<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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 <italic>a priori</italic> 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.</p></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.

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

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,

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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...

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

Published Online: Sep 29, 2016

Page range: 543 - 553

Received: Jul 15, 2015

Accepted: Mar 07, 2016

DOI: https://doi.org/10.1515/amcs-2016-0038

Keywords
fractional calculus, set membership, estimation, unknown-but-bounded error

© 2016 Messaoud Amairi, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Sep 29, 2016

Page range: 543 - 553

Received: Jul 15, 2015

Accepted: Mar 07, 2016

DOI: https://doi.org/10.1515/amcs-2016-0038

Keywordsfractional calculus, set membership, estimation, unknown-but-bounded error

© 2016 Messaoud Amairi, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
fractional calculus, set membership, estimation, unknown-but-bounded error