Consistent Discretization of Finite-time Stable Homogeneous Systems

Andrey Polyakov 1 Denis Efimov 1 Bernard Brogliato 2
1 NON-A-POST - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe
2 TRIPOP - Modélisation, simulation et commande des systèmes dynamiques non lisses
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann
Abstract : An algorithm of implicit discretization for generalized homogeneous system having discontinuity only at the origin is developed. It is based on transformation of the original system to an equivalent standard homogeneous system which admits implicit discretization preserving finite-time convergence property. The scheme is demonstrated for a version of the so-called " quasi-continuous " high-order sliding mode algorithm.
Document type :
Conference papers
Complete list of metadatas

Cited literature [28 references]  Display  Hide  Download
https://hal.inria.fr/hal-01794386
Contributor : Andrey Polyakov <>
Submitted on : Thursday, May 17, 2018 - 2:52:39 PM
Last modification on : Friday, July 5, 2019 - 1:17:27 AM
Long-term archiving on : Tuesday, September 25, 2018 - 12:24:19 PM

File

main.pdf
Files produced by the author(s)

Identifiers

Collections

UGA | INRIA | LJK_MAD | LJK-MAD-TRIPOP | LJK

Citation

Andrey Polyakov, Denis Efimov, Bernard Brogliato. Consistent Discretization of Finite-time Stable Homogeneous Systems. VSS 2018 - 15th International Workshop on Variable Structure Systems and Sliding Mode Control, Jul 2018, Graz, Austria. pp.360-365, ⟨10.1109/VSS.2018.8460306⟩. ⟨hal-01794386⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

289

Files downloads

328

Contact


archive-ouverte@inria.fr