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Conference Papers Year : 2015

Finite-time Attractive Ellipsoid Method Using Implicit Lyapunov Functions

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.
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Dates and versions

hal-01212602 , version 1 (06-10-2015)

Identifiers

  • HAL Id : hal-01212602 , version 1

Cite

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⟩
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