Journal of Systems Science and Complexity

, Volume 31, Issue 3, pp 621–646 | Cite as

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

  • Adaily Sameh
  • Mbarek Abdelkader
  • Garna Tarek
  • Ragot José


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).


ARX-Laguerre model Laguerre poles multimodel approach optimization 


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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  • Adaily Sameh
    • 1
  • Mbarek Abdelkader
    • 1
  • Garna Tarek
    • 1
    • 2
  • Ragot José
    • 3
  1. 1.Laboratory of Automatic Control, Signal and Image Processing, National Engineering School of MonastirUniversity of MonastirMonastirTunisia
  2. 2.Higher Institute of Applied Science and Technology of SousseUniversity of SousseSousseTunisia
  3. 3.Center of Research on Automatic of NancyCNRSVandoeuvre CedexFrance

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