Non-asymptotic estimation for fractional integrals of noisy accelerations for fractional order vibration systems

DOI10.1016/j.automatica.2021.109996zbMath1480.93419OpenAlexW3212918152WikidataQ114204868 ScholiaQ114204868MaRDI QIDQ2059381

Zhibo Wang, Da-Yan Liu, Hao-Ran Liu, Yang Tian, Driss Boutat

Publication date: 14 December 2021

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2021.109996

zbMATH Keywords

fast and robust estimationfractional integral and derivative estimationfractional order vibration systemsgeneralized modulating functions methodinitial values estimationnoisy accelerations

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Estimation and detection in stochastic control theory (93E10) Random vibrations in mechanics of particles and systems (70L05) Fractional derivatives and integrals (26A33)

Related Items (3)

Algebraic estimation for fractional integrals of noisy acceleration based on the behaviour of fractional derivatives at zero ⋮ Non-asymptotic and robust estimation for a class of nonlinear fractional-order systems ⋮ Variational fractional-order modeling of viscoelastic axially moving plates and vibration simulation

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