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 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. Key words: Invariant set characterization, switched systems, invariance principle, observer design, power converter

• Type: Journal
• Year: 2010
• Where: AUTOMATICA
• Authors: Pierre Riedinger, Mario Sigalotti, Jamal Daafouz
• Keywords: Associated Switching Laws, AUTOMATICA 2010, Suitable Lasalle Principle, Switching Laws