Derivative based control for LPV system with unknown parameters: An application on a Permanent Magnet Synchronous Motors

Sonia Maalej 1 Alexandre Kruszewski 2 Romain Delpoux 3, 1 Lotfi Belkoura 4
1 NON-A - Non-Asymptotic estimation for online systems
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189, Inria Lille - Nord Europe
4 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : This paper deals with the robust stabilization of a class of Linear Parameter Varying (LPV) systems in the continuous time case. Instead of using a state observer or searching for a dynamic output feedback, the controller is based on output derivative estimation. This allows the stabilization of the plant with very large parameter variation and uncertainties. The proof of stability is based on the polytopic representation of the closed loop, Lyapunov conditions and system transformations. The result is a control structure with only few parameters which are tuned via very simple conditions. This paper illustrates the usefulness on real application: Permanent Magnet Synchronous Motors (PMSM) position control.
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Sonia Maalej, Alexandre Kruszewski, Romain Delpoux, Lotfi Belkoura. Derivative based control for LPV system with unknown parameters: An application on a Permanent Magnet Synchronous Motors. 11th International Multi-Conference on Systems, Signals & Devices, Feb 2014, Castelldefels-Barcelona, Spain. ⟨10.1109/SSD.2014.6808870⟩. ⟨hal-01248969⟩

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