Extended fractional singular kalman filter

نویسندگان

چکیده

Effective and accurate state estimation is a staple of modern modeling. On the other hand, nonlinear fractional-order singular (FOS) systems are an attractive modeling tool as well since they can provide descriptions with complex dynamics. Consequently, developing methods for such highly relevant it provides vital information about system including related memory effects long interconnection properties constraint elements. However, missing features in transforming structures violation constraints non-singular versions may affect performance result. This paper proposes algorithm design original non-transformed stochastic FOS system. We introduce deterministic data-fitting based framework which helps us to take steps directly towards Kalman filter (KF) derivation, called extended fractional KF (EFSKF). Using reasoning, we demonstrate how construct recursive form filter. Analysis shows proposed reduces nominal filters when its usual state-space making said flexible. Finally, simulation results verify that states be accomplished EFSKF reasonable performance.

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ژورنال

عنوان ژورنال: Applied Mathematics and Computation

سال: 2023

ISSN: ['1873-5649', '0096-3003']

DOI: https://doi.org/10.1016/j.amc.2023.127950