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

Bilal Hamidani (), Abdelkrim Allag, Okba Zeghib and Abrar Allag
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Bilal Hamidani: El Oued University
Abdelkrim Allag: El Oued University
Okba Zeghib: El Oued University
Abrar Allag: Biskra University

International Journal of System Assurance Engineering and Management, 2019, vol. 10, issue 6, No 10, 1527-1534

Abstract: 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.

Keywords: Extended observer; State feedback controller; Mean value theorem; Lipchitz model; Linear matrix inequalities; Permanent magnet synchronous machine; Field oriented control (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13198-019-00902-w

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