Design of a Proportional Observer Based on the ARX-Laguerre Model

Hassene BEDOUI^*, Tarek GARNA,
Kamel BEN OTHMAN, Hassani MESSAOUD
LARATSI, National Engineering School of Monastir,
University of Monastir, Monastir, Tunisia
hassenebedoui@gmail.com; {tarek.garna;kamel.benothman;hassani.messaoud}@enim.rnu.tn

* Corresponding author

Abstract: A new ARX-Laguerre representation is recently built to model the dynamics of complex processes [1, 2]. The ARX-Laguerre models have proven their ability to accurately suit the behavior of systems. In this work, the model is exploited to diagnose the system by detecting its defaults. In this paper we build a proportional observer based on the ARX-Laguerre model. Therefore, the designed observer exploits the inputs and outputs of the Laguerre-ARX model to reconstruct the Laguerre filter outputs. The observer gain is calculated to ensure a fast asymptotic convergence of the estimation error. A simulation example is achieved to illustrate the ability of the proposed approach to estimate the Laguerre filter outputs.

Keywords: Diagnosis, ARX-Laguerre, proportional observer, SISO system, LMI, FDI.

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CITE THIS PAPER AS:
Hassene BEDOUI, Tarek GARNA, Kamel BEN OTHMAN, Hassani MESSAOUD, Design of a Proportional Observer Based on theARX-Laguerre Model, Studies in Informatics and Control, ISSN 1220-1766, vol. 24 (4), pp. 471-476, 2015. https://doi.org/10.24846/v24i4y201511