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Journal Articles International Journal of Control Year : 2015

Finite-time Attractive Ellipsoid Method: Implicit Lyapunov Function Approach

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-01227455 , version 1 (11-11-2015)

Identifiers

Cite

Manuel Mera, Andrey Polyakov, Wilfrid Perruquetti. Finite-time Attractive Ellipsoid Method: Implicit Lyapunov Function Approach. International Journal of Control, 2015, ⟨10.1080/00207179.2015.1118660⟩. ⟨hal-01227455⟩
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