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
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.
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Submitted on : Thursday, May 17, 2018 - 2:52:39 PM
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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⟩

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