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A Sliding Mode Multiobserver Based on an Uncoupled Multimodel: An Application on a Transesterification Reaction
Author(s) -
Montacer Nesrine,
Dehri Khadija,
Ben Atia Samah,
Ben Abdennour Ridha
Publication year - 2019
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1959
Subject(s) - convergence (economics) , flexibility (engineering) , control theory (sociology) , nonlinear system , mode (computer interface) , stability (learning theory) , robustness (evolution) , mathematics , computer science , mathematical optimization , physics , chemistry , biochemistry , statistics , control (management) , quantum mechanics , artificial intelligence , machine learning , economics , gene , economic growth , operating system
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.