Variable Order Fractional Controllers

DOI10.1002/asjc.639zbMath1327.93224OpenAlexW1583500145MaRDI QIDQ3454323

Duarte Valério, J. M. G. Sá da Costa

Publication date: 24 November 2015

Published in: Asian Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/asjc.639

zbMATH Keywords

fractional derivativesadaptive controlfractional controlcomplex derivativesCrone controlfirst generation Crone controllogarithmic phase Crone controlsecond generation Crone controlvariable order fractional control

Mathematics Subject Classification ID

Adaptive control/observation systems (93C40) Control/observation systems governed by ordinary differential equations (93C15) Fractional ordinary differential equations (34A08)

Related Items (11)

Adaptive gain-order fractional control for network-based applications ⋮ On solution of a class of nonlinear variable order fractional reaction–diffusion equation with Mittag–Leffler kernel ⋮ Caputo derivatives of fractional variable order: numerical approximations ⋮ Applications of variable-order fractional operators: a review ⋮ Variable order fractional systems ⋮ Study on the nonsingular problem of fractional-order terminal sliding mode control ⋮ The \(\psi\)-Hilfer fractional calculus of variable order and its applications ⋮ A Computing Approach for Delay Margin of Linear Fractional‐Order Retarded Systems with Commensurate Time Delays ⋮ Complex Lie algebroids and Finsler manifold in time-dependent fractal dimension and their associated decomplexifications ⋮ Gegenbauer wavelet operational matrix method for solving variable-order non-linear reaction-diffusion and Galilei invariant advection-diffusion equations ⋮ An efficient computational approach for nonlinear variable order fuzzy fractional partial differential equations

Uses Software

• CRONE

Cites Work

• Variable-order fractional derivatives and their numerical approximations
• Design of variable and adaptive fractional order FIR differentiators
• Variable order differential equations with piecewise constant order-function and diffusion with changing modes
• Variable order and distributed order fractional operators
• Statistical physics of dynamical systems with variable memory
• Fractional integration and differentiation of variable order
• Series expansion design of variable fractional order integrator and differentiator using logarithm
• An iterative method for the design of variable fractional-order FIR differintegrators
• Fractional-order iterative learning control for fractional-order linear systems
• Robust Fractional Adaptive Control Based on the Strictly Positive Realness Condition
• Mechanics with variable-order differential operators
• An Introduction to Fractional Control

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