Modulating functions based model-free fractional order differentiators using a sliding integration window

DOI10.1016/j.automatica.2021.109679zbMath1478.93271OpenAlexW3160941045MaRDI QIDQ2665330

Da-Yan Liu, Ze-Hao Wu, Hao-Ran Liu, Yan-Qiao Wei, Driss Boutat

Publication date: 19 November 2021

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2021.109679

zbMATH Keywords

recursive numerical algorithmfractional integration by parts formulasmodel-free fractional order differentiatorssliding integration windowtime-delayed integer order differentiators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (5)

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 ⋮ Distributed solving linear algebraic equations with switched fractional order dynamics ⋮ Non-asymptotic estimation for fractional integrals of noisy accelerations for fractional order vibration systems ⋮ Global stabilization of uncertain nonlinear systems via fractional-order PID

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