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

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-03663239
Contributor : Taha Boukhobza Connect in order to contact the contributor
Submitted on : Tuesday, May 10, 2022 - 7:24:55 AM
Last modification on : Wednesday, May 25, 2022 - 3:01:48 AM

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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, Elsevier, 2022, 142, pp.110344. ⟨10.1016/j.automatica.2022.110344⟩. ⟨hal-03663239⟩

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