Fractional order control-a tutorial

YQ Chen, I Petras, D Xue - 2009 American control conference, 2009 - ieeexplore.ieee.org
Many real dynamic systems are better characterized using a non-integer order dynamic
model based on fractional calculus or, differentiation or integration of non-integer order …

Linear fractional order controllers; A survey in the frequency domain

AA Dastjerdi, BM Vinagre, YQ Chen… - Annual Reviews in …, 2019 - Elsevier
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 …

[BOOK][B] Fractional order systems: modeling and control applications

R Caponetto, G Dongola, L Fortuna, I Petras - 2010 - books.google.com
This book aims to propose the implementation and application of Fractional Order Systems
(FOS). It is well known that FOS can be utilized in control applications and systems …

Tuning and auto-tuning of fractional order controllers for industry applications

CA Monje, BM Vinagre, V Feliu, YQ Chen - Control engineering practice, 2008 - Elsevier
This paper deals with the design of fractional order PIλDμ controllers, in which the orders of
the integral and derivative parts, λ and μ, respectively, are fractional. The purpose is to take …

Towards industrialization of FOPID controllers: A survey on milestones of fractional-order control and pathways for future developments

A Tepljakov, BB Alagoz, C Yeroglu, EA Gonzalez… - IEEE …, 2021 - ieeexplore.ieee.org
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 …

Design of a fractional order PID controller for an AVR using particle swarm optimization

M Zamani, M Karimi-Ghartemani, N Sadati… - Control Engineering …, 2009 - Elsevier
Application of fractional order PID (FOPID) controller to an automatic voltage regulator (AVR)
is presented and studied in this paper. An FOPID is a PID whose derivative and integral …

Studies on fractional order differentiators and integrators: A survey

BT Krishna - Signal processing, 2011 - Elsevier
Studies on analysis, design and applications of analog and digital differentiators and
integrators of fractional order is the main objective of this paper. Time and frequency domain …

Tuning of fractional PID controllers with Ziegler–Nichols-type rules

D Valério, JS Da Costa - Signal processing, 2006 - Elsevier
In this paper two sets of tuning rules for fractional PIDs are presented. These rules are
quadratic and require the same plant time–response data used by the first Ziegler–Nichols …

[PDF][PDF] Fractional Differentiation Inequalities

GA Anastassiou - 2009 - dspace.kottakkalfarookcollege.edu …
In 1991, although I had graduated in 1984, my great Ph. D. thesis advisor JHB Kemperman
recommended that I read the very interesting paper of J. Canavati [101], having to do with …

[BOOK][B] Discrete fractional calculus: applications in control and image processing

P Ostalczyk - 2015 - books.google.com
The main subject of the monograph is the fractional calculus in the discrete version. The
volume is divided into three main parts. Part one contains a theoretical introduction to the …