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
Flatness
Graph theory
Structured 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