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Guaranteed cost certification for discrete-time linear switched system with a dwell time

Authors :
Jamal Daafouz
Marc Jungers
Centre de Recherche en Automatique de Nancy (CRAN)
Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL)
Institut Universitaire de France (IUF)
Ministère de l'Education nationale, de l’Enseignement supérieur et de la Recherche (M.E.N.E.S.R.)
European Project: 257462,EC:FP7:ICT,FP7-ICT-2009-5,HYCON2(2010)
Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)
Source :
IEEE Transactions on Automatic Control, IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2013, 58 (3), pp.768-772. ⟨10.1109/TAC.2012.2211441⟩, IEEE Transactions on Automatic Control, 2013, 58 (3), pp.768-772. ⟨10.1109/TAC.2012.2211441⟩
Publication Year :
2013
Publisher :
HAL CCSD, 2013.

Abstract

International audience; This paper studies the guaranteed cost of a quadratic criterion associated with a linear discrete-time switched system for all the set of admissible switching laws. The admissible switching laws are here the ones exhibiting a dwell time. The approach provided here is to design an upper bound and a parametrized family of lower bounds of the guaranteed cost as close as possible in order to obtain a certification of the guaranteed cost. The upper bound is determined via a switched Lyapunov function and the lower bounds are obtained via the numerical computation of the cost induced by particular periodic switching laws. The features of the proposed approach are illustrated by a numerical example.

Details

Language :
English
ISSN :
00189286
Database :
OpenAIRE
Journal :
IEEE Transactions on Automatic Control, IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2013, 58 (3), pp.768-772. ⟨10.1109/TAC.2012.2211441⟩, IEEE Transactions on Automatic Control, 2013, 58 (3), pp.768-772. ⟨10.1109/TAC.2012.2211441⟩
Accession number :
edsair.doi.dedup.....b9c55e074eb4a72582bbbd4cbdff4047
Full Text :
https://doi.org/10.1109/TAC.2012.2211441⟩