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Maraoui S, Bouzrara K. ARX model decomposed on Meixner-Like orthonormal bases. ISA Trans. 2019;95:278-294doi: 10.1016/j.isatra.2019.05.017.
Maraoui, S., & Bouzrara, K. (2019). ARX model decomposed on Meixner-Like orthonormal bases. ISA transactions, 95278-294. https://doi.org/10.1016/j.isatra.2019.05.017
Maraoui, Safa, and Bouzrara, Kais. "ARX model decomposed on Meixner-Like orthonormal bases." ISA transactions vol. 95 (2019): 278-294. doi: https://doi.org/10.1016/j.isatra.2019.05.017
Maraoui S, Bouzrara K. ARX model decomposed on Meixner-Like orthonormal bases. ISA Trans. 2019 Dec;95:278-294. doi: 10.1016/j.isatra.2019.05.017. Epub 2019 May 23. PMID: 31146964.
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ISA Trans. 2019 Dec;95:278-294. doi: 10.1016/j.isatra.2019.05.017. Epub 2019 May 23.

ARX model decomposed on Meixner-Like orthonormal bases.

ISA transactions

Safa Maraoui, Kais Bouzrara

Affiliations

  1. Research Laboratory of Automatic, signal processing and Image (LARATSI) ,National School of Engineers of Monastir (ENIM), University of Monastir, Tunisia. Electronic address: [email protected].
  2. Research Laboratory of Automatic, signal processing and Image (LARATSI) ,National School of Engineers of Monastir (ENIM), University of Monastir, Tunisia.

PMID: 31146964 DOI: 10.1016/j.isatra.2019.05.017

Abstract

The present study provides a new modeling of linear slowly starting systems. More precisely, this new approach extends the technique of filtering only the input using Meixner-Like (M-L) filters to filter both the output and input of the system outlined by an ARX model. Therefore, the idea is to develop the input and output parameters of ARX modeling over 2 M-L bases. So as to ensure an optimal representation, the two M-L poles are optimized using Newton-Raphson (N-R) and Genetic Algorithms (GA) methods. A new method is proposed for Model Predictive Control (MPC) using the obtained optimal model that is called ARXMeixner-Like (ARXM-L). A numerical example of system having delay and three examples of experimental research: A supersonic jet engine inlet, a Process Trainer PT326 and a Quanser aero experiment with one degree of freedom attitude control are made.

Copyright © 2019 ISA. Published by Elsevier Ltd. All rights reserved.

Keywords: ARX model; Genetic algorithms; MPC control; Meixner-like basis; Newton–Raphson method; Poles optimization

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