Print Email Facebook Twitter A graph-oriented approach to address generically flat outputs in structured LTI discrete-time systems Title A graph-oriented approach to address generically flat outputs in structured LTI discrete-time systems Author Boukhobza, Taha (Lorraine University) van der Woude, J.W. (TU Delft Mathematical Physics) Commault, Christian (Université Grenoble Alpes) Millérioux, Gilles (Lorraine University) Date 2022 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. Subject FlatnessGraph theoryStructured linear systems To reference this document use: http://resolver.tudelft.nl/uuid:01548b0e-515f-437f-a845-e4d6269b9660 DOI https://doi.org/10.1016/j.automatica.2022.110344 Embargo date 2023-07-01 ISSN 0005-1098 Source Automatica, 142 Bibliographical note Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. Part of collection Institutional Repository Document type journal article Rights © 2022 Taha Boukhobza, J.W. van der Woude, Christian Commault, Gilles Millérioux Files PDF 1_s2.0_S0005109822001947_main.pdf 868.86 KB Close viewer /islandora/object/uuid:01548b0e-515f-437f-a845-e4d6269b9660/datastream/OBJ/view