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Guaranteed cost certification for discrete-time linear switched system with a dwell time
- 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.
- Subjects :
- Lyapunov function
0209 industrial biotechnology
Mathematical optimization
Computation
Linear system
periodic Lyapunov equations
02 engineering and technology
Upper and lower bounds
Computer Science Applications
[SPI.AUTO]Engineering Sciences [physics]/Automatic
Dwell time
symbols.namesake
020901 industrial engineering & automation
Discrete time and continuous time
Control and Systems Engineering
Control theory
0202 electrical engineering, electronic engineering, information engineering
symbols
020201 artificial intelligence & image processing
Lyapunov equation
Quadratic programming
performance certification
Electrical and Electronic Engineering
Switched systems
Mathematics
Subjects
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⟩