Fractional Order Systems Control Theory And Applications

Author : Omar Naifar,Abdellatif Ben Makhlouf
Publisher : Springer Nature
Page : 224 pages
File Size : 53,7 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.

Author : Omar Naifar,Abdellatif Ben Makhlouf
Publisher : Unknown
Page : 0 pages
File Size : 42,5 Mb
Release : 2022
Category : Electronic
ISBN : 3030714470

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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.

Author : Thach Ngoc Dinh,Shyam Kamal,Rajesh Kumar Pandey
Publisher : Mdpi AG
Page : 0 pages
File Size : 42,9 Mb
Release : 2023-03-03
Category : Technology & Engineering
ISBN : 3036564225

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Fractional-Order System by Thach Ngoc Dinh,Shyam Kamal,Rajesh Kumar Pandey Pdf

International experts contribute to Fractional- and Integer-Order System: Control Theory and Applications, providing an authoritative overview of the most recent developments in control theory as well as practical examples of fractional- and integer-order systems. Generously referenced and illustrated, the reprint highlights the growing interest in control science and is an invaluable resource for applied and industrial mathematicians, biological, control, electrical and electronics engineers and scientists.

Author : Concepción A. Monje,YangQuan Chen,Blas M. Vinagre,Dingyu Xue,Vicente Feliu-Batlle
Publisher : Springer Science & Business Media
Page : 430 pages
File Size : 44,5 Mb
Release : 2010-09-28
Category : Technology & Engineering
ISBN : 9781849963350

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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.

Author : Indranil Pan,Saptarshi Das
Publisher : Springer
Page : 305 pages
File Size : 40,8 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.

Author : Riccardo Caponetto
Publisher : World Scientific
Page : 201 pages
File Size : 47,6 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.

Author : Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said
Publisher : Academic Press
Page : 614 pages
File Size : 49,8 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

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 48,6 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9789814465151

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Fractional Order Systems by Anonim Pdf

Author : Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said
Publisher : Academic Press
Page : 530 pages
File Size : 40,5 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

Author : Aleksei Tepljakov
Publisher : Springer
Page : 184 pages
File Size : 44,5 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.

Author : Ivo Petráš
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 45,7 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.

Author : Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan
Publisher : Academic Press
Page : 741 pages
File Size : 51,6 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

Author : Rafael Martínez-Guerra,Fidel Meléndez-Vázquez,Iván Trejo-Zúñiga
Publisher : Springer Nature
Page : 192 pages
File Size : 52,8 Mb
Release : 2020-12-14
Category : Science
ISBN : 9783030620943

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Fault-tolerant Control and Diagnosis for Integer and Fractional-order Systems by Rafael Martínez-Guerra,Fidel Meléndez-Vázquez,Iván Trejo-Zúñiga Pdf

This book is about algebraic and differential methods, as well as fractional calculus, applied to diagnose and reject faults in nonlinear systems, which are of integer or fractional order. This represents an extension of a very important and widely studied problem in control theory, namely fault diagnosis and rejection (using differential algebraic approaches), to systems presenting fractional dynamics, i.e. systems whose dynamics are represented by derivatives and integrals of non-integer order. The authors offer a thorough overview devoted to fault diagnosis and fault-tolerant control applied to fractional-order and integer-order dynamical systems, and they introduce new methodologies for control and observation described by fractional and integer models, together with successful simulations and real-time applications. The basic concepts and tools of mathematics required to understand the methodologies proposed are all clearly introduced and explained. Consequently, the book is useful as supplementary reading in courses of applied mathematics and nonlinear control theory. This book is meant for engineers, mathematicians, physicists and, in general, to researchers and postgraduate students in diverse areas who have a minimum knowledge of calculus. It also contains advanced topics for researchers and professionals interested in the area of states and faults estimation.

Author : Artur Babiarz,Adam Czornik,Jerzy Klamka,Michał Niezabitowski
Publisher : Springer
Page : 512 pages
File Size : 42,7 Mb
Release : 2016-09-15
Category : Technology & Engineering
ISBN : 9783319454740

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Theory and Applications of Non-integer Order Systems by Artur Babiarz,Adam Czornik,Jerzy Klamka,Michał Niezabitowski Pdf

This book collects papers from the 8th Conference on Non-Integer Order Calculus and Its Applications that have been held on September 20-21, 2016 in Zakopane, Poland. The preceding two conferences were held in Szczecin, Poland in 2015, and in Opole, Poland, in 2014. This conference provides a platform for academic exchange on the theory and application of fractional calculus between domestic and international universities, research institutes, corporate experts and scholars. The Proceedings of the 8th Conference on Non-Integer Order Calculus and Its Applications 2016 brings together rigorously reviewed contributions from leading international experts. The included papers cover novel various important aspects of mathematical foundations of fractional calculus, modeling and control of fractional systems as well as controllability, detectability, observability and stability problems for this systems.

Author : Dumitru Baleanu,José António Tenreiro Machado,Albert C. J. Luo
Publisher : Springer Science & Business Media
Page : 302 pages
File Size : 47,7 Mb
Release : 2011-11-19
Category : Technology & Engineering
ISBN : 9781461404576

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Fractional Dynamics and Control by Dumitru Baleanu,José António Tenreiro Machado,Albert C. J. Luo Pdf

Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional calculus to solving complicated mathematical and physical problems.Finally, this book also discusses the role that fractional order modeling can play in complex systems for engineering and science.