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Consistent Discretization of Locally Homogeneous Finite-time Stable Control Systems

Authors :
Bernard Brogliato
Andrey Polyakov
Markus Reichhartinger
Denis Efimov
Finite-time control and estimation for distributed systems (VALSE)
Inria Lille - Nord Europe
Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL)
Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)
Modélisation, simulation et commande des systèmes dynamiques non lisses (TRIPOP )
Inria Grenoble - Rhône-Alpes
Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Kuntzmann (LJK )
Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019])-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019])
Graz University of Technology [Graz] (TU Graz)
Source :
ECC 2019-18th European Control Conference, ECC 2019-18th European Control Conference, Jun 2019, Naples, Italy. pp.1616-1621, ⟨10.23919/ECC.2019.8795633⟩, ECC
Publication Year :
2019
Publisher :
HAL CCSD, 2019.

Abstract

An algorithm of consistent implicit discretization for locally homogeneous finite-time stable system having discontinuity only at the origin is developed. It preserves finite-time stability property in the discrete-time models. The homogeneous domination approach is utilized for analysis of the discretized model. The scheme is demonstrated for a simplified model of a quadrotor control system.

Details

Language :
English
Database :
OpenAIRE
Journal :
ECC 2019-18th European Control Conference, ECC 2019-18th European Control Conference, Jun 2019, Naples, Italy. pp.1616-1621, ⟨10.23919/ECC.2019.8795633⟩, ECC
Accession number :
edsair.doi.dedup.....c506a4a842574b783239dda57b8cb236
Full Text :
https://doi.org/10.23919/ECC.2019.8795633⟩