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An adaptive derivative estimator for fault-detection Using a dynamic system with a suboptimal parameter

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet

Authors

This paper deals with an approximation of a first derivative of a signal using a dynamic system of the first order. After formulating the problem, a proposition and a theorem are proven for a possible approximation structure, which consists of a dynamic system. In particular, a proposition based on a Lyapunov approach is proven to show the convergence of the approximation. The proven theorem is a constructive one and shows directly the suboptimality condition in the presence of noise. Based on these two results, an adaptive algorithm is conceived to calculate the derivative of a signal with convergence in infinite time. Results are compared with an approximation of the derivative using an adaptive Kalman filter (KF).

OriginalspracheEnglisch
Aufsatznummer101
ZeitschriftAlgorithms
Jahrgang12
Ausgabenummer5
Anzahl der Seiten17
DOIs
PublikationsstatusErschienen - 10.05.2019

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