Robust model predictive control for switched linear systems.
Linear fractional transformation
Linear matrix inequality
Robust model predictive control
Switched linear systems
Journal
ISA transactions
ISSN: 1879-2022
Titre abrégé: ISA Trans
Pays: United States
ID NLM: 0374750
Informations de publication
Date de publication:
Jun 2019
Jun 2019
Historique:
received:
13
02
2018
revised:
02
12
2018
accepted:
03
12
2018
pubmed:
8
1
2019
medline:
8
1
2019
entrez:
8
1
2019
Statut:
ppublish
Résumé
Developed is a robust model predictive control scheme for a class of discrete-time switched linear systems. The system is described in linear fractional transformation form in the presence of model uncertainty and induced norm bounded disturbances. The objective is to minimize the upper bound of an infinite horizon cost function subject to a terminal inequality. A Lyapunov function analysis for the switched system shows guaranteed closed-loop stability. Taking into account the switching structure of the system, the predictive control design problem along with sufficient conditions for the existence of a solution is expressed in terms of Riccati-Metzler inequalities. Then, these inequalities are turned into a linear matrix inequality feasibility problem. Three cases are analyzed to demonstrate the performance and effectiveness of the proposed robust model predictive controller for switched discrete-time linear systems.
Identifiants
pubmed: 30612736
pii: S0019-0578(18)30499-3
doi: 10.1016/j.isatra.2018.12.006
pii:
doi:
Types de publication
Journal Article
Langues
eng
Pagination
1-11Informations de copyright
Copyright © 2018 ISA. Published by Elsevier Ltd. All rights reserved.