Fractional Order System

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Fractional Order Systems—Control Theory and Applications

Omar Naifar,Abdellatif Ben Makhlouf
Fractional Order Systems Control Theory and Applications Book PDF

Author : Omar Naifar,Abdellatif Ben Makhlouf
Publisher : Springer Nature
Page : 224 pages
File Size : 55,8 Mb
Release : 2021-08-30
Category : Technology & Engineering
ISBN : 9783030714468

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Fractional Order Systems—Control Theory and Applications by Omar Naifar,Abdellatif Ben Makhlouf Pdf

This book aims to bring together the latest innovative knowledge, analysis, and synthesis of fractional control problems of nonlinear systems as well as some related applications. Fractional order systems (FOS) are dynamical systems that can be modelled by a fractional differential equation carried with a non-integer derivative. In the last few decades, the growth of science and engineering systems has considerably stimulated the employment of fractional calculus in many subjects of control theory, for example, in stability, stabilization, controllability, observability, observer design, and fault estimation. The application of control theory in FOS is an important issue in many engineering applications. So, to accurately describe these systems, the fractional order differential equations have been introduced.

Fractional Order Systems

Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said
Fractional Order Systems Book PDF

Author : Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said
Publisher : Academic Press
Page : 614 pages
File Size : 48,5 Mb
Release : 2021-10-13
Category : Technology & Engineering
ISBN : 9780128243343

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Fractional Order Systems by Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said Pdf

Fractional Order Systems: An Overview of Mathematics, Design, and Applications for Engineers introduces applications from a design perspective, helping readers plan and design their own applications. The book includes the different techniques employed to design fractional-order systems/devices comprehensively and straightforwardly. Furthermore, mathematics is available in the literature on how to solve fractional-order calculus for system applications. This book introduces the mathematics that has been employed explicitly for fractional-order systems. It will prove an excellent material for students and scholars who want to quickly understand the field of fractional-order systems and contribute to its different domains and applications. Fractional-order systems are believed to play an essential role in our day-to-day activities. Therefore, several researchers around the globe endeavor to work in the different domains of fractional-order systems. The efforts include developing the mathematics to solve fractional-order calculus/systems and to achieve the feasible designs for various applications of fractional-order systems. Presents a simple and comprehensive understanding of the field of fractional-order systems Offers practical knowledge on the design of fractional-order systems for different applications Exposes users to possible new applications for fractional-order systems

Intelligent Fractional Order Systems and Control

Indranil Pan,Saptarshi Das
Intelligent Fractional Order Systems and Control Book PDF

Author : Indranil Pan,Saptarshi Das
Publisher : Springer
Page : 305 pages
File Size : 49,7 Mb
Release : 2012-08-23
Category : Technology & Engineering
ISBN : 9783642315497

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Intelligent Fractional Order Systems and Control by Indranil Pan,Saptarshi Das Pdf

Fractional order calculus is finding increasing interest in the control system community. Hardware realizations of fractional order controllers have sparked off a renewed zeal into the investigations of control system design in the light of fractional calculus. As such many notions of integer order LTI systems are being modified and extended to incorporate these new concepts. Computational Intelligence (CI) techniques have been applied to engineering problems to find solutions to many hitherto intractable conundrums and is a useful tool for dealing with problems of higher computational complexity. This book borders on the interface between CI techniques and fractional calculus, and looks at ways in which fractional order control systems may be designed or enhanced using CI based paradigms. To the best of the author’s knowledge this is the first book of its kind exclusively dedicated to the application of computational intelligence techniques in fractional order systems and control. The book tries to assimilate various existing concepts in this nascent field of fractional order intelligent control and is aimed at researchers and post graduate students working in this field.

Fractional-Order Nonlinear Systems

Ivo Petráš
Fractional Order Nonlinear Systems Book PDF

Author : Ivo Petráš
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 40,5 Mb
Release : 2011-05-30
Category : Technology & Engineering
ISBN : 9783642181016

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Fractional-Order Nonlinear Systems by Ivo Petráš Pdf

"Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book. Description of the chaotic systems is clearly presented and their analysis and numerical solution are done in an easy-to-follow manner. Simulink models for the selected fractional-order systems are also presented. The readers will understand the fundamentals of the fractional calculus, how real dynamical systems can be described using fractional derivatives and fractional differential equations, how such equations can be solved, and how to simulate and explore chaotic systems of fractional order. The book addresses to mathematicians, physicists, engineers, and other scientists interested in chaos phenomena or in fractional-order systems. It can be used in courses on dynamical systems, control theory, and applied mathematics at graduate or postgraduate level. Ivo Petráš is an Associate Professor of automatic control and the Director of the Institute of Control and Informatization of Production Processes, Faculty of BERG, Technical University of Košice, Slovak Republic. His main research interests include control systems, industrial automation, and applied mathematics.

Fractional-order Systems and Controls

Concepción A. Monje,YangQuan Chen,Blas M. Vinagre,Dingyu Xue,Vicente Feliu-Batlle
Fractional order Systems and Controls Book PDF

Author : Concepción A. Monje,YangQuan Chen,Blas M. Vinagre,Dingyu Xue,Vicente Feliu-Batlle
Publisher : Springer
Page : 0 pages
File Size : 42,8 Mb
Release : 2014-11-29
Category : Technology & Engineering
ISBN : 144715715X

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Fractional-order Systems and Controls by Concepción A. Monje,YangQuan Chen,Blas M. Vinagre,Dingyu Xue,Vicente Feliu-Batlle Pdf

Fractional-order Systems and Controls details the use of fractional calculus in the description and modeling of systems, and in a range of control design and practical applications. It is largely self-contained, covering the fundamentals of fractional calculus together with some analytical and numerical techniques and providing MATLAB® codes for the simulation of fractional-order control (FOC) systems. Many different FOC schemes are presented for control and dynamic systems problems. Practical material relating to a wide variety of applications is also provided. All the control schemes and applications are presented in the monograph with either system simulation results or real experimental results, or both. Fractional-order Systems and Controls provides readers with a basic understanding of FOC concepts and methods, so they can extend their use of FOC in other industrial system applications, thereby expanding their range of disciplines by exploiting this versatile new set of control techniques.

Fractional-order Modeling and Control of Dynamic Systems

Aleksei Tepljakov
Fractional order Modeling and Control of Dynamic Systems Book PDF

Author : Aleksei Tepljakov
Publisher : Springer
Page : 184 pages
File Size : 49,9 Mb
Release : 2017-02-08
Category : Technology & Engineering
ISBN : 9783319529509

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Fractional-order Modeling and Control of Dynamic Systems by Aleksei Tepljakov Pdf

This book reports on an outstanding research devoted to modeling and control of dynamic systems using fractional-order calculus. It describes the development of model-based control design methods for systems described by fractional dynamic models. More than 300 years had passed since Newton and Leibniz developed a set of mathematical tools we now know as calculus. Ever since then the idea of non-integer derivatives and integrals, universally referred to as fractional calculus, has been of interest to many researchers. However, due to various issues, the usage of fractional-order models in real-life applications was limited. Advances in modern computer science made it possible to apply efficient numerical methods to the computation of fractional derivatives and integrals. This book describes novel methods developed by the author for fractional modeling and control, together with their successful application in real-world process control scenarios.

Fractional Order Systems

Riccardo Caponetto
Fractional Order Systems Book PDF

Author : Riccardo Caponetto
Publisher : World Scientific
Page : 201 pages
File Size : 42,9 Mb
Release : 2010
Category : Computers
ISBN : 9789814304207

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Fractional Order Systems by Riccardo Caponetto Pdf

This book aims to propose implementations and applications of Fractional Order Systems (FOS). It is well known that FOS can be applied in control applications and systems modeling, and their effectiveness has been proven in many theoretical works and simulation routines. A further and mandatory step for FOS real world utilization is their hardware implementation and applications on real systems modeling. With this viewpoint, introductive chapters on FOS are included, on the definition of stability region of Fractional Order PID Controller and Chaotic FOS, followed by the practical implementation based on Microcontroller, Field Programmable Gate Array, Field Programmable Analog Array and Switched Capacitor. Another section is dedicated to FO modeling of Ionic Polymeric Metal Composite (IPMC). This new material may have applications in robotics, aerospace and biomedicine.

Fractional-Order Control Systems

Dingyü Xue
Fractional Order Control Systems Book PDF

Author : Dingyü Xue
Publisher : Walter de Gruyter GmbH & Co KG
Page : 388 pages
File Size : 47,5 Mb
Release : 2017-07-10
Category : Mathematics
ISBN : 9783110497199

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Fractional-Order Control Systems by Dingyü Xue Pdf

This book explains the essentials of fractional calculus and demonstrates its application in control system modeling, analysis and design. It presents original research to find high-precision solutions to fractional-order differentiations and differential equations. Numerical algorithms and their implementations are proposed to analyze multivariable fractional-order control systems. Through high-quality MATLAB programs, it provides engineers and applied mathematicians with theoretical and numerical tools to design control systems. Contents Introduction to fractional calculus and fractional-order control Mathematical prerequisites Definitions and computation algorithms of fractional-order derivatives and Integrals Solutions of linear fractional-order differential equations Approximation of fractional-order operators Modelling and analysis of multivariable fractional-order transfer function Matrices State space modelling and analysis of linear fractional-order Systems Numerical solutions of nonlinear fractional-order differential Equations Design of fractional-order PID controllers Frequency domain controller design for multivariable fractional-order Systems Inverse Laplace transforms involving fractional and irrational Operations FOTF Toolbox functions and models Benchmark problems for the assessment of fractional-order differential equation algorithms

Fractional-order Systems and PID Controllers

Kishore Bingi,Rosdiazli Ibrahim,Mohd Noh Karsiti,Sabo Miya Hassan,Vivekananda Rajah Harindran
Fractional order Systems and PID Controllers Book PDF

Author : Kishore Bingi,Rosdiazli Ibrahim,Mohd Noh Karsiti,Sabo Miya Hassan,Vivekananda Rajah Harindran
Publisher : Springer Nature
Page : 256 pages
File Size : 50,7 Mb
Release : 2019-10-31
Category : Technology & Engineering
ISBN : 9783030339340

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Fractional-order Systems and PID Controllers by Kishore Bingi,Rosdiazli Ibrahim,Mohd Noh Karsiti,Sabo Miya Hassan,Vivekananda Rajah Harindran Pdf

This book presents a detailed study on fractional-order, set-point, weighted PID control strategies and the development of curve-fitting-based approximation techniques for fractional-order parameters. Furthermore, in all the cases, it includes the Scilab-based commands and functions for easy implementation and better understanding, and to appeal to a wide range of readers working with the software. The presented Scilab-based toolbox is the first toolbox for fractional-order systems developed in open-source software. The toolboxes allow time and frequency domains as well as stability analysis of the fractional-order systems and controllers. The book also provides real-time examples of the control of process plants using the developed fractional-order based PID control strategies and the approximation techniques. The book is of interest to readers in the areas of fractional-order controllers, approximation techniques, process modeling, control, and optimization, both in industry and academia. In industry, the book is particularly valuable in the areas of research and development (R&D) as well as areas where PID controllers suffice – and it should be noted that around 80% of low-level controllers in industry are PID based. The book is also useful where conventional PIDs are constrained, such as in industries where long-term delay and non-linearity are present. Here it can be used for the design of controllers for real-time processes. The book is also a valuable teaching and learning resource for undergraduate and postgraduate students.

Fractional Order Systems

Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan
Fractional Order Systems Book PDF

Author : Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan
Publisher : Academic Press
Page : 741 pages
File Size : 44,9 Mb
Release : 2018-08-16
Category : Technology & Engineering
ISBN : 9780128163085

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Fractional Order Systems by Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan Pdf

Fractional Order Systems: Optimization, Control, Circuit Realizations and Applications consists of 21 contributed chapters by subject experts. Chapters offer practical solutions and novel methods for recent research problems in the multidisciplinary applications of fractional order systems, such as FPGA, circuits, memristors, control algorithms, photovoltaic systems, robot manipulators, oscillators, etc. This book is ideal for researchers working in the modeling and applications of both continuous-time and discrete-time dynamics and chaotic systems. Researchers from academia and industry who are working in research areas such as control engineering, electrical engineering, mechanical engineering, computer science, and information technology will find the book most informative. Discusses multi-disciplinary applications with new fundamentals, modeling, analysis, design, realization and experimental results Includes new circuits and systems based on the new nonlinear elements Covers most of the linear and nonlinear fractional-order theorems that will solve many scientific issues for researchers Closes the gap between theoretical approaches and real-world applications Provides MATLAB® and Simulink code for many of the applications in the book

Fractional-Order Design

Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said
Fractional Order Design Book PDF

Author : Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said
Publisher : Academic Press
Page : 550 pages
File Size : 55,8 Mb
Release : 2021-10-22
Category : Technology & Engineering
ISBN : 9780323902045

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Fractional-Order Design by Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said Pdf

Fractional-Order Design: Devices, Circuits, and Systems introduces applications from the design perspective so that the reader can learn about, and get ready to, design these applications. The book also includes the different techniques employed to comprehensively and straightforwardly design fractional-order systems/devices. Furthermore, a lot of mathematics is available in the literature for solving the fractional-order calculus for system application. However, a small portion is employed in the design of fractional-order systems. This book introduces the mathematics that has been employed explicitly for fractional-order systems. Students and scholars who wants to quickly understand the field of fractional-order systems and contribute to its different domains and applications will find this book a welcomed resource. Presents a simple and comprehensive understanding of the field of fractional-order systems Offers practical knowledge on the design of fractional-order systems for different applications Exposes users to the possible new areas of applications of fractional-order systems

Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach

Bijnan Bandyopadhyay,Shyam Kamal
Stabilization and Control of Fractional Order Systems A Sliding Mode Approach Book PDF

Author : Bijnan Bandyopadhyay,Shyam Kamal
Publisher : Springer
Page : 226 pages
File Size : 50,9 Mb
Release : 2014-07-22
Category : Technology & Engineering
ISBN : 9783319086217

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Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach by Bijnan Bandyopadhyay,Shyam Kamal Pdf

In the last two decades fractional differential equations have been used more frequently in physics, signal processing, fluid mechanics, viscoelasticity, mathematical biology, electro chemistry and many others. It opens a new and more realistic way to capture memory dependent phenomena and irregularities inside the systems by using more sophisticated mathematical analysis. This monograph is based on the authors’ work on stabilization and control design for continuous and discrete fractional order systems. The initial two chapters and some parts of the third chapter are written in tutorial fashion, presenting all the basic concepts of fractional order system and a brief overview of sliding mode control of fractional order systems. The other parts contain deal with robust finite time stability of fractional order systems, integral sliding mode control of fractional order systems, co-operative control of multi-agent systems modeled as fractional differential equation, robust stabilization of discrete fractional order systems, high performance control using soft variable structure control and contraction analysis by integer and fractional order infinitesimal variations.

Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing, and Control

Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said
Fractional Order Modeling of Dynamic Systems with Applications in Optimization Signal Processing and Control Book PDF

Author : Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said
Publisher : Academic Press
Page : 530 pages
File Size : 53,6 Mb
Release : 2021-10-22
Category : Technology & Engineering
ISBN : 9780323902038

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Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing, and Control by Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said Pdf

Fractional-order Modelling of Dynamic Systems with Applications in Optimization, Signal Processing and Control introduces applications from a design perspective, helping readers plan and design their own applications. The book includes the different techniques employed to design fractional-order systems/devices comprehensively and straightforwardly. Furthermore, mathematics is available in the literature on how to solve fractional-order calculus for system applications. This book introduces the mathematics that has been employed explicitly for fractional-order systems. It will prove an excellent material for students and scholars who want to quickly understand the field of fractional-order systems and contribute to its different domains and applications. Fractional-order systems are believed to play an essential role in our day-to-day activities. Therefore, several researchers around the globe endeavor to work in the different domains of fractional-order systems. The efforts include developing the mathematics to solve fractional-order calculus/systems and to achieve the feasible designs for various applications of fractional-order systems. Presents a simple and comprehensive understanding of the field of fractional-order systems Offers practical knowledge on the design of fractional-order systems for different applications Exposes users to possible new applications for fractional-order systems

Fractional Dynamical Systems: Methods, Algorithms and Applications

Piotr Kulczycki,Józef Korbicz,Janusz Kacprzyk
Fractional Dynamical Systems Methods Algorithms and Applications Book PDF

Author : Piotr Kulczycki,Józef Korbicz,Janusz Kacprzyk
Publisher : Springer Nature
Page : 398 pages
File Size : 54,6 Mb
Release : 2022-01-04
Category : Technology & Engineering
ISBN : 9783030899721

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Fractional Dynamical Systems: Methods, Algorithms and Applications by Piotr Kulczycki,Józef Korbicz,Janusz Kacprzyk Pdf

This book presents a wide and comprehensive spectrum of issues and problems related to fractional-order dynamical systems. It is meant to be a full-fledge, comprehensive presentation of many aspects related to the broadly perceived fractional-order dynamical systems which constitute an extension of the traditional integer-order-type descriptions. This implies far-reaching consequences, both analytic and algorithmic, because—in general—properties of the traditional integer-order systems cannot be directly extended by a straightforward generalization to fractional-order systems, modeled by fractional-order differential equations involving derivatives of an non-integer order. This can be useful for describing and analyzing, for instance, anomalies in the behavior of various systems, chaotic behavior, etc. The book contains both analytic contributions with state-of-the-art and theoretical foundations, algorithmic implementation of tools and techniques, and—finally—some examples of relevant and successful practical applications.

Fractional Order Signal Processing

Saptarshi Das,Indranil Pan
Fractional Order Signal Processing Book PDF

Author : Saptarshi Das,Indranil Pan
Publisher : Springer Science & Business Media
Page : 110 pages
File Size : 48,9 Mb
Release : 2011-09-15
Category : Technology & Engineering
ISBN : 9783642231179

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Fractional Order Signal Processing by Saptarshi Das,Indranil Pan Pdf

The book tries to briefly introduce the diverse literatures in the field of fractional order signal processing which is becoming an emerging topic among an interdisciplinary community of researchers. This book is aimed at postgraduate and beginning level research scholars who would like to work in the field of Fractional Order Signal processing (FOSP). The readers should have preliminary knowledge about basic signal processing techniques. Prerequisite knowledge of fractional calculus is not essential and is exposited at relevant places in connection to the appropriate signal processing topics. Basic signal processing techniques like filtering, estimation, system identification, etc. in the light of fractional order calculus are presented along with relevant application areas. The readers can easily extend these concepts to varied disciplines like image or speech processing, pattern recognition, time series forecasting, financial data analysis and modeling, traffic modeling in communication channels, optics, biomedical signal processing, electrochemical applications and many more. Adequate references are provided in each category so that the researchers can delve deeper into each area and broaden their horizon of understanding. Available MATLAB tools to simulate FOSP theories are also introduced so that the readers can apply the theoretical concepts right-away and gain practical insight in the specific domain.