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Article Dans Une Revue Systems and Control Letters Année : 2021

Characterization of flat outputs of switched linear discrete-time systems: algebraic condition and algorithm

Résumé

The problem of flat output characterization for switched linear discrete-time systems is addressed. First, an algebraic condition for an output to be flat is provided. It applies for I-flat outputs with the integer I potentially strictly greater than 1. Next, it is proved that such a characterization is decidable. Finally, an efficient algorithm which allows to decide in polynomial time whether a given output is flat is given. The algorithm is built from the observation that the flat output characterization can be expressed in terms of dead-beat stability of an associated constrained switched system. Thus, the notions of joint spectral radius and graph theory play relevant roles in this context.

Domaines

Automatique
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Dates et versions

hal-03292344 , version 1 (20-07-2021)

Identifiants

Citer

Gilles Millérioux, Raphaël Jungers. Characterization of flat outputs of switched linear discrete-time systems: algebraic condition and algorithm. Systems and Control Letters, 2021, 154, pp.104970. ⟨10.1016/j.sysconle.2021.104970⟩. ⟨hal-03292344⟩
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