammed and Mansouri, Abdellah and Bouhenna, Abderrahmane and Etien, Eric and Belaidi, Abdelkader and Denai, Mouloud}, title = {Global stability of linearizing control with a new robust nonlinear observer of the induction motor}, journal = {International Journal of Applied Mathematics and Computer Science}, volume = {15}, year = {2005}, pages = {235-243}, zbl = {1121.93363}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv15i2p235bwm} }
Chenafa, Mohammed; Mansouri, Abdellah; Bouhenna, Abderrahmane; Etien, Eric; Belaidi, Abdelkader; Denai, Mouloud. Global stability of linearizing control with a new robust nonlinear observer of the induction motor. International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) pp. 235-243. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv15i2p235bwm/
[000] 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.
[001] 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
[002] Cauet S. (2001): Contribution à l'analyse et la synthèse 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.
[003] Chiason J. (1997): A new approach to dynamic feedback linearization control of an induction motor. - IEEE Trans. Automat. Contr., Vol. 43, No. 3, pp. 391-397.
[004] De Luca A. and Ulivi G. (1989): Design of an exact non-linear controller for induction motors. - IEEE Trans. Automat. Contr., Vol. 34, No. 12, pp. 1304-1307. | Zbl 0689.93029
[005] Gauthier J.P. and Bornard G. (1981): Observability for any u(t) of a class of nonlinear systems. - IEEE Trans. Automat. Contr., Vol. 26, No. 4, pp. 922-926. | Zbl 0553.93014
[006] Grellet G. and Clerc G. (1996): Actionneurs electriques. Principes. Modèles. Commandes. - Paris: Eyrolles.
[007] Isidori A. (1989): Non-linear Control Systems. - Berlin: Springer.
[008] Lubineau D., Dion J.M., Dugar L. and Roye D. (1999): La synthèse d'un controleur non lineaire avance pour les moteurs à induction et la validation experimentale sur reference industrielle. - Laboratoire d'Automatique de Grenoble, CNRS, INGP, UJF, France.
[009] Mansouri A., Chenafa M., Bouhenna A. and Etien E. (2004): Powerful nonlinear observer associated with the field-oriented control of the induction motor. - Int. J. Appl. Math. Comput. Sci., Vol. 14, No. 2, pp. 209-220. | Zbl 1076.93521
[010] 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
[011] Van Raumer T. (1994): Commande non-lineaire d'une machine asynchrone. -Ph.D. thesis, Laboratoire d'Electrotechnique et d'Electronique Industrielle de Toulouse, France.
[012] 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.