Applied
Fractional Calculus
(AFC)
literature reading group meeting on Fractional Order Calculus (FOC)
(AFC Reading@ USU)
Convener and Organizer: Yan Li
Center for Self-Organizing and
Intelligent Systems (CSOIS),
Department
of Electrical and Computer Engineering, Utah
State University
Group
members as of Fall 2009: (CSOIS
AFC related papers .pdf)
Group
photo (stitched by Cal Coopmans from fractionals, from left to right:
Previous
conveners: Yan Li (Oct. 07 to Aug. 08) and Shayok Mukhopadhyay (Aug.08 to Aug. 09)
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Date |
Presenter |
Paper Presented |
Addition information/remarks |
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Fractional Gaussian noise, functional MRI and
Alzheimer’s disease. NeuroImage 25 (2005) 141– 158
(PDF) |
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Completely monotonic functions by Kenneth S. MILLER1
and Stefan G. SAMKO. Integr. Transf. and Spec. Funct. 2001, Vol. 12, No 4, 389-402 (PDF) |
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Frequency power law of material damping by T. Pritz. Applied acoustics 65(2004) 1027-1036 (PDF) |
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Fractional robust control of main irrigation
canals with variable dynamic parameters by V. Feliu-Batllea,
R. Rivas Pérezb and L. Sánchez
Rodríguez. Control Engineering Practice, Volume 15, Issue 6,
June 2007, Pages 673-686(PDF) |
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Self-Similarity: Part I—Splines
and Operators(PDF) by M.
Unser, T. Blu. IEEE Transactions on Signal
Processing, vol. 55, no. 4, pp. 1352-1363, April 2007; Part II—Optimal Estimation of Fractal Processes(PDF) by T. Blu, M. Unser. IEEE Transactions on Signal Processing,
vol. 55, no. 4, pp. 1364-1378, April 2007. |
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FRACTIONAL REGULATORS FOR SPACECRAFT ATTITUDE
STABILIZATION by A. Kailil1, S. Choukri, M. Mliha
Touati1, N. Elalami. 22nd AIAA
International Communications Satellite Systems Conference & Exhibit 2004.
(PDF) |
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Tuning and auto-tuning of fractional order
controllers for industry applications, by Concepcio´
n A. Monje, Blas M. Vinagre,
Vicente Feliu, |
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APPLICATION OF FRACTIONAL DERIVATIVE
OPERATORS TO ANOMALOUS DIFFUSION and PROPAGATION PROBLEMS, by Andrzej J. Turski, Barbara Atamaniuk and Ewa Turska . math-ph/0701068 .(PDF) |
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A note on the use of Lambert W function in the
stability analysis of time-delay systems, by Chyi
Hwang and Yi-Cheng Cheng. 2005 American Control Conference. (PDF)
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Fractional order PID control of a DC-motor with
elastic shaft: a case study, Dingyu Xue, Chunna Zhao and |
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Time:11-12AM |
Probability Distributions Generated By Fractional
Diffusion Equations , by F. Mainardi, P. PARADISI,
R. GORENFLO . Condensed Matter - Statistical Mechanics, April 2007 (PDF) Fractional Calculus and Stable Probability
Distributions , by Rudolf Gorenflo, Francesco
MAINARDI . Arch Mech 50(3),377-388,1998.(PDF) |
Date/time change due to Thanksgiving holiday
season |
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How to solve fractional order equations in
control systems (PPT) |
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Time:11-12AM |
APPLICATION OF FRACTIONAL DERIVATIVES TO
MODELING THE QUASI-STATIC RESPONSE OF POLYURETHANE FOAM, by Rong Deng, Patricia Davies and Anil K. Bajaj .
DETC2003/VIB-48397 (PDF) |
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Tutorial Workshop on Fractional Calculus
Applications in Automatic Control and Robotics, by Dr. PatrickLanusse,
Dr. JocelynSabatier, Dr. X.Moreauand
Pr. AlainOustaloup (PPT) |
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Diffusion-induced instability in two
coupled reactors: Chaos (PPT) |
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Some Stochastic Systems with a Fractional
Brownian Motion and Applications to Control by T. E. Duncan. Proceedings of the
2007 American Control Conference (PPT)(PDF) |
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The fractional integrator as a control
design element by Mir Shahrouz Takyar
and Tryphon T. Georgiou. 46th IEEE Conference on
Decision and Control, |
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Numerical comparison of methods for solving
linear differential equations of fractional order, by Shaher
Momania and Zaid Odibat. Chaos, Solitons &
Fractals, Volume 31, Issue 5, March 2007, Pages 1248-1255 (PDF) |
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FRACTIONAL CONTROLLER FOR GUIDANCE OF
AUTONOMOUS GROUND VEHICLES, by A. Rodríguez-Castaño,
A. Ollero, B.M. Vinagre,
Y.Q. Chen. SICICA2003. (PDF) |
Merry Christmas! and Happy new year! |
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The Application of Fractional-Order PI Control
Algorithm to the PMSM Speed-Adjusting System, by Kai Zong,
Shihua Li and Xiangze
Lin. Advanced Intelligent Computing Theories and Applications. With Aspects
of Contemporary Intelligent Computing Techniques(Book),2007 (PDF) |
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2008 AFC Reading Group
Presentations: |
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3PM-4PM |
Vibration Suppression Using Single
Neuron-Based PI Fuzzy Controller and Fractional-Order Disturbance Observer,
by Wen Li and Yoichi Hori . IEEE TRANSACTIONS
ON INDUSTRIAL ELECTRONICS, VOL. 54, NO. 1, FEBRUARY 2007 . (PDF) |
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Space- and time-fractional diffusion and wave
equations, fractional Fokker–Planck equations, and physical motivation, by Ralf
Metzler, Theo F. Nonnenmacher (PDF)
and Hybrid integral transforms (PPT) |
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Fractional order conditional integrator |
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4-5PM |
Realization of a Constant Phase Element and
Its Performance Study in a Differentiator Circuit by Karabi
Biswas, Siddhartha Sen,
and Pranab Kumar Dutta.(PDF) |
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Abdollah Shafieezadeh |
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4-5PM |
Fractional Order Controllers in Attitude
Control Applications (PPT) |
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4-5PM |
Modeling of a rat muscle using fractional multimodels (PDF) |
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Computer simulation of the electronic noise
of solid state detectors (PDF) |
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4-5PM |
FOANN: Fractional Order Artificial Neural
Networks (PPT)(PDF1) (PDF2)
(PDF3) |
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Fractional PI controller in liquid level
& flow control (PPT) |
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4-5PM |
UAS Lambda Tracking (PPT) |
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Fractional Order-Universal Adaptive
Stabilization (PPT) |
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4-5PM |
Research Report (Progress in FOCI –
fractional order conditional integrator) (PPT) |
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Research Report (General purpose Matlab toolbox for solving fractional order optimal
control problems) – Part-I: Review of existing results. (PDF, PPT) |
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4-5PM |
Fractional Power Spectrum (PDF) |
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4-5PM |
Tuning of Fractionl
PID Controllers by Using QFT (PDF) |
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Modelling of lossy coils using fractional derivatives (PDF) |
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4-5PM |
Simple PID Tuning Rules for Varying
Time-Delay Systems (PPT) (PDF) |
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A Fractional Order Proportional and
Derivative (FOPD) Controller Tuning Algorithm Simulation and Experiment
(PPT) |
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12:00-13:00 |
HRV,
LRD, FOSP, Fractal Physiology and Feedback Control of Emotion (PPT)(PDF)(SITE) |
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Fractal Phenomena and Fractional Calculus (PPT) |
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4-5PM |
Fractional PID Controller (PPT) |
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Solving Fractional Optimal Control
Problems using RIOTS (PPT) |
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4-5PM |
Probability distributions generated by fractional diffusion equations (PPT)(PDF) |
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Fractional Order Control of an Unmanned Aerial Vehicle (UAV) (PPT)(PDF) |
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4-5PM |
Fractional Toolbox Experiments (PPT) |
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4-5PM |
Compensation of Dynamic Friction by a
Fractional Order Robust Controller (PPT)(PDF) |
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On the Stability of Fractional Nonautonomous Systems (PPT)(PDF)( Contraction
Mapping Principle) |
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4-5PM |
Delay Dynamics, Fractional Calculus and
Fractional Order Control (PPT1)(PPT2)(PDF1)
(PDF2)
(PDF3)
(PDF4) |
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Perturbed Fractional-Order Non-Linear Systems
(PPT) |
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4-5PM |
Optimal Fractional Order Proportional
& Integral Controller for Processes with Random Time Delays (PPT) |
Varsha’s thesis defense slides |
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Fractional Time-Optimal Control (PPT) |
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4-5PM |
Stability Analysis of Fractional Adaptive High-Gain Controllers for a Class
of Linear Systems General case (PDF) |
I rearranged the
turns, because Varsha cannot be here for the
following months. |
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4-5PM |
Fractional Order UAS-Theory & Experimental Validation (PPT) |
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4-5PM |
Fractional-order anisotropic diffusion for image denoising
(PDF) |
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American
Control Conference 2008, in |
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4-5PM |
Robust
Control of Cart-Pendulum Dynamics against Uncertain Multiple Time Delays (PPT) |
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Fractional Calculus and Its Applications-A
report from ACC08 (PPT) |
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4-5PM |
Application
of fractional order calculus in control of civil structures (PDF)
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MS thesis defense |
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4-5PM |
Two
dimensional LRD processes and chemotaxis behavior
quantification (PPT)(PDF) |
Sponsored by an NIH R15 grant, PI: Dr. |
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4-5PM |
Purely
analog fractional order control of a coupled tank system (PPT) |
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4-5PM |
Fractional
Order Linear Quadratic Regulator---Part I: Problem Statement (PPT)(PDF) |
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4-5PM |
Complex
Wavelet Domain Image Fusion: Based on Fractional Lower Order Moment (PPT)(PDF) |
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4-5PM |
When
Mittag-Leffler Function is Nussbaum Function (PPT) |
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4-5PM |
A
Fractional Order PD (FOPD) Motion Controller for A Class of Fractional Order
Systems (PPT) |
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08/20/2008 4-5PM |
Filling
Pond Control Minimizing Water loss on Scipio River Water loss on Scipio River
(PPT) |
Yan Li’s last AFC group meeting. Signing good-bye
card. |
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08/28/2008 4-5PM |
Delay
dynamics and FOC experiments on the Smartwheel (PPT) |
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09/04/2008 4-5PM |
Linear
approximation of fractional transfer functions and application to fractional
optimal control problem (PPT) |
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09/11/2008 4-5PM |
Fractional
order low pass filter (FO-LPF) : Why, What and How (PPT) |
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09/18/2008 4-5PM |
FO[PD]
controller: tuning procedure and experimental validation (PPT) (IEEE
Trans. Automatic Control, under review) |
Welcoming new CSOIS and AFC member: Mr. Hu Sheng |
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09/25/2008 4-5PM |
Complexity,
Scale-free
networks and Fractional Order Dynamic
Agreement Over Scale-Free Networks. (PPT) |
Welcoming new CSOIS and AFC member: Prof. ChunYang Wang |
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10/2/2008 4-5PM |
A
link between generalized hyper-geometric function and generalized Mittag-Leffler function and its application in
impulse-invariant discretization of fractional
order low-pass filters. Codes genHyper.m and GGML_fun.m |
Haiyang Chao
leaves for |
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10/9/2008 4-5PM |
Tokomak
plasma centering problem: Modeling and purely analog fractional order control
(PPT) |
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10/16/2008 4-5PM |
and Ying
Luo |
FOPI
and FO[PI] for robust velocity servo, (code for FO[PI]) (PPT) |
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10/23/2008 |
Fractional
order Friedland-Park’s friction compensation method
and experiments |
Haiyang Chao
returns from |
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AFC Reading Group Anniversary Celebration! (group picture) |
Dr. Chen leaves for NASA panel review |
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10/31/2008 |
How
to simulate 2D LRD (long range dependent) processes? (PPT) |
Dr. Chen leaves for IFAC FDA08 (3-9/11/2008) |
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11/9/2008 |
HIL
(hardware-in-the-loop) simulation platform for Fractional Order Network
Control Systems (FONCS) (PPT) |
Mr. Wei Sun arrives (11/3/2008). |
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11/23/2008 |
IFAC
FDA08 trip report and ASME FDTA009/IEEE ICMA09/ ASME MESA09 plans / ASME
FDTA09 |
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12/03/2008 |
Fractional
order power spectrum and fractional order FFT. (PPT) |
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12/04/2008 |
General
CSOIS meeting concluded with Sun Wei’s talk on multi agent task
allocation. (PDF) |
CSOIS Group Picture |
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12/6-11.
Dr. Chen attended IEEE CDC2008. Dec. 8, attended Workshop on Modeling,
Estimation and Control in Neuroscience DBS
(Deep Brain Stimulation) (slides) (Photo with Dr. Mathukumalli
Vidyasagar ) and met many others.
Presented 7 papers. (3 for Dr. Guanghong Yang and
one for Dr. Chan-Hee Won) |
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12/16/2008 |
Nigmatullin’s New Methods (PPT)
(GSL
data analysis) |
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12/18/2008 |
Fractional
Order Finite Horizon Control (FOFHC) (using MPC Toolbox) (PDF) |
CSOIS AFC Group Picture |
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2009 AFC Reading Group Presentations: |
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1/8/2009 |
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CSOIS
General Meeting and Dr. Chen’s Talk on Memristor and
Fractional Calculus. |
CSOIS Welcomes new member: Hongguang
Sun arrived (1/2/2009) |
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01/15/2009 |
Hongguang Sun |
Research
on FC applications in soft matter |
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01/22/2009 |
Progress
of fractional order flight control of fixed-wing UAVs,
simulation results and flight test results. (PPT) |
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02/04/2009 |
“Purely”
analog “truly” fractional control of the coupled tank system (PPT) |
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02/11/2009 |
Fractional
Order Conditional Integrator (PPT) |
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02/18/2009 |
FO-AFC
(fractional order adaptive feedforward concelation) (PPT) FOPD
ultra low velocity servo - describing function analysis and experimental
validation. (PPT) |
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03/03/2009 |
Prof. Wang |
Professor
Wang’s last research seminar (Tuning and auto-tuning of FO-PI controllers) |
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03/06/2009 |
Prof. Yingtao Zhang |
A
Subpixel Noise Removal Method Based on
Fractional-Order Anisotropic Diffusion |
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03/20/2009 |
Prof. Changpin Li |
Fractional
Derivatives and Their Properties (PPT) |
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03/27/2009 |
Fractional Calculus and Its Applications to Viscoelastic Material and Control Theory (PPT) |
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04/02/2009 |
Xiaona Song |
Stabilization of Singular Fractional-Order
Systems: A Linear Matrix Inequality Approach (PPT) |
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04/10/2009 |
Honguang Sun |
Variable
Time Order Fractional Diffusion |
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04/17/2009 |
Prof. Changpin Li |
An
Approach to Fractional Differential Equations - Adomian
Method (PDF) |
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04/24/2009 |
Dr. Bruce West’s visit |
FOC DAY - 2009 |
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05/01/2009 |
Generalized Fractional Calculus (PPT) |
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05/08/2009 |
Honguang Sun |
Trip report about the workshop on 'Flows and Networks in Complex Media'
at the IPAM, UCLA |
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05/15/2009 |
Fractional Order Random Delay Dynamics &
FO-PI Control of the SmartWheel (PPT) |
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05/21/2009 |
Solution of Fractional Order Optimal Control
Problems Using SVD-based Rational Approximations (PPT) |
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05/29/2009 |
Fractional Order Iterative Learning Control
(PPT) |
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06/12/2009 |
Xiaona Song |
Remote Stabilization for Fractional-Order
Systems via Communication Networks with a Distributed Control Law |
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06/19/2009 |
Time domain analysis of fractional order
transfer functions (PPT) |
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06/26/2009 |
Fractional Order Modeling & Control:
Development of Analog Strategies for Plasma Position Control of the STOR-1M Tokamak (PPT) |
MS Thesis Defense |
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07/03/2009 |
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Fractional Order Calculus Class – Summer
2009 |
EL-109 |
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07/10/2009 |
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Fractional Order Calculus Class – Summer
2009 |
EL-109 |
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07/15/2009 |
Networked Control of Autonomous Vehicles (PDF) |
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Summer Semester 2009 (ECE
6930: Applied Fractional
Calculus in Science and Engineering & Solving Applied Mathematical
Problems with MATLAB. Syllabus 1 & Syllabus 2) |
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09/10/2009 |
CSOIS General Meeting |
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09/17/2009 |
Fractional Order Universal Adaptive
Stabilization of a MIMO System (PDF) |
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09/24/2009 |
Fractional dynamic system in |
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09/25/2009 |
A fractional order [proportional derivative]
controller tuning method insensitive to time constant variations (PDF) |
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09/30/2009 |
Some contributions in Networked Control
Systems (NCS) based on Fractional Calculus |
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10/08/2009 |
Controversy around the CRONE suspension (PPT) |
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10/15/2009 |
The meeting is postponed to the next week
due to flues. |
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10/22/2009 |
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10/29/2009 |
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Notes:
- Half year memory (PIC)
- November 5-7, 2008. IFAC FDA 2008 (note: all IFAC
conference papers are free online here); IFAC FDA 2006 papers are all free
online now.
- CSOIS
group photo (5 not in the photo:
- Parts of our documents are
password protected. Please contact Dr. YangQuan Chen for more details.
Return to YangQuan
Chen’s homepage /Dr. Chen’s IFAC FDA06 plenary talk slides “Ubiquitous
Fractional Order Control” (PPT)
/ Dr. Chen’s 2006 Seagate Talk “All Smart Ideas Tried?!” (PPT) /
Dr. Chen’s 2007 ECE6800 seminar “An Overview of Fractional Order Signal Processing
Techniques” (Slides)
Return to FOC webpage / FOC Day @
USU slides
Links to CSOIS FOC theses:
Jinsong Liang; Rongtao Sun and Tripti and Varsha’s
Links to CSOIS C-FOSE
(Center for Fractional Order Systems and Engineering, pending) Industrial Demo
Corner.