Skip to Main content Skip to Navigation
Journal articles

Finite-time and fixed-time stabilization: Implicit Lyapunov function approach

Andrey Polyakov 1 Denis Efimov 1 Wilfrid Perruquetti 1, 2
1 NON-A - Non-Asymptotic estimation for online systems
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189, Inria Lille - Nord Europe
Abstract : Theorems on Implicit Lyapunov Functions (ILF) for finite-time and fixed-time stability analysis of nonlinear systems are presented. Based on these resutls, new nonlinear control laws are designed for robust stabilization of a chain of integrators. High order sliding mode (HOSM) algorithms are obtained as particular cases. Some aspects of digital implementations of the presented algorithms are studied, it is shown that they possess a chattering reduction ability. Theoretical results are supported by numerical simulations.
Document type :
Journal articles
Complete list of metadata

Cited literature [36 references]  Display  Hide  Download
Contributor : Andrey Polyakov Connect in order to contact the contributor
Submitted on : Monday, December 22, 2014 - 6:06:00 PM
Last modification on : Thursday, January 20, 2022 - 4:17:14 PM
Long-term archiving on: : Monday, March 23, 2015 - 7:46:01 PM


Files produced by the author(s)




Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. Finite-time and fixed-time stabilization: Implicit Lyapunov function approach. Automatica, Elsevier, 2015, 51, pp.332 - 340. ⟨10.1016/j.automatica.2014.10.082⟩. ⟨hal-01098099⟩



Les métriques sont temporairement indisponibles