Fractional order control of power electronic converters in industrial drives and renewable energy systems: a review

P Warrier, P Shah - IEEE Access, 2021 - ieeexplore.ieee.org
The power electronics industry is undergoing a revolution driven by an industry 4.0
perspective, with smart and green/hybrid energy management systems being the …

[HTML][HTML] FPAA-based implementation of fractional-order chaotic oscillators using first-order active filter blocks

A Silva-Juárez, E Tlelo-Cuautle… - Journal of advanced …, 2020 - Elsevier
Fractional-order chaotic oscillators (FOCOs) have been widely studied during the last
decade, and some of them have been implemented on embedded hardware like field …

Towards industrialization of FOPID controllers: A survey on milestones of fractional-order control and pathways for future developments

A Tepljakov, BB Alagoz, C Yeroglu, EA Gonzalez… - IEEE …, 2021 - ieeexplore.ieee.org
The interest in fractional-order (FO) control can be traced back to the late nineteenth century.
The growing tendency towards using fractional-order proportional-integral-derivative …

Tracking error prediction informed motion control of a parallel machine tool for high-performance machining

Z Xie, F Xie, XJ Liu, J Wang, B Mei - International Journal of Machine Tools …, 2021 - Elsevier
Parallel machine tools (PMTs) are suitable for machining parts with complex surface
features, owing to their advantages in providing flexible attitude adjustments and quick …

Rational approximations of arbitrary order: A survey

JD Colín-Cervantes, C Sánchez-López… - Fractal and …, 2021 - mdpi.com
This paper deals with the study and analysis of several rational approximations to approach
the behavior of arbitrary-order differentiators and integrators in the frequency domain. From …

Synthesis and optimization of fractional-order elements using a genetic algorithm

A Kartci, A Agambayev, M Farhat, N Herencsar… - IEEE …, 2019 - ieeexplore.ieee.org
This study proposes a new approach for the optimization of phase and magnitude
responses of fractional-order capacitive and inductive elements based on the mixed integer …

Fractional-order inductor: Design, simulation, and implementation

L Zhang, A Kartci, A Elwakil, H Bagci… - IEEE Access, 2021 - ieeexplore.ieee.org
Fractional calculus has tremendous potential in modeling the evolution of complex systems
including those with memory. Indeed, fractional-order models are more accurate in …

On the design flow of the fractional-order analog filters between FPAA implementation and circuit realization

AM Hassanein, AH Madian, AGG Radwan… - IEEE Access, 2023 - ieeexplore.ieee.org
This work explicitly states the design flows of the fractional-order analog filters used by
researchers throughout the literature. Two main flows are studied: the FPAA implementation …

[HTML][HTML] An effective analog circuit design of approximate fractional-order derivative models of M-SBL fitting method

M Koseoglu, FN Deniz, BB Alagoz, H Alisoy - Engineering Science and …, 2022 - Elsevier
There is a growing interest in fractional calculus and Fractional Order (FO) system modeling
in many fields of science and engineering. Utilization of FO models in real-world …

[图书][B] Applications in control

I Petráš - 2019 - books.google.com
This multi-volume handbook is the most up-to-date and comprehensive reference work in
the field of fractional calculus and its numerous applications. This sixth volume collects …