A graph-oriented approach to address generically flat outputs in structured LTI discrete-time systems - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail 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.
Fichier principal
Vignette du fichier
StructuralFLAToutputs.pdf (435.18 Ko) Télécharger le fichier

Dates et versions

hal-03617812 , version 1 (07-04-2022)

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. 2022. ⟨hal-03617812⟩
150 Consultations
78 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More