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Sistemas de control
Bioingeniería
Fractional Calculus
Control Systems
[ES] Se propone analizar las herramientas sofware existentes para identificar funciones de transferencia fraccionales a partir de datos experimentales y su uso en el contexto de la ingenieria de sistemas y control. El objetivo principal es compararlas con funciones de transferencia ordinarias, para las que hay herramientas con muchos años de experiencia en su uso y desarrollo, para determinar si las nuevas herramientas ofrecen alguna ventaja práctica al menos para determinado tipo de sistemas como puedan ser aquellos que presentan fenómenos de difusión, retardos y otras características dificiles de capturar
[EN] We analyze some of the existent software tools to identify fractional-order transfer functions from experimental data, and, more broadly, their use in the context of Systems and Control Engineering. The main goal of this Master Thesis is to compare fractional-order transfer functions to ordinary ones, the latter being supported by many years of experience in their use and development, in order to determine whether the former could provide practical advantages, at least for certain kinds of systems, like those which present diffusion phenomena, delays, and other characteristics hard to capture.
Reserva de todos los derechos
Abierto
José Alberto Conejero Casares
Enric Picó i Marco
http://hdl.handle.net/10251/124554
Inglés
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(Introduction)
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(Feedback and Control)
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(Control)
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(Motivation)
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(Fundamentals of Fractional Calculus)
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(Brief Historical Overview)
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(The Foundations)
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(Riemann-Liouville Integrals)
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(Grnwald-Letnikov Operators)
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(Caputo's Approach)
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(Laplace and Fourier Transforms)
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(An Example Application of Fractional Calculus)
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(System Identification: Ordinary vs Fractional)
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(Introduction)
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(Dynamical Systems and Models)
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(Transfer Functions)
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(Identifying Transfer Functions)
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(The ODE model)
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(Residual Analysis)
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(Fractional-Order Modeling and Control Toolboxes)
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(Structure of the Toolbox)
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(Dependencies)
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(Example)
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(Numerical Results)
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