Recursive set membership estimation for output–error fractional models with unknown–but–bounded errors

Messaoud Amairi

doi:10.1515/amcs-2016-0038

$Recursive set membership estimation for output–error fractional models with unknown–but–bounded errors Cover$

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Recursive set membership estimation for output–error fractional models with unknown–but–bounded errors

International Journal of Applied Mathematics and Computer Science

Volume 26 (2016): Issue 3 (September 2016)

By: Messaoud Amairi

Open Access

|Sep 2016

Abstract

This paper presents a new formulation for set-membership parameter estimation of fractional systems. In such a context, the error between the measured data and the output model is supposed to be unknown but bounded with a priori known bounds. The bounded error is specified over measurement noise, rather than over an equation error, which is mainly motivated by experimental considerations. The proposed approach is based on the optimal bounding ellipsoid algorithm for linear output-error fractional models. A numerical example is presented to show effectiveness and discuss results.

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