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Optimal Multimodel Representation by Laguerre Filters Applied to a Communicating Two Tank System

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Abstract

This paper presents the development of a new nonlinear representation by exploiting the multimodel approach and the new linear representation ARX-Laguerre for each operating region. The resulting multimodel, entitled ARX-Laguerre multimodel, is characterized by the parameter number reduction with a recursive representation. However, a significant reduction of this multimodel is subject to an optimal choice of Laguerre poles characterizing each local linear model ARX-Laguerre. Therefore, the authors propose an optimization algorithm to estimate, from input/output measurements, the optimal values of Laguerre poles. The ARX-Laguerre multimodel as well as the proposed optimization algorithm are tested on a continuous stirred tank reactor system (CSTR). Moreover, the authors take into account a practical validation on an experimental communicating two tank system (CTTS).

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Authors and Affiliations

  1. Laboratory of Automatic Control, Signal and Image Processing, National Engineering School of Monastir, University of Monastir, Monastir, 5019, Tunisia

    Adaily Sameh, Mbarek Abdelkader & Garna Tarek

  2. Higher Institute of Applied Science and Technology of Sousse, University of Sousse, Sousse, 4003, Tunisia

    Garna Tarek

  3. Center of Research on Automatic of Nancy, CNRS, 2 Avenue de la for de Haye, 54516, Vandoeuvre Cedex, France

    Ragot José

Authors
  1. Adaily Sameh
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  2. Mbarek Abdelkader
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  3. Garna Tarek
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  4. Ragot José
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Corresponding author

Correspondence to Mbarek Abdelkader.

Additional information

This paper was recommended for publication by Editor CHEN Jie.

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Sameh, A., Abdelkader, M., Tarek, G. et al. Optimal Multimodel Representation by Laguerre Filters Applied to a Communicating Two Tank System. J Syst Sci Complex 31, 621–646 (2018). https://doi.org/10.1007/s11424-017-6047-2

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  • DOI: https://doi.org/10.1007/s11424-017-6047-2

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