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Finite-time and fixed-time stabilization for integrator chain of arbitrary order

Konstantin Zimenko 1 Andrey Polyakov 2, 3 Denis Efimov 2, 3 Wilfrid Perruquetti 2
1 ITMO - National Research University of Information Technologies, Mechanics and Optics [St. Petersburg]
2 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
3 NON-A-POST - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe
Abstract : In the present paper, homogeneous control laws are designed for finite-time and fixed-time stabilization of integrator chains of arbitrary order. Provided analysis is based on Lyapunov function method and homogeneity concept. Fixed-time convergence is achieved by use of hybrid control algorithm with homogeneity degree changing. Performance of the resulting finite-time and fixed-time feedbacks is illustrated by numerical simulations.
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Submitted on : Tuesday, May 22, 2018 - 1:30:32 PM
Last modification on : Friday, December 11, 2020 - 6:44:04 PM
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  • HAL Id : hal-01797154, version 1

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Konstantin Zimenko, Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. Finite-time and fixed-time stabilization for integrator chain of arbitrary order. ECC 2018 - 17th European Control Conference, Jun 2018, Limassol, Cyprus. ⟨hal-01797154⟩

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