A review and evaluation of numerical tools for fractional calculus and fractional order controls

Z Li, L Liu, S Dehghan, YQ Chen… - International journal of …, 2017 - Taylor & Francis
In recent years, as fractional calculus becomes more and more broadly used in research
across different academic disciplines, there are increasing demands for the numerical tools …

FOMCON: fractional-order modeling and control toolbox

A Tepljakov, A Tepljakov - Fractional-order modeling and control of …, 2017 - Springer
In the following chapter, FOMCON toolbox for MATLAB/Simulink is described. The chapter
has the following structure. First, an overview of the toolbox is provided in Sect. 6.1. Next, the …

[PDF][PDF] A comparative study of 2DOF PID and 2DOF fractional order PID controllers on a class of unstable systems

K Bingi, R Ibrahim, MN Karsiti, SM Hassan… - Archives of Control …, 2018 - journals.pan.pl
The proportional-integral-derivative (PID) controllers have experienced series of structural
modifications and improvements. Example of such modifications are set-point weighting and …

[HTML][HTML] Applying fractional order PID to design TCSC-based damping controller in coordination with automatic generation control of interconnected multi-source …

J Morsali, K Zare, MT Hagh - Engineering Science and Technology, an …, 2017 - Elsevier
In this paper, fractional order proportional-integral-differential (FOPID) controller is employed
in the design of thyristor controlled series capacitor (TCSC)-based damping controller in …

Sensorless fractional order control of PMSM based on synergetic and sliding mode controllers

M Nicola, CI Nicola - Electronics, 2020 - mdpi.com
The field oriented control (FOC) strategy of the permanent magnet synchronous motor
(PMSM) includes all the advantages deriving from the simplicity of using PI-type controllers …

Optimal tuning of fractional order PID controller for AVR system using simulated annealing optimization algorithm

R Lahcene, S Abdeldjalil, K Aissa - 2017 5th international …, 2017 - ieeexplore.ieee.org
Designing of an effective and an efficient Fractional Order Proportional-Integral-Derivative
(FOPID) controller, as a generalization of a conventional PID controller based on fractional …

Fractional order weighted mixed sensitivity-based robust controller design and application for a nonlinear system

E Ilten - Fractal and Fractional, 2023 - mdpi.com
This paper focuses on fractional-order modeling and the design of a robust speed controller
for a nonlinear system. An induction motor (IM), widely used in Electrical Vehicles (EVs), is …

Fractional synergetic tracking control for robot manipulator

A Saif, R Fareh, S Sinan, M Bettayeb - Journal of Control and …, 2024 - Taylor & Francis
This work takes advantage of synergetic control theory and fractional calculus to develop
and propose fractional synergetic control (FSC) strategy for Four Degrees of Freedom (4 …

Improved performance in the control of DC-DC three-phase power electronic converter using fractional-order SMC and synergetic controllers and RL-TD3 agent

M Nicola, CI Nicola - Fractal and Fractional, 2022 - mdpi.com
In this article, starting from a benchmark represented by a Direct Current-to-Direct Current
(DC-DC) three-phase power electronic converter used as an interface and interconnection …

Design and simulation of self-tuning fractional order fuzzy PID controller for robotic manipulator

RR Ardeshiri, HN Kashani… - International Journal of …, 2019 - inderscienceonline.com
Two-link robotic manipulator system is completely nonlinear and time-varying multi-input-
multiple output. In this research, the fractional order fuzzy PID (FOFPID) controller is …