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On Consistent Discretization of Finite-time Stable Homogeneous Differential Inclusions

Andrey Polyakov 1 Bernard Brogliato 2
1 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
2 TRIPOP - Modélisation, simulation et commande des systèmes dynamiques non lisses
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann
Abstract : This paper deals with the problem of consistent discretization of the generalized homogeneous differential inclusions which appear, in particular, as mathematical models of many sliding mode systems. An algorithm of consistent implicit discretization for homogeneous finite-time stable system is developed. It preserves the finite-time stability property and reduces the numerical chattering. The scheme is demonstrated for the so-called "nested" second order sliding mode algorithm.
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https://hal.inria.fr/hal-02514847
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Submitted on : Monday, March 23, 2020 - 8:59:06 AM
Last modification on : Wednesday, March 10, 2021 - 3:04:03 PM
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Andrey Polyakov, Bernard Brogliato. On Consistent Discretization of Finite-time Stable Homogeneous Differential Inclusions. 2020. ⟨hal-02514847⟩

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