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An extended observer based-controller applied to sensorless PMSM drive using the mean value theorem and Lipchitz models

Author

Listed:
  • Bilal Hamidani

    (El Oued University)

  • Abdelkrim Allag

    (El Oued University)

  • Okba Zeghib

    (El Oued University)

  • Abrar Allag

    (Biskra University)

Abstract

The focus of this paper is on the notion of an extended observer based on a state feedback controller. The mean value theorem and sector non-linearity approaches were implemented for a class of the Lipchitz model of permanent magnet synchronous machine (PMSM). Based on these mathematical approaches, the proposed design allows the expression of non-linear error dynamics for the state control and the extended observer becomes a convex combination of known matrices that have time varying coefficients. This is similar to a linear parameter varying systems after the non-linear system of the PMSM is represented in the Lipchitz form. Through the Lyapunov theory, one can obtain and express the stability conditions in a term of linear matrix inequalities. The extended observer and the controller gains are separately determined based on the separation principles and have gotten by the exploitation of YALMIP software computer. Furthermore, these gains have completely independent from the PMSM states. As a proof of the efficacy of the proposed approach, one applies an illustrative simulation to the sensorless field oriented control of the PMSM drive by utilizing the MATLAB/SIMULINK environment.

Suggested Citation

  • Bilal Hamidani & Abdelkrim Allag & Okba Zeghib & Abrar Allag, 2019. "An extended observer based-controller applied to sensorless PMSM drive using the mean value theorem and Lipchitz models," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(6), pages 1527-1534, December.
    • Handle: RePEc:spr:ijsaem:v:10:y:2019:i:6:d:10.1007_s13198-019-00902-w
    DOI: 10.1007/s13198-019-00902-w
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