Review of fractional PID controller

P Shah, S Agashe - Mechatronics, 2016 - Elsevier
Fractional calculus has been studied for over three centuries, and it has multifarious
applications in science and engineering. This review investigates its progress since the first …

[图书][B] Theory and applications of fractional differential equations

AA Kilbas, HM Srivastava, JJ Trujillo - 2006 - books.google.com
This monograph provides the most recent and up-to-date developments on fractional
differential and fractional integro-differential equations involving many different potentially …

[图书][B] Linear feedback control: analysis and design with MATLAB

D Xue, YQ Chen, DP Atherton - 2007 - SIAM
It is well known that the benefits from the wise use of control engineering are numerous and
include improved product/life quality, minimized waste materials, reduced pollution …

On the selection of tuning methodology of FOPID controllers for the control of higher order processes

S Das, S Saha, S Das, A Gupta - ISA transactions, 2011 - Elsevier
In this paper, a comparative study is done on the time and frequency domain tuning
strategies for fractional order (FO) PID controllers to handle higher order processes. A new …

The fractional-order controllers: Methods for their synthesis and application

I Petras - arXiv preprint math/0004064, 2000 - arxiv.org
This paper deals with fractional-order controllers. We outline mathematical description of
fractional controllers and methods of their synthesis and application. Synthesis method is a …

Analytical stability bound for a class of delayed fractional-order dynamic systems

YQ Chen, KL Moore - … of the 40th IEEE Conference on Decision …, 2001 - ieeexplore.ieee.org
Analytical stability bound for a class of delayed fractional-order dynamic systems Page 1 ofthe
40th IEEE Conlmce on Decision and Control Orlando, Florida USA, December 2001 WeA05-1 …

Design of fractional order controllers based on particle swarm optimization

JY Cao, BG Cao - 2006 1st IEEE conference on industrial …, 2006 - ieeexplore.ieee.org
An intelligent optimization method for designing fractional order PID (FOPID) controllers
based on particle swarm optimization (PSO) is presented in this paper. Fractional calculus …

Optimization of fractional order PID controllers based on genetic algorithms

JY Cao, J Liang, BG Cao - 2005 international conference on …, 2005 - ieeexplore.ieee.org
The intelligent optimization method for designing fractional order PI/sup/spl
lambda//D/sup/spl delta//controller (FOPID) based on genetic algorithms is presented in this …

[HTML][HTML] Fuzzy fractional-order PID control for heat exchanger

M Al-Dhaifallah - Alexandria Engineering Journal, 2023 - Elsevier
Fractions have recently become widespread in technology and science. The current
research looked at a fractional-order fuzzy PID controller. Furthermore, the tubular heat …

Optimal fractional order PID controller design for automatic voltage regulator system based on reference model using particle swarm optimization

X Li, Y Wang, N Li, M Han, Y Tang, F Liu - International Journal of Machine …, 2017 - Springer
Automatic voltage regulator (AVR) system is an important equipment in power system for
maintaining the terminal voltage of the generator at a specific level. Recently, fractional …