FDA Express

The 3rd IFAC Conference on Advances in Proportional-IntegralDerivative Control (PID 2018) will be held Wednesday through Friday, May 9-11, at the Het Pand Convent and Meeting Centre in the heart of Ghent, Belgium – unanimously declared as the most pleasant city of Belgium. The conference venue is near cultural heritage places, historical monuments, restaurants, shopping, and entertainment, just a walk to all of Ghent's known sights.

Proportional-Integral-Derivative (PID) controllers are undoubtedly the most employed controllers in industry. The PID 2018 is the sequel of PID 2000 in Terassa, Spain and PID 2012 in Brescia, Italy. These last two meetings proved to be great successes and have given a significant impulse in research direction of PID controllers, as seen in the last decade in literature reports. The PID2018 conference is a timely and necessary event fueled by the challenges and perspectives of Industry 4.0 context and the renewed role of the PID controller in this new environment. In addition to provide the current state-of-art in the field, the meeting aims at providing a perspective of the future requirements for PID controllers within Industry 4.0.

The technical program will comprise several types of presentations in regular and invited sessions, tutorial sessions, and special sessions along with workshops and exhibits. This event will feature a parallel track on Internet Based control Education workshop (more details on conference website).

Topics: emphasis will be put on current challenges and new directions in PID control in the context of Industry 4.0. Below you can find a list of preferred topics, not limited to. Contributions with both theoretical and practical relevance are encouraged. Study cases from industry and challenges thereof are welcome.

PID tuning and automatic tuning methodologies

PID-based control structures

Applications of PID control

Industrial products for PID control design

Adaptive and robust

PID control Multivariable

PID control

Identification methods for PID control design

Stabilizing PID parameters

Event-based PID control

Fractional-order PID controllers

PID control performance assessment

Control education

CACSD tools for PID control design

Fault detection techniques for PID control

Nonlinear PID control

Simple alternatives to PID controllers

Important Dates:

Initial paper: 20 December 2017

Final Paper and Registration: 01 March 2018

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Books
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Stochastic Models for Fractional Calculus

Meerschaert, Mark M / Sikorskii, Alla

Book Description

The book is devoted to fractional diffusion models. Such diffusion model can appear, for example, as the limit of a random walk with infinite variance. In order to introduce fractional diffusion, mathematical techniques for dealing with fractional derivatives are presented, and time-fractional diffusion equations are introduced. To continue, stable distributions are considered as limits of random walks. Continuous time random walks (CTRW) are described. Regular variation is introduced as a technical tool to describe the full range of random walks attracted to a normal or stable limit. This shows that fractional diffusion is a robust model. The space-time fractional diffusion equations are developed to govern CTRW scaling limits. Vector fractional diffusion is studied as well as various applications and extensions of the principal models. The book is useful for graduate, postgraduate and PhD students as well as for teachers and those who wish to study modern diffusion models with long-range dependence.

More information on this book can be found by the following links:

http://www.degruyter.com/view/product/129781

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Universal formulas in integral and fractional differential calculus

Khavtgai Namsrai

Book Description

This reference book presents unique and traditional analytic calculations, and features more than a hundred universal formulas where one can calculate by hand enormous numbers of definite integrals, fractional derivatives and inverse operators. Despite the great success of numerical calculations due to computer technology, analytical calculations still play a vital role in the study of new, as yet unexplored, areas of mathematics, physics and other branches of sciences. Readers, including non-specialists, can obtain themselves universal formulas and define new special functions in integral and series representations by using the methods expounded in this book. This applies to anyone utilizing analytical calculations in their studies.

More information on this book can be found by the following links:

http://www.worldscientific.com/worldscibooks/10.1142/9585

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Journals
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Chaos, Solitons & Fractals

(Selected)

A fractional Gauss–Jacobi quadrature rule for approximating fractional integrals and derivatives

S. Jahanshahi, E. Babolian, D.F.M. Torres, A.R. Vahidi

Time fractional quantum mechanics

Nick Laskin

Restricted fractional differential transform for solving irrational order fractional differential equations

Ayad R. Khudair, S.A.M. Haddad, Sanaa L. khalaf

On disappearance of chaos in fractional systems

Amey S. Deshpande, Varsha Daftardar-Gejji

A search for a spectral technique to solve nonlinear fractional differential equations

Malgorzata Turalska, Bruce J. West

Conditions for continuity of fractional velocity and existence of fractional Taylor expansions

Dimiter Prodanov

Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system

Abdon Atangana

Time fractional equations and probabilistic representation

Zhen-Qing Chen

A review of applications of fractional calculus in Earth system dynamics

Yong Zhang, HongGuang Sun, Harold H. Stowell, Mohsen Zayernouri, Samantha E. Hansen

On generalized fractional vibration equation

Hongzhe Dai, Zhibao Zheng, Wei Wang

Chaos suppression in fractional systems using adaptive fractional state feedback control

Seyed Mehdi Abedi Pahnehkolaei, Alireza Alfi, J.A. Tenreiro Machado

Fractional derivatives on cosmic scales

V.V. Uchaikin, R.T. Sibatov

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Physica A: Statistical Mechanics and its Applications

(Selected)

A fractional model with parallel fractional Maxwell elements for amorphous thermoplastics

Dong Lei, Yingjie Liang, Rui Xiao

A fractional-order Maxwell model for non-Newtonian fluids

Y. Carrera, G. Avila-de la Rosa, E.J. Vernon-Carter, J. Alvarez-Ramirez

Group analysis of the time fractional generalized diffusion equation

Elham Lashkarian, S. Reza Hejazi

New approach for exact solutions of time fractional Cahn–Allen equation and time fractional Phi-4 equation

Hira Tariq, Ghazala Akram

Fractional derivative models for atmospheric dispersion of pollutants

A.G.O. Goulart, M.J. Lazo, J.M.S. Suarez, D.M. Moreira

Fractional randomness

Charles S. Tapiero, Pierre Vallois

Arbitrage with fractional Gaussian processes

Xili Zhang, Weilin Xiao

Synchronization-based parameter estimation of fractional-order neural networks

Yajuan Gu, Yongguang Yu, Hu Wang

Time fractional capital-induced labor migration model

Mehmet Ali Balcı

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Paper Highlight
FINITE DIFFERENCE SCHEMES FOR VARIABLE-ORDER TIME FRACTIONAL DIFFUSION EQUATION

Sun, Hongguang; Chen, Wen; Li, Changpin; et al.

Publication information: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS Volume: 22 Issue: 4 Article Number: 1250085 Published: APR 2012

http://www.worldscientific.com/doi/abs/10.1142/S021812741250085X

Abstract

Variable-order fractional diffusion equation model is a recently developed and promising approach to characterize time-dependent or concentration-dependent anomalous diffusion, or diffusion process in inhomogeneous porous media. To further study the properties of variable-order time fractional subdiffusion equation models, the efficient numerical schemes are urgently needed. This paper investigates numerical schemes for variable-order time fractional diffusion equations in a finite domain. Three finite difference schemes including the explicit scheme, the implicit scheme and the Cranku2013Nicholson scheme are studied. Stability conditions for these three schemes are provided and proved via the Fourier method, rigorous convergence analysis is also performed. Two numerical examples are offered to verify the theoretical analysis of the above three schemes and illustrate the effectiveness of suggested schemes. The numerical results illustrate that, the implicit scheme and the Cranku2013Nicholson scheme can achieve high accuracy compared with the explicit scheme, and the Cranku2013Nicholson scheme claims highest accuracy in most situations. Moreover, some properties of variable-order time fractional diffusion equation model are also shown by numerical simulations.

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A FOUNDATIONAL APPROACH TO THE LIE THEORY FOR FRACTIONAL ORDER PARTIAL DIFFERENTIAL EQUATIONS

Leo, Rosario Antonio; Sicuro, Gabriele; Tempesta, Piergiulio

Publication information: FRACTIONAL CALCULUS AND APPLIED ANALYSIS Volume: 20 Issue: 1 Pages: 212-231 Published: FEB 2017

http://www.degruyter.com/view/j/fca.2017.20.issue-1/fca-2017-0011/fca-2017-0011.xml

Abstract

We provide a general theoretical framework allowing us to extend the classical Lie theory for partial differential equations to the case of equations of fractional order. We propose a general prolongation formula for the study of Lie symmetries in the case of an arbitrary finite number of independent variables. We also prove the Lie theorem in the case of fractional differential equations, showing that the proper space for the analysis of these symmetries is the infinite dimensional jet space.

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