Nonlinear observer for the PM synchronous motor

This paper deals with nonlinear states and parameters estimation of a permanent magnet synchronous motor (PMSM) without mechanical sensors. In the proposed method, a change of coordinates is established in order to transform the PMSM system into an observer form which enables us to apply an adaptive or a high gain observer. Then the load torque, rotor speed and some parameters can be estimated from both measurable currents and voltages. The efficiency of the proposed methods is illustrated by the simulation results.

[1]  G. Besançon,et al.  On adaptive observers for state affine systems , 2006 .

[2]  Henk Nijmeijer,et al.  Time scaling for observer design with linearizable error dynamics , 2004, Autom..

[3]  Franck Plestan,et al.  Linearization by completely generalized input-output injection , 1999, Kybernetika.

[4]  A. Krener,et al.  Nonlinear observers with linearizable error dynamics , 1985 .

[5]  Alain Glumineau,et al.  Sensorless speed control of PMSM via adaptive interconnected observer , 2011, Int. J. Control.

[6]  G. Besancon,et al.  On adaptive observers for state affine systems and application to synchronous machines , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[7]  R. Marino,et al.  Global adaptive observers for nonlinear systems via filtered transformations , 1992 .

[8]  M. Boussak.  Implementation and experimental investigation of sensorless speed control with initial rotor position estimation for interior permanent magnet synchronous motor drive , 2005, IEEE Transactions on Power Electronics.

[9]  Driss Boutat,et al.  GEOMETRICAL CONDITIONS FOR OBSERVER ERROR LINEARIZATION VIA 0 → 1, … → (N – 2) – ∨ , 2007 .

[10]  Alain Glumineau,et al.  An Adaptive Interconnected Observer for Sensorless Control of PM Synchronous Motors With Online Parameter Identification , 2013, IEEE Transactions on Industrial Electronics.

[11]  John Chiasson,et al.  Modeling and High Performance Control of Electric Machines , 2005 .

[12]  Driss Boutat,et al.  On the transformation of nonlinear dynamical systems into the extended nonlinear observable canonical form , 2011, Int. J. Control.

[13]  Alan F. Lynch,et al.  Observer design using a generalized time-scaled block triangular observer form , 2009, Syst. Control. Lett..

[14]  Malek Ghanes,et al.  On Sensorless Induction Motor Drives: Sliding-Mode Observer and Output Feedback Controller , 2009, IEEE Transactions on Industrial Electronics.

[15]  J. Rudolph,et al.  A block triangular nonlinear observer normal form , 1994 .

[16]  Mondher Farza,et al.  A Simple Observer for a Class of Nonlinear Systems , 1998 .

[17]  Juhoon Back,et al.  Dynamic Observer Error Linearization , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[18]  Qinghua Zhang,et al.  Adaptive observer for multiple-input-multiple-output (MIMO) linear time-varying systems , 2002, IEEE Trans. Autom. Control..

[19]  Driss Boutat,et al.  Extended output depending normal form , 2013, Autom..

[20]  Jin H. Seo,et al.  Nonlinear observer design by dynamic observer error linearization , 2004, IEEE Transactions on Automatic Control.

[21]  Roberto Oboe,et al.  Sensorless full-digital PMSM drive with EKF estimation of speed and rotor position , 1999, IEEE Trans. Ind. Electron..

[22]  Malek Ghanes,et al.  A robust sensorless output feedback controller of the induction motor drives: new design and experimental validation , 2010, Int. J. Control.

[23]  Arthur J. Krener,et al.  Linearization by output injection and nonlinear observers , 1983 .

[24]  X. Xia,et al.  Nonlinear observer design by observer error linearization , 1989 .

[25]  Driss Boutat,et al.  Single Output-Dependent Observability Normal Form , 2007, SIAM J. Control. Optim..

[26]  Alan F. Lynch,et al.  Nonlinear observers with approximately linear error dynamics: the multivariable case , 2001, IEEE Trans. Autom. Control..

[27]  M. Konghirun,et al.  An Improved Sliding Mode Observer for Speed Sensorless Vector Control Drive of PMSM , 2006, 2006 CES/IEEE 5th International Power Electronics and Motion Control Conference.

[28]  D. Janiszewski,et al.  Extended Kalman Filter Based Speed Sensorless PMSM Control with Load Reconstruction , 2006, IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics.

[29]  Driss Boutat,et al.  New algorithm for observer error linearization with a diffeomorphism on the outputs , 2009, Autom..

[30]  Philippe Jouan.  Immersion of Nonlinear Systems into Linear Systems Modulo Output Injection , 2003, SIAM J. Control. Optim..

[31]  A. Phelps.  On constructing nonlinear observers , 1991 .

[32]  Riccardo Marino,et al.  Nonlinear control design: geometric, adaptive and robust , 1995 .

[33]  M. Hou,et al.  Observer with linear error dynamics for nonlinear multi-output systems , 1999 .

[34]  Silverio Bolognani,et al.  Extended Kalman filter tuning in sensorless PMSM drives , 2003 .

[35]  John Chiasson,et al.  Nonlinear speed observer for the PM stepper motor , 1993, IEEE Trans. Autom. Control..

[36]  M. Ghanes,et al.  Observability Analysis and Improved Zero‐Speed Position Observer Design of Synchronous Motor with Experimental Results , 2013 .

[37]  N. Salvatore,et al.  Adaptive sliding-mode observer for field oriented sensorless control of SPMSM , 2003, 2003 IEEE International Symposium on Industrial Electronics ( Cat. No.03TH8692).

[38]  H. Keller.  Non-linear observer design by transformation into a generalized observer canonical form , 1987 .