Fractional-order system modeling and its applications

K Kothari, UV Mehta, R Prasad - Journal of Engineering …, 2019 - repository.usp.ac.fj
In order to control or operate any system in a closed-loop, it is important to know its behavior
in the form of mathematical models. In the last two decades, a fractional-order model has …

[HTML][HTML] Fractional-order model identification based on the process reaction curve: A unified framework for chemical processes

JJ Gude, PG Bringas, M Herrera, L Rincón… - Results in …, 2024 - Elsevier
This study introduces a novel method for identifying dynamic systems aimed at deriving
reduced-fractional-order models. Applicable to processes exhibiting an S-shaped step …

Fractional IMC-PID-filter controllers design for non integer order systems

M Bettayeb, R Mansouri - Journal of Process Control, 2014 - Elsevier
Fractional order controller design with a small number of tuning parameters is very attractive.
Few attempts have been done recently for some limited cases of models. In this paper, a …

Time response analysis of fractional-order control systems: A survey on recent results

MS Tavazoei - Fractional Calculus and Applied Analysis, 2014 - Springer
The aim of this paper is to provide a survey on the recently obtained results which are useful
in time response analysis of fractional-order control systems. In this survey, at first some …

Maximum sensitivity based fractional IMC–PID controller design for non-integer order system with time delay

D Li, L Liu, Q **, K Hirasawa - Journal of Process Control, 2015 - Elsevier
A simple approach with a small number of tuning parameters is a key goal in fractional order
controller design. Recently there have been a number of limited attempts to bring about …

Fractional-order identification system based on Sundaresan's technique

MWS Campos, FAC Ayres Jr, IV de Bessa… - Chaos, Solitons & …, 2024 - Elsevier
This paper investigates the Sundaresan technique for modeling fractional order systems.
Sundaresan, Prasad, and Krishnaswamy published this method in 1978 for modeling …

A new fractional reduced-order model-inspired system identification method for dynamical systems

JJ Gude, A Di Teodoro, O Camacho, PG Bringas - IEEE Access, 2023 - ieeexplore.ieee.org
This paper presents a new method for identifying dynamical systems to get fractional-
reduced-order models based on the process reaction curve. This proposal uses information …

Bifurcations, stability analysis and complex dynamics of Caputo fractal-fractional cancer model

L Xuan, S Ahmad, A Ullah, S Saifullah, A Akgül… - Chaos, Solitons & …, 2022 - Elsevier
The association of cancer and immune cells has complex nature and produces chaotic
behavior when it is simulated. The newly introduced operators which combine the fractal …

Compensation by fractional‐order phase‐lead/lag compensators

MS Tavazoei, M Tavakoli‐Kakhki - IET Control Theory & …, 2014 - Wiley Online Library
This study deals with a generalised version of lead/lag compensators known as fractional‐
order lead/lag compensators. Exact and simple formulas are found for designing this …

[HTML][HTML] Proposal of a general identification method for fractional-order processes based on the process reaction curve

JJ Gude, P García Bringas - Fractal and Fractional, 2022 - mdpi.com
This paper aims to present a general identification procedure for fractional first-order plus
dead-time (FFOPDT) models. This identification method is general for processes having S …