On the algebraic characterization of invariant sets of switched linear systems

On the algebraic characterization of invariant sets of switched linear systems

In this paper, a suitable LaSalle principle for continuous-time linear switched systems is used to characterize invariant sets and their associated switching laws. An algorithm to determine algebraically these invariants is proposed. The main novelty of our approach is that we require no dwell time...

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Veröffentlicht in:Automatica (Oxford) 2010-06, Vol.46 (6), p.1047-1052
Hauptverfasser: Riedinger, P., Sigalotti, M., Daafouz, J.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Applied sciences
Automatic
Capacitors
Computer science
control theory
systems
Control systems
Control theory. Systems
Convertors
Electrical engineering. Electrical power engineering
Electrical machines
Engineering Sciences
Exact sciences and technology
Focusing
Invariance principle
Invariant set characterization
Invariants
Laws
Linear systems
Modelling and identification
Observer design
Power converter
Switched systems
Switching
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Beschreibung
Zusammenfassung:In this paper, a suitable LaSalle principle for continuous-time linear switched systems is used to characterize invariant sets and their associated switching laws. An algorithm to determine algebraically these invariants is proposed. The main novelty of our approach is that we require no dwell time conditions on the switching laws. By not focusing on restricted control classes we are able to describe the asymptotic properties of the considered switched systems. Observability analysis of a flying capacitor converter is proposed as an illustration.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2010.03.001