Algebraic estimation for fractional integrals of noisy acceleration based on the behaviour of fractional derivatives at zero
DOI10.1016/j.amc.2022.127254OpenAlexW4281612719WikidataQ114210851 ScholiaQ114210851MaRDI QIDQ2148025
Zhibo Wang, Da-Yan Liu, Driss Boutat
Publication date: 21 June 2022
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2022.127254
modulating functions methodfractional integral and derivative estimationfractional derivative at zeronoisy accelerationnon-asymptotic and robust estimation
General theory for ordinary differential equations (34Axx) Model systems in control theory (93Cxx) Controllability, observability, and system structure (93Bxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Controllability of fractional damped dynamical systems
- Non-asymptotic fractional order differentiator for a class of fractional order linear systems
- Fractional-order systems and controls. Fundamentals and applications
- Reconstructeurs d'état. (State reconstructors).
- Innovative fractional derivative estimation of the pseudo-state for a class of fractional order linear systems
- Fractional calculus via functional calculus: Theory and applications
- Non-asymptotic estimation for fractional integrals of noisy accelerations for fractional order vibration systems
- Modulating functions based differentiator of the pseudo-state for a class of fractional order linear systems
- Robust deadbeat continuous-time observer design based on modulation integrals
- Noise: a nonstandard analysis.
- Modulating functions based model-free fractional order differentiators using a sliding integration window
- Finite-time position and velocity estimation adapted to noisy biased acceleration measurements from periodic motion
- Non-Asymptotic Kernel-Based Parametric Estimation of Continuous-time
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- An algebraic framework for linear identification
- Higher-order sliding modes, differentiation and output-feedback control
- Nonasymptotic Pseudo-State Estimation for a Class of Fractional Order Linear Systems
This page was built for publication: Algebraic estimation for fractional integrals of noisy acceleration based on the behaviour of fractional derivatives at zero