Language constrained stabilization of discrete-time switched linear systems: an LMI approach. Issue 16 (2018)
- Record Type:
- Journal Article
- Title:
- Language constrained stabilization of discrete-time switched linear systems: an LMI approach. Issue 16 (2018)
- Main Title:
- Language constrained stabilization of discrete-time switched linear systems: an LMI approach
- Authors:
- Jungers, Marc
Girard, Antoine
Fiacchini, Mirko - Abstract:
- Abstract: The goal of this paper is to study sufficient conditions to stabilize an autonomous discrete-time switched system, for which the switching law should belong to a constrained language characterized by a nondeterministic automaton. Based on a decomposition into strongly connected components of the automaton, it is shown that it suffices to consider only a nontrivial strongly connected component. Sufficient conditions are provided as a set of Linear Matrix Inequalities (LMIs) related to the automaton states and associated with a min-switching strategy. Equivalence with the periodic stabilization is investigated. A numerical example is provided to illustrate the main result.
- Is Part Of:
- IFAC-PapersOnLine. Volume 51:Issue 16(2018)
- Journal:
- IFAC-PapersOnLine
- Issue:
- Volume 51:Issue 16(2018)
- Issue Display:
- Volume 51, Issue 16 (2018)
- Year:
- 2018
- Volume:
- 51
- Issue:
- 16
- Issue Sort Value:
- 2018-0051-0016-0000
- Page Start:
- 25
- Page End:
- 30
- Publication Date:
- 2018
- Subjects:
- Switched systems -- Stabilizability -- LMI -- Language constrained -- Automaton
Automatic control -- Periodicals
629.805 - Journal URLs:
- https://www.journals.elsevier.com/ifac-papersonline/ ↗
http://www.sciencedirect.com/ ↗ - DOI:
- 10.1016/j.ifacol.2018.08.005 ↗
- Languages:
- English
- ISSNs:
- 2405-8963
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 7202.xml