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Flatness of two-input control-affine systems linearizable via a two-fold prolongation

Authors :
Florentina Nicolau
Witold Respondek
Mathematics for Control, Transport and Applications (McTAO)
Inria Sophia Antipolis - Méditerranée (CRISAM)
Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)
Laboratoire de Mathématiques de l'INSA de Rouen Normandie (LMI)
Institut national des sciences appliquées Rouen Normandie (INSA Rouen Normandie)
Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)
Nicolau, Florentina
Source :
In the proceedings of The 56th IEEE Conference on Decision and Control, 55th IEEE Conference on Decision and Control, 55th IEEE Conference on Decision and Control, Dec 2016, Las Vegas, United States, CDC
Publication Year :
2016
Publisher :
HAL CCSD, 2016.

Abstract

International audience; We study flatness of two-input control-affine systems, defined on an n-dimensional state-space. We give a geometric characterization of systems that become static feedback linearizable after a two-fold prolongation of a suitably chosen control. They form a particular class of flat systems: they are of differential weight n + 4. We present a normal form compatible with the minimal flat outputs.

Details

Language :
English
Database :
OpenAIRE
Journal :
In the proceedings of The 56th IEEE Conference on Decision and Control, 55th IEEE Conference on Decision and Control, 55th IEEE Conference on Decision and Control, Dec 2016, Las Vegas, United States, CDC
Accession number :
edsair.doi.dedup.....430d3e7a950afaf6a1a31e858870863b