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

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

Published:2016-09-01 Issue:3 Volume:26 Page:543-553
ISSN:2083-8492
Container-title:International Journal of Applied Mathematics and Computer Science
language:en
Short-container-title:

Author:

Amairi Messaoud¹

Affiliation:

1. Research Laboratory of Modeling, Analysis and Control of Systems, National Engineering School of Gabes (ENIG), University of Gabes, Omar Ibn el Khattab St., 6029 Gabes, Tunisia

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference18 articles.

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3. Amairi, M., Najar, S., Aoun, M. and Abdelkrim, M. (2010). Guaranteed output-error identification of fractional order model, 2nd IEEE International Conference on Advanced Computer Control (ICACC), Shenyang, China, pp. 246–250.

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