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Article Dans Une Revue Automatica Année : 2022

A graph-oriented approach to address generically flat outputs in structured LTI discrete-time systems

Résumé

This paper addresses difference flatness for structured LTI discrete-time systems. Two forms of necessary and sufficient conditions for an output to be a structural flat output are given. First, a preliminary result algebraically defines a flat output in terms of invariant zeros regardless whether an LTI system is structured or not. Next, the conditions are expressed in terms of graphical conditions to define a structural flat output. Checking for the graphical conditions calls for algorithms that have polynomial-time complexity and that are commonly used for digraphs. The tractability of the conditions is illustrated on several examples.

Dates et versions

hal-03663239 , version 1 (10-05-2022)

Identifiants

Citer

Taha Boukhobza, Jacob van Der Woude, Christian Commault, Gilles Millérioux. A graph-oriented approach to address generically flat outputs in structured LTI discrete-time systems. Automatica, 2022, 142 (August), pp.110344. ⟨10.1016/j.automatica.2022.110344⟩. ⟨hal-03663239⟩
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