FLOC 2018: FEDERATED LOGIC CONFERENCE 2018
Language constrained stabilization of discrete- time switched linear systems: an LMI approach

Authors: Marc Jungers, Antoine Girard and Mirko Fiacchini

Paper Information

Title:Language constrained stabilization of discrete- time switched linear systems: an LMI approach
Authors:Marc Jungers, Antoine Girard and Mirko Fiacchini
Proceedings:ADHS Full papers
Editor: Alessandro Abate
Keywords:aa, bb, cc
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.

Pages:6
Talk:Jul 11 10:50 (Session 63B: Switched Systems 1)
Paper: