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Paper details
Number 3 - September 2016
Volume 26 - 2016
Recursive set membership estimation for output-error fractional models with unknown-but-bounded errors
Messaoud Amairi
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.
Keywords
fractional calculus, set membership, estimation, unknown-but-bounded error