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KARTCI, A.
Original Title
Analog Implementation of Fractional-Order Elements and Their Applications
Type
dissertation
Language
English
Original Abstract
With advancements in the theory of fractional calculus and also with widespread engineering application of fractional-order systems, analog implementation of fractional-order integrators and differentiators have received considerable attention. This is due to the fact that this powerful mathematical tool allows us to describe and model a real-world phenomenon more accurately than via classical “integer” methods. Moreover, their additional degree of freedom allows researchers to design accurate and more robust systems that would be impractical or impossible to implement with conventional capacitors. Throughout this thesis, a wide range of problems associated with analog circuit design of fractional-order systems are covered: passive component optimization of resistive-capacitive and resistive-inductive type fractional-order elements, realization of active fractional-order capacitors (FOCs), analog implementation of fractional-order integrators, robust fractional-order proportional-integral control design, investigation of different materials for FOC fabrication having ultra-wide frequency band, low phase error, possible low- and high-frequency realization of fractional-order oscillators in analog domain, mathematical and experimental study of solid-state FOCs in series-, parallel- and interconnected circuit networks. Consequently, the proposed approaches in this thesis are important considerations in beyond the future studies of fractional dynamic systems.
Keywords
Analog integrated circuit, circuit connections, fabrication, fractional calculus, fractional-order capacitor, fractional-order derivative, fractional-order device, fractional-order element, fractional-order inductor, fractional-order integrator, fractional-order system, fractional-order oscillator, solid-state fractional-order capacitor.
Authors
Released
24. 6. 2019
Pages from
1
Pages to
143
Pages count
URL
https://www.vutbr.cz/www_base/zav_prace_soubor_verejne.php?file_id=194093
Full text in the Digital Library
http://hdl.handle.net/11012/181087
BibTex
@phdthesis{BUT159510, author="Aslihan {Kartci}", title="Analog Implementation of Fractional-Order Elements and Their Applications", pages="1--143", year="2019", url="https://www.vutbr.cz/www_base/zav_prace_soubor_verejne.php?file_id=194093" }