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Co-design of an event-triggered dynamic output feedback controller for discrete-time LPV systems with constraints

Authors :
Valter J. S. Leite
Carla de Souza
Sophie Tarbouriech
Eugênio B. Castelan
Équipe Méthodes et Algorithmes en Commande (LAAS-MAC)
Laboratoire d'analyse et d'architecture des systèmes (LAAS)
Université Toulouse Capitole (UT Capitole)
Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse)
Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J)
Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3)
Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP)
Université de Toulouse (UT)-Université Toulouse Capitole (UT Capitole)
Université de Toulouse (UT)
Centro Federal de Educação Tecnológica de Minas Gerais (CEFET-MG)
Universidade Federal de Santa Catarina = Federal University of Santa Catarina [Florianópolis] (UFSC)
Source :
Journal of The Franklin Institute, Journal of The Franklin Institute, 2022, 359 (2), pp.697-718. ⟨10.1016/j.jfranklin.2021.04.028⟩
Publication Year :
2022
Publisher :
Elsevier BV, 2022.

Abstract

International audience; This paper investigates an event-triggered control design approach for discrete-time linear parametervarying (LPV) systems under control constraints. The proposed conditions can simultaneously design a parameter-dependent dynamic output feedback controller and an event generator, ensuring the closedloop system's regional asymptotic stability. Based on the Lyapunov stability theory, these conditions are given in terms of linear matrix inequalities (LMIs). Moreover, using some proposed optimization procedures, it is possible to minimize the number of sensor transmissions, maximize the estimation of the region of attraction of the origin, and incorporate optimal control criteria into the formulation. Through numerical examples, some comparisons with other approaches in the literature evidence the proposed technique's efficacy.

Details

ISSN :
00160032
Volume :
359
Database :
OpenAIRE
Journal :
Journal of the Franklin Institute
Accession number :
edsair.doi.dedup.....23a73eef64dda493530effc81e319ff5
Full Text :
https://doi.org/10.1016/j.jfranklin.2021.04.028