Language constrained stabilization of discrete-time switched linear systems: an LMI approach

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.
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https://hal.archives-ouvertes.fr/hal-01899003
Contributor : Marc Jungers <>
Submitted on : Friday, October 19, 2018 - 10:54:07 AM
Last modification on : Thursday, February 21, 2019 - 4:25:58 PM

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  • HAL Id : hal-01899003, version 1

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Marc Jungers, Antoine Girard, Mirko Fiacchini. Language constrained stabilization of discrete-time switched linear systems: an LMI approach. 6th IFAC Conference on Analysis and Design of Hybrid System, ADHS 2018, Jul 2018, Oxford, United Kingdom. ⟨hal-01899003⟩

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