Pole Placement Design Methodology of Back-EMF Adaptive Observer for Sensorless PMSM Drives

  • Cesar José Volpato FilhoEmail author
  • Rodrigo Padilha Vieira


This paper proposes a gain design methodology for adaptive observers applied to the estimation of rotor speed of permanent magnet synchronous machines (PMSM). First, a disturbance observer is used for estimation of the back-electromotive force (back-EMF) and avoid undesired nonlinearities in the adaptive observer design. The rotor speed is estimated by a back-EMF adaptive observer based on the PMSM linear model in stationary frame. Both feedback and adaptive gains are analyzed considering the full system in state space form. A pole placement technique is used to design the adaptive and feedback gains, and the mathematical behavior of the speed estimator is obtained. The desired pole locations of the observer are discussed aiming the implementation of a sensorless control scheme. Simulation and experimental results are presented to validate the proposed gain design method.


Permanent magnet synchronous motor Adaptive observer Adaptive gain design Sensorless control 



This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior-Brasil (CAPES/PROEX)-Finance Code 001, Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq - Projeto 422026/2016-6), the Fundação de Amparo à Pesquisa do Estado do RS (FAPERGS), INCT-GD and by the Programa de Pós-Graduação em Engenharia Elétrica da Universidade Federal de Santa Maria (PPGEE–UFSM).


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Copyright information

© Brazilian Society for Automatics--SBA 2019

Authors and Affiliations

  1. 1.Power Electronics and Control Research Group - GEPOCFederal University of Santa Maria - UFSMSanta MariaBrazil

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