Detail publikace

Analog Implementation of Fractional-Order Elements and Their Applications

KARTCI, A.

Originální název

Analog Implementation of Fractional-Order Elements and Their Applications

Typ

teze Ph.D. práce

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

Analog integrated circuit, circuit connections, fabrication, fractional calculus, fractional-order capacitor, fractional-order derivative, fractional-order device, fractional-order element, fractionalorder inductor, fractional-order integrator, fractional-order system, fractional-order oscillator, solid-state fractional-order capacitor.

Autoři

KARTCI, A.

Vydáno

24. 6. 2019

Strany od

1

Strany do

32

Strany počet

32

URL

https://www.vutbr.cz/www_base/zav_prace_soubor_verejne.php?file_id=194284

Plný text v Digitální knihovně

http://hdl.handle.net/11012/181088

BibTex

@misc{BUT159511,
  author="Aslihan {Kartci}",
  title="Analog Implementation of Fractional-Order Elements and Their Applications",
  year="2019",
  pages="1--32",
  url="https://www.vutbr.cz/www_base/zav_prace_soubor_verejne.php?file_id=194284",
  note="Ph.D. thesis principal points"
}