Applied Fractional
Calculus (AFC)
FOC: Fractional Order Control, or Fractional Order Calculus
Last updated by Dr YangQuan Chen on 10/4/2010; Created
1/1/2003. Back to Dr. Chen's
homepage (YangQuan Chen’s web at
googlepages)
Please register IEEE CDC2010
Tutorial Workshop on AFC. It’s officially in. Check 2010 CDC Workshop on AFC web
(link to 2002 CDC
Tutorial Workshop)
– you can see we are very dedicated to this event.
NEWS:
·
2012
o
IFAC FDA 2012, Nanjing, China.
·
2011 updates/highlights
o
5th Symposium on
FDTA (Fractional Derivative and Their Applications) as part of the 7th
MESA 2011 under ASME
IDETC/CIE 2011 (Washington DC,
8/29-31, 2011)
Ø Links
to FDTA03,
FDA04,
FDTA05, FDA06, FDTA07, FDA08 (J), FDTA09, FDA10, FDTA11,
FDA12, CSOIS AFC (CFOSE)
Ø Tutorial
workshops: CDC02 TW,
CDC10 TW, WCICA10 TW
o
FOC Day @ USU
2011 (previously 2009,
2007, 2005)!
o
2011 IFAC World
Congress under TC2.2 (Invited
sessions with 12 papers)
o
Monograph related
to fractional order signal processing …
·
2010 updates/highlights.
o
2010 CDC Workshop on AFC web
o
FDA2010 (~160 papers) Book of Abstract (PDF)
o
ACC2010
ever first regular session on FC (6 papers, one session)
o
FOC new book
Springer (AIC series, with free chapters) - Service web
o
IEEE/ASME
MESA2010 FODSC Symposium (http://www.asmemesa.org/)
o
WCICA2010
Pre-conference Tutorial Workshop (free admission) (http://wcica.info a special Invited Session on
FODSC too)
o
“The Recent
History of FC” published! 
doi:10.1016/j.cnsns.2010.05.027
o
Mini-Symposium in
Hangzhou ICDVC (May 2010) (program, proceedings contents, abstract CD)
o
Academic Day on FDC (May 2010,
Shanghai University, picture, program)
o
Talk at ISRCS 2010 on FC+DD+NCS
(slides)
·
2009
o
ASME/IEEE
DETC 2009, MESA09, San Diego 2009.
o
AACC American Control Conference (ACC) 2009
o
Bruce J. West’s paper
collection (215 pdf so far)
o
FSS09 in Portugal
·
2008
o
8/23/2008. Dr.
YangQuan Chen’s publication
list related to AFC (Applied Fractional
Calculus)
o
8/23/2008. Some
new AFC links (FractionalCalculus.googlepages.com,
Yan Li’s web,
AFC Reading Group
Meetings; CSOIS
AFC papers at IFAC FDA08)
·
2007
o
Igor Podlubny’s official
lecture at Utah State university
·
… time flies,
fraction by fraction … (memories CDC02-tutorial,
Kosice05, IEEE ICMA06 tutorial, http://mechatronics.ece.usu.edu/foc/event/FOC_Day@USU/)
·
10/02/2005.
Slides are available for talks
on FOC at San Diego IEEE CSS Section.
o
Prof. YangQuan Chen 's introduction
slides. Title "Fractional
Order Calculus and Fractional Order Dynamics Systems and Controls - a.k.a. - Non-integer Order Calculus and Non-integer Order Dynamic Systems and Controls"
(
PDF , ~1Mb. PPT ~24Mb available upon request)
o
Prof. Igor Podlubny 's slides on "Fractional Derivatives: History,
Theory, Applications " (PDF
, 9.4Mb)
o
Ms Concha Monje's
slides on "AUTO-TUNING OF FRACTIONAL
PI^\lambda D^\mu CONTROLLERS" (
PDF , 652 Kb)
·
09/21/2005.
(new link) CRONE team's
Working group " Fractional
systems and their applications "
·
09/20/2005. Igor
Podlubny's ECE6800 Lecture slides ( PDF )
·
09/13/2005. Igor
Podlubny's ECE6800
Lecture at Utah State University (
announcement.html )
·
09/13/2005. Upcoming talk on FOC at San
Diego IEEE CSS Section.
·
09/13/2005. ASME
DETC Symposium on FDTA 2005, Long Beach. Check 5th International Conference on
Multibody Systems, Nonlinear Dynamics, and Control (MSNDC). Program
(Check MSNDC12)
·
05/06/2005. Prof.
J. A. Tenreiro
Machado's FOC website
(List of Researchers on Fractional
Order Systems.(
pdf ))
·
04/20/2005. Slides of FOC
Day @ USU, April 19, 2005.
·
04/15/2005. Fractional Order Calculus Day at Utah State University (FOC Day @ USU,
April 19, 2005 ) (
HTML version )
·
04/15/2005. The 2nd IFAC FDA06: Workshop on Fractional Differentiation & its
Applications (Chair: Stefan Samko and co-Chair: Blas M. Vinagre)
·
04/15/2005. – ASME 2nd
Symposium on Fractional
Derivatives & Their Applications (ASME DETC FDTA05, organizers:
Profs. Om Prakash Agrawal, Jocelyn Sabatier and J. A. Tenreiro Machado);
·
04/15/2005. links
to
o
NSF International
Partnership in Research and Education
o
National
Research Coucil Twinning Program
·
11/9/2004. http://encyclopedia.thefreedictionary.com/fractional%20calculus
·
10/23/2003. CRONE Working group
"Fractional systems and
their applications" : 5th meeting ( Final Program )
·
10/18/2003.
"Fractional Dynamics"
- An ASME subcommittee, officially formed.
·
10/17/2003.
Mirror site. http://mas-net.ece.usu.edu/foc
·
10/01/2003.
Journal: Signal Processing ISSN : 0165-1684 Volume : 83 Issue : 11 [SPECIAL
ISSUE] Date : Nov-2003 Fractional Signal Processing and
Applications Edited by: Manuel Duarte Ortigueira, J.A. Tenreiro Machado
·
09/27/2003. Some pictures
from ASME DETC2003 The First ASME Symposium on Fractional Derivatives and Their Applications (FDTA03).
·
09/11/2003. 29
papers in ASME DETC2003 VIB FDTA (Click here for all
the PDF's)
·
09/11/2003.
Shunji Manabe's early FOC papers ( 1961 paper
, 1963
paper )
·
08/26/2003.
Publication list of Professor Vsevolod Vasylyev
's group (DOC
) at the Department of Hybrid Modeling & Control Systems
in Power Engineering of National Academy of Sciences of Ukraine,
·
08/25/2003. Link
to Dr Ming Li (some recent contributions
in long range dependent processes) of National
University of Singapore .
·
07/06/2003. Some
FOC related PhD thesis.
o
Effect
of fractional-based damping on dynamic system response by Dr C. D. Morgan.
(1998)
·
07/06/2003. ASME
DETC2003. VIB
FDTA : Session Details (
doc , html
)
·
05/24/2003. IEEE
CDC2002 FOC Tutorial Workshop. Follow-up story. Check this article (PDF) by
IEEE CSS President.
·
05/23/2003. List of
accepted papers in the Special Issue on Fractional Signal Processing and
Applications of Signal
Processing .
·
05/23/2003. Online presentation slides at Action thématique " Les systèmes à dérivées
non entières" organized by the CRONE team .
·
05/23/2003. List of the
accepted FOC papers for the ASME
First Symposium on Fractional Derivatives and Their Applications
, International Design Engineering Technical Conferences, Chicago,
Illinois September 2-6, 2003.
·
03/25/2003. USU ECE6800 Seminar by Dr YangQuan Chen on FOC.
Check here
for PDF slides.
·
03/24/2003. IEEE ICAR03 . List of accepted
papers (PDFs
) of "Fractional derivatives in Mechatronics and Robotics"
invited sessions organized: by Pierre Melchior, Patrick Lanusse and
Jocelyn Sabatier.
·
03/12/2003. CRONE team's Action thématique "Les systèmes à
dérivées non entières", LAP/ENSEIRB - Bordeaux - 27 et 28 Mars 2003 .
·
03/11/2003. Blas
Vinagre video taped for IEEE Center for Education and Training ( ICET )
The recorded overview lecture ( zip
file )
o
To play, please
do the following
1.
Download shockwave player
(version 8.0 and up) and shockmachine (
Free Trial v2.2 )
2.
Install the
above. Unzip the recorded overview lecture ( zip
file ) into your directory
"c:\Program_Files\shockwave.com\shockmachine\content\personal\ "
3.
Run Shockmachine
and enjoy the overview lecture. You can also try the IEEE CDC2002 Bode Lecture here
.
·
03/07/2003. FOC Collaboration
in Basic Science and Engineering (COBASE) . 2003-2004 by Igor Poblubny , YangQuan Chen
and Kevin L.
Moore on "Mathematics:
Fractional calculus and its applications in engineering and control"
·
02/12/2003. Signal Processing . Special
Issue on Fractional Signal Processing and Applications. J. Tenreiro Machado and Manuel Duarte Ortigueira Guest Editors. (review
process starts)
·
02/04/2003. Dr
Wen Chen's web page: Fractional
calculus modeling of acoustic lossy media exhibiting arbitrary freqeuncy
dependency and applications to medical ultrasonics.
- 01/10/03: Analog device for true fractional order
operation, by Dr Gary W. Bohannan
, WavelenghtElectronics-dot-com
, (white
paper )
- Tutorial
Workshop on FOC at IEEE CDC'2002, Las Vegas . (Workshop M-2 Schedule )
·
Lecture Notes
edited by Blas Vinagre
and YangQuan Chen (PDF 16.2Mb ) (PDF.zip 8.6Mb )
·
A collection of
the lecture slides can be downloaded here .
·
FOC BiBTeX
library files (11/15/2002)
o
part-1,
fractional order calculus ( foc1.bib )
o
part-2,
fractional order control (foc2.bib
)
·
A companion CD
with more information on FOC (click here for all the CD
files)
·
Some pictures at CDC02
FOC TW.
o
Patrick
Lanusse, Pierre Melchior, YangQuan Chen, Tenreiro Machado and Blas Vinagre
after lunch.
o
Prof.
Machado standing in front of the artificial
sky .
o
Blas
Vinagre video taping for IEEE Center for Education and Training ( ICET )
- Basics:
o
What is fractional order calculus
? (see also here
)
o
http://mathworld.wolfram.com/FractionalCalculus.html
- Publications:
o
Special Issue on
FOC and Its Applications, Nonlinear Dynamics. Guest Edited by J. Tenreiro Machado .
o
Proceedings of
the colloquium FDS'98:Fractional Differential Systems: Models, Methods and Applications
ESAIM: Proceedings, Vol. 5, 1998, 1-204
/proc/
Vol.5/
- Softwares:
o
Link to here or here . See also my DD (digital
differentiator) webpage .
- Events:
o
ASME First Symposium on Fractional
Derivatives and Their Applications , International Design
Engineering Technical Conferences, Chicago, Illinois September 2-6, 2003
o
Invited special
session on "Fractional derivatives
in Mechatronics and Robotics", for the 11th IEEE-ICAR'03 , June 30-July 3, 2003,
University of Coimbra, Portugal.Organizers: Pierre Melchior, Patrick Lanusse
and Jocelyn Sabatier. List of accepted
papers
o
Fractional Differentiation and its Applications
20 04 Bordeaux, France, July
19-20, 2004 (
FDA04 )
- Researchers and Other
Relevant Links:
o
Om Prakash Agrawal (e-mail)
o
http://www.fracalmo.org/Fractional Calculus Modelling
WEB project managed by Prof. Gorenflo and Prof. Mainardi
o
Hari M. Srivastava's home page
o
Francesco Mainardi's
home page
Created on 01/01/2003. Last updated on 09/19/2010. by Dr YangQuan Chen
visits since 2/24/2007. View
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