Optimal Systematic Determination of Models’ Base for Multimodel Representation: Real Time Application

Ltaïef, Majda; Messaoud, Anis; Abdennour, Ridha Ben

doi:10.1007/s11633-014-0815-4

Cited by 21 publications

(14 citation statements)

References 20 publications

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“…Firstly, a set of input/output measurements are collected from the real system in the different operating regimes. Secondly, the multimodel structure is established (the number of partial models, the decision variable choice) using the static characteristic or by classification methods . The coupled multimodel is characterized by its complexity including the important parameters number which causes the performances degradation.…”

Section: Experimental Validation Of the Proposed Multiobserver On A Tmentioning

confidence: 99%

A Sliding Mode Multiobserver Based on an Uncoupled Multimodel: An Application on a Transesterification Reaction

Montacer

Dehri

Atia

et al. 2018

Asian Journal of Control

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This paper concerns the design of robust sliding mode multiobserver for nonlinear systems. A discrete uncoupled multimodel structure is retained for the modeling of nonlinear systems. Unlike the classically used multimodel structures, the retained uncoupled multimodel is known by its flexibility of modeling, thus, the structures of the partial models are adapted to the complexity of the local models in each operating zone. Sufficient conditions are provided, in terms of linear matrix inequalities (LMIs), to ensure the asymptotic stability of the proposed sliding mode multiobserver. A convergence analysis is achieved to obtain the convergence radius. A numerical example and a real time application on a transesterification reactor are carried out to illustrate, once again, the performance of the proposed sliding mode multiobserver in terms of precision and rapidity of convergence.

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Section: Experimental Validation Of the Proposed Multiobserver On A Tmentioning

confidence: 99%

A Sliding Mode Multiobserver Based on an Uncoupled Multimodel: An Application on a Transesterification Reaction

Montacer

Dehri

Atia

et al. 2018

Asian Journal of Control

Self Cite

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“…The performances obtained by the new proposed validities calculation strategy incited us to apply it on a real model of chemical reactor [5], [11].…”

Section: Validation On a Chemical Reactormentioning

confidence: 99%

“…The process is considered as a mono-variable system where the control variable is the electric power Q supplied by the heating resistors while the output is the reactor temperature T r [5].…”

Section:  Reaction Phasementioning

confidence: 99%

“…In the literature, three different methods may be employed for the determination of the models' base [9]. The first one is only based on the measures of inputs/outputs of the system from which are estimated the different models' parameters [5], [10], [11]. For the second and the third method, we supposed to have a nonlinear mathematical model, the base-models are obtained either by linearization around the different operating points [1], or by convex polytopic transformation [6], [12].…”

Section: Introductionmentioning

confidence: 99%

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A New Strategy of Validities’ Computation for Multimodel Approach: Experimental Validation

Messaoud¹,

Aoun²,

Ksouri³

2017

ijacsa

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Abstract-The evaluation of validities is a fundamental step in the design of the multimodel approach. Indeed, it is thanks to validities that we estimate the contribution of each base-model in the reproduction of the behavior of the global process in a given operating area. These coefficients are calculated most commonly by the approach of the residues formulated by the distance between the real output and the sub-models' outputs. In this paper, a strategy allowing to improve the performances of the residues' approach in terms of precision and robustness is proposed. This strategy is based on a quasi-hierarchical structuring. A simulation example and a validation on a semibatch reactor showed the interest and the effectiveness of the proposed strategy.

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“…• The decomposition of the nonlinear system operating space basing on the static characteristic of the system or on the classification procedure [20,21,23,25,26].…”

Section: A Decoupled State Multimodel For the Representation Of Nmentioning

confidence: 99%

Supervised Multi‐Rejector of Periodic Disturbances for Nonlinear Systems Using Decoupled State Multimodel

Allaoui¹,

Messaoud²,

Dehri³

et al. 2015

Asian Journal of Control

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In this paper, a multi-rejector of periodic disturbances is proposed for discrete-time nonlinear systems represented by a decoupled state multimodel. We report a decoupled state multimodel repetitive-predictive control based on a supervised algorithm to ensure reference trajectory tracking and periodic disturbances rejection. Partial predictors associated to the local controllers make the best choice of the most valid partial controller that meets the desired closed loop performances. The effectiveness of the supervised multi-rejector is shown via a simulation example. The obtained results are satisfactory and show a good rejection of periodic disturbances and reference trajectory tracking.

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Optimal Systematic Determination of Models’ Base for Multimodel Representation: Real Time Application

Cited by 21 publications

References 20 publications

A Sliding Mode Multiobserver Based on an Uncoupled Multimodel: An Application on a Transesterification Reaction

A Sliding Mode Multiobserver Based on an Uncoupled Multimodel: An Application on a Transesterification Reaction

A New Strategy of Validities’ Computation for Multimodel Approach: Experimental Validation

Supervised Multi‐Rejector of Periodic Disturbances for Nonlinear Systems Using Decoupled State Multimodel

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