Finite-time and fixed-time stabilization: Implicit Lyapunov function approach - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Automatica Year : 2015

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

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.
Fichier principal
Vignette du fichier
FTCILF.pdf (737.4 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-01098099 , version 1 (22-12-2014)

Identifiers

Cite

Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. Finite-time and fixed-time stabilization: Implicit Lyapunov function approach. Automatica, 2015, 51, pp.332 - 340. ⟨10.1016/j.automatica.2014.10.082⟩. ⟨hal-01098099⟩
1917 View
3180 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More