15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
INTERNAL MODEL BASED SENSORLESS CONTROL OF A CLASS OF ELECTRICAL MACHINES
A. Astolfi*   R. Ortega**
* Dipartimento di Elettronica e Informazione
Politecnico di Milano, 20133 Milano, Italy
and Electrical Engineering Department, Imperial College
Exhibition Road, London SW7 2BT, UK
E-mail: a. astolfi@ic.ac.uk
** Laboratoire des Signaux et Systémes, Supelec
Plateau de Moulon, 91192 Gif-sur-Yvette, France
E-mail: Rameo.Ortega@lss.supelec.fr

The problem of sensorless (local) speed regulation of a class of electrical machines is addressed and solved using a simple linear-time varying controller. The class, which contains permanent magnet synchronous motors, consists of all Blondel--Parks transformable machines, and of all machines whose magneto motive force can be approximated by a first harmonic Fourier expansion. The controller---which contains an internal model of the steady-state control---is able to asymptotically reconstruct the control signal necessary to achieve speed regulation, even in the presence of unknown but constant load torque. To prove global stability and boundedness of the unforced system we exploit the by now well--known passivity property of electro-mechanical systems. We work out in detail the problem of speed regulation for a permanent magnet synchronous motor, for which normalized simulations that illustrate the properties of the design are provided.
Keywords: Nonlinear control, internal model, electrical machines, BP transformation
Session slot T-We-A21: Posters of Nonlinear Systems/Area code 2c : Non-linear Systems