Linear fractional order controllers; A survey in the frequency domain
Today, there is a great tendency toward using fractional calculus to solve engineering
problems. The control is one of the fields in which fractional calculus has attracted a lot of …
problems. The control is one of the fields in which fractional calculus has attracted a lot of …
A review of the digital implementation of continuous-time fractional-order chaotic systems using FPGAs and embedded hardware
D Clemente-López, JM Munoz-Pacheco… - … Methods in Engineering, 2023 - Springer
The hallmark of fractional-order derivatives is a memory kernel to describe real-world
phenomena with a better approximation than classical calculus. In fractional-order chaotic …
phenomena with a better approximation than classical calculus. In fractional-order chaotic …
Towards industrialization of FOPID controllers: A survey on milestones of fractional-order control and pathways for future developments
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 …
The growing tendency towards using fractional-order proportional-integral-derivative …
Revisiting four approximation methods for fractional order transfer function implementations: Stability preservation, time and frequency response matching analyses
Due to high computational load of ideal realization of fractional order elements, fractional
order transfer functions are commonly implemented via integer-order, limited-band …
order transfer functions are commonly implemented via integer-order, limited-band …
[PDF][PDF] Frequency response based curve fitting approximation of fractional-order PID controllers
Fractional-order PID (FOPID) controllers have been used extensively in many control
applications to achieve robust control performance. To implement these controllers, curve …
applications to achieve robust control performance. To implement these controllers, curve …
Approximating the Fractional-Order Element for the Robust Control Framework
Fractional order calculus in modelling and control applications has been increasingly
popular in every scientific field due to its versatility and superiority in various instances …
popular in every scientific field due to its versatility and superiority in various instances …
Electronic realisation technique for fractional order integrators
In this study, a new method is presented for the realisation of the fractional order integrator.
First, integer order approximate methods are analysed, then based on this analysis and …
First, integer order approximate methods are analysed, then based on this analysis and …
On the approximate inverse Laplace transform of the transfer function with a single fractional order
The history of fractional calculus dates back to 1600s and it is almost as old as classical
mathematics. Although many studies have been published on fractional-order control …
mathematics. Although many studies have been published on fractional-order control …
[HTML][HTML] System Identification Based on Experimental Technique Using Stability Boundary Locus Method for Linear Fractional Order Systems
A Yüce - Arabian Journal for Science and Engineering, 2024 - Springer
Fractional calculus is an important mathematical tool that is widely used in control systems. It
is established in the literature that fractional order models are more accurate and more …
is established in the literature that fractional order models are more accurate and more …
[HTML][HTML] Time response optimal rational approximation: Improvement of time responses of MSBL based approximate fractional order derivative operators by using …
M Koseoglu - Engineering Science and Technology, an International …, 2022 - Elsevier
Fractional calculus has become a popular topic in recent years. Its applications have been
seen frequently in the analysis and solution of many engineering problems. Since, the exact …
seen frequently in the analysis and solution of many engineering problems. Since, the exact …