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

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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https://hal.inria.fr/hal-01797154
Contributor : Andrey Polyakov <>
Submitted on : Tuesday, May 22, 2018 - 1:30:32 PM
Last modification on : Friday, December 11, 2020 - 6:44:04 PM
Long-term archiving on: : Monday, September 24, 2018 - 5:04:31 PM

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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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