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

Taha Boukhobza 1, * Jacob van der Woude 2 Christian Commault 3 Gilles Millérioux 1
* Corresponding author
1 CRAN - Centre de Recherche en Automatique de Nancy
2 TU Delft - Delft University of Technology
3 GIPSA-INFINITY - GIPSA - Infinite Dimensional Dynamics
GIPSA-PAD - GIPSA Pôle Automatique et Diagnostic
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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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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CRAN | TDS-MACS | UNIV-LORRAINE | CNRS | UGA | GIPSA | GIPSA-PAD | GIPSA-INFINITY | LUE-UL | ANR

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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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