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 …

A theoretical demonstration for reinforcement learning of PI control dynamics for optimal speed control of DC motors by using Twin Delay Deep Deterministic Policy …

S Tufenkci, BB Alagoz, G Kavuran, C Yeroglu… - Expert Systems with …, 2023 - Elsevier
To benefit from the advantages of Reinforcement Learning (RL) in industrial control
applications, RL methods can be used for optimal tuning of the classical controllers based …

Implementation of cable-driven waist rehabilitation robotic system using fractional-order controller

Y Li, B Zi, Z Sun, B Zhou, H Ding - Mechanism and Machine Theory, 2023 - Elsevier
This paper presents the design and implementation of a fractional-order controller for a
cable-driven waist rehabilitation robotic system (CDWRRS) based on an improved …

Spectrum-based stability analysis for fractional-order delayed resonator with order scheduling

J Cai, Y Liu, Q Gao, YQ Chen - Journal of Sound and Vibration, 2023 - Elsevier
We consider the stability analysis and controller design for a novel active vibration
suppression technique, what we call the fractional-order delayed resonator (FODR), to …

Control design, analysis, and optimization of fractional-order delayed resonator for complete vibration absorption

J Cai, Q Gao, Y Liu, N Olgac - Journal of Sound and Vibration, 2024 - Elsevier
The active vibration absorber can eliminate the vibration energy entirely from a primary
system through its anti-resonance effect, which is widely applied to vibration-sensitive …

[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 …

[HTML][HTML] Improving small-signal stability of inverter-based microgrids using fractional-order control

AM AbdelAty, A Al-Durra, H Zeineldin… - International Journal of …, 2024 - Elsevier
Augmenting the range of the active droop gain in inverter-based microgrids (IBMGs) is
required for faster power sharing and improved control at the secondary level. However …

Power mapping-based stability analysis and order adjustment control for fractional-order multiple delayed systems

Q Gao, J Cai, Y Liu, Y Chen, L Shi, W Xu - ISA transactions, 2023 - Elsevier
This article investigates the asymptotic stability of a general class of fractional-order multiple
delayed systems to evaluate the delay robustness. We establish a one-to-one spectral …

Approximating the Fractional-Order Element for the Robust Control Framework

V Mihaly, M Şuşcă, EH Dulf… - 2022 American Control …, 2022 - ieeexplore.ieee.org
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 …

A NARX model reference adaptive control scheme: improved disturbance rejection fractional-order PID control of an experimental magnetic levitation system

H Alimohammadi, BB Alagoz, A Tepljakov, K Vassiljeva… - Algorithms, 2020 - mdpi.com
Real control systems require robust control performance to deal with unpredictable and
altering operating conditions of real-world systems. Improvement of disturbance rejection …