Skip to Main content Skip to Navigation
Conference papers

Finite-time Attractive Ellipsoid Method Using Implicit Lyapunov Functions

Manuel Mera 1 Andrey Polyakov 1, 2 Wilfrid Perruquetti 1, 2, 3 Gang Zheng 1, 2
1 NON-A - Non-Asymptotic estimation for online systems
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189, Inria Lille - Nord Europe
Abstract : A finite-time version, based on Implicit Lyapunov Functions (ILF), for the Attractive Ellipsoid Method (AEM) is developed. Based on this, a robust control scheme is presented to ensure finite-time convergence of the solutions of a chain of integrators with bounded output perturbations to a minimal ellipsoidal set. The control parameters are obtained by solving a minimization problem of the " size " of the ellipsoid subject to a set of Linear Matrix Inequalities (LMI's) constraints, and by applying the implicit function theorem. A numerical example is presented to support the implementability of these theoretical results.
Document type :
Conference papers
Complete list of metadatas

Cited literature [28 references]  Display  Hide  Download

https://hal.inria.fr/hal-01212602
Contributor : Andrey Polyakov <>
Submitted on : Tuesday, October 6, 2015 - 10:20:09 PM
Last modification on : Tuesday, September 29, 2020 - 12:24:10 PM
Long-term archiving on: : Thursday, January 7, 2016 - 11:04:33 AM

File

CDC15_1219_FI.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01212602, version 1

Collections

Citation

Manuel Mera, Andrey Polyakov, Wilfrid Perruquetti, Gang Zheng. Finite-time Attractive Ellipsoid Method Using Implicit Lyapunov Functions. 54th conference on Decision and Control, IEEE, Dec 2015, Osaka, Japan. ⟨hal-01212602⟩

Share

Metrics

Record views

350

Files downloads

539