Theory And Applications Of Non Integer Order Systems

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Theory and Applications of Non-integer Order Systems

Author : Artur Babiarz
Publisher : Springer
ISBN 13 : 3319454749
Total Pages : 497 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Theory and Applications of Non-integer Order Systems by : Artur Babiarz

Download or read book Theory and Applications of Non-integer Order Systems written by Artur Babiarz and published by Springer. This book was released on 2016-09-15 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Modelling and Control of Non-integer-Order Systems

Author : Krzysztof J. Latawiec
Publisher : Springer
ISBN 13 : 3319099000
Total Pages : 296 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Advances in Modelling and Control of Non-integer-Order Systems by : Krzysztof J. Latawiec

Download or read book Advances in Modelling and Control of Non-integer-Order Systems written by Krzysztof J. Latawiec and published by Springer. This book was released on 2014-08-16 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents selected aspects of non-integer, or fractional order systems, whose analysis, synthesis and applications have increasingly become a real challenge for various research communities, ranging from science to engineering. The spectrum of applications of the fractional order calculus has incredibly expanded, in fact it would be hard to find a science/engineering-related subject area where the fractional calculus had not been incorporated. The content of the fractional calculus is ranged from pure mathematics to engineering implementations and so is the content of this volume. The volume is subdivided into six parts, reflecting particular aspects of the fractional order calculus. The first part contains a single invited paper on a new formulation of fractional-order descriptor observers for fractional-order descriptor continous LTI systems. The second part provides new elements to the mathematical theory of fractional-order systems. In the third part of this volume, a bunch of new results in approximation, modeling and simulations of fractional-order systems is given. The fourth part presents new solutions to some problems in controllability and control of non-integer order systems, in particular fractional PID-like control. The fifth part analyzes the stability of non-integer order systems and some new results are offered in this important respect, in particular for discrete-time systems. The final, sixth part of this volume presents a spectrum of applications of the noninteger order calculus, ranging from bi-fractional filtering, in particular of electromyographic signals, through the thermal diffusion and advection diffusion processes to the SIEMENS platform implementation. This volume's papers were all subjected to stimulating comments and discussions from the active audience of the RRNR'2014, the 6th Conference on Non-integer Order Calculus and Its Applications that was organized by the Department of Electrical, Control and Computer Engineering, Opole University of Technology, Opole, Poland.

Advances in the Theory and Applications of Non-integer Order Systems

Author : Wojciech Mitkowski
Publisher : Springer Science & Business Media
ISBN 13 : 3319009338
Total Pages : 316 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Advances in the Theory and Applications of Non-integer Order Systems by : Wojciech Mitkowski

Download or read book Advances in the Theory and Applications of Non-integer Order Systems written by Wojciech Mitkowski and published by Springer Science & Business Media. This book was released on 2013-06-03 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents various aspects of non-integer order systems, also known as fractional systems, which have recently attracted an increasing attention in the scientific community of systems science, applied mathematics, control theory. Non-integer systems have become relevant for many fields of science and technology exemplified by the modeling of signal transmission, electric noise, dielectric polarization, heat transfer, electrochemical reactions, thermal processes, acoustics, etc. The content is divided into six parts, every of which considers one of the currently relevant problems. In the first part the Realization problem is discussed, with a special focus on positive systems. The second part considers stability of certain classes of non-integer order systems with and without delays. The third part is focused on such important aspects as controllability, observability and optimization especially in discrete time. The fourth part is focused on distributed systems where non-integer calculus leads to new and interesting results. The next part considers problems of solutions and approximations of non-integer order equations and systems. The final and most extensive part is devoted to applications. Problems from mechatronics, biomedical engineering, robotics and others are all analyzed and solved with tools from fractional systems. This volume came to fruition thanks to high level of talks and interesting discussions at RRNR 2013 - 5th Conference on Non-integer Order Calculus and its Applications that took place at AGH University of Science and Technology in Kraków, Poland, which was organized by the Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering.

Fractional Order Systems—Control Theory and Applications

Author : Omar Naifar
Publisher : Springer Nature
ISBN 13 : 3030714462
Total Pages : 224 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Fractional Order Systems—Control Theory and Applications by : Omar Naifar

Download or read book Fractional Order Systems—Control Theory and Applications written by Omar Naifar and published by Springer Nature. This book was released on 2021-08-30 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theoretical Developments and Applications of Non-Integer Order Systems

Author : Stefan Domek
Publisher : Springer
ISBN 13 : 3319230395
Total Pages : 294 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Theoretical Developments and Applications of Non-Integer Order Systems by : Stefan Domek

Download or read book Theoretical Developments and Applications of Non-Integer Order Systems written by Stefan Domek and published by Springer. This book was released on 2015-08-20 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to presentation of new results of research on systems of non-integer order, called also fractional systems. Their analysis and practical implementation have been the object of spontaneous development for a few last decades. The fractional order models can depict a physical plant better than the classical integer order ones. This covers different research fields such as insulator properties, visco-elastic materials, electrodynamic, electrothermal, electrochemical, economic processes modelling etc. On the other hand fractional controllers often outperform their integer order counterparts. This volume contains new ideas and examples of implementation, theoretical and pure practical aspects of using a non-integer order calculus. It is divided into four parts covering: mathematical fundamentals, modeling and approximations, controllability, observability and stability problems and practical applications of fractional control systems. The first part expands the base of tools and methods of the mathematical basis for non-integer order calculus. Part two focuses on new methods and developments in process modeling and fractional derivatives approximations. In the third part a bunch of papers which raise problems of controllability, observability and stability of non-integer order systems is provided. Part four is devoted to presentation of different fractional order control applications. This book was created thanks to many experts in the field of fractional calculus: authors, anonymous referees whose comments allowed us to improve the final form of the papers and active and inspiring discussion of the participants of RRNR'2015, the 7th Conference on Non-Integer Order Calculus and Its Applications that was organized by the Faculty of Electrical Engineering, West Pomeranian University of Technology, Szczecin, Poland.

Fractional-Order Nonlinear Systems

Author : Ivo Petráš
Publisher : Springer Science & Business Media
ISBN 13 : 3642181015
Total Pages : 218 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Fractional-Order Nonlinear Systems by : Ivo Petráš

Download or read book Fractional-Order Nonlinear Systems written by Ivo Petráš and published by Springer Science & Business Media. This book was released on 2011-05-30 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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 Applications in Engineering

Author : Dumitru Baleanu
Publisher : Academic Press
ISBN 13 : 032390954X
Total Pages : 392 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Fractional Order Systems and Applications in Engineering by : Dumitru Baleanu

Download or read book Fractional Order Systems and Applications in Engineering written by Dumitru Baleanu and published by Academic Press. This book was released on 2022-11-17 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional Order Systems and Applications in Engineering presents the use of fractional calculus (calculus of non-integer order) in the description and modelling of systems and in a range of control design and practical applications. The book covers the fundamentals of fractional calculus together with some analytical and numerical techniques, and provides MATLAB® codes for the simulation of fractional-order control (FOC) systems. The use of fractional calculus can improve and generalize well-established control methods and strategies. Many different FOC schemes are presented for control and dynamic systems problems. These extend to the challenging control engineering design problems of robust and nonlinear control. Practical material relating to a wide variety of applications including, among others, mechatronics, civil engineering, irrigation and water management, and biological systems is also provided. All the control schemes and applications are presented with either system simulation results or real experimental results, or both. Fractional Order Systems and Applications in Engineering introduces readers to the essentials of FOC and imbues them with a basic understanding of FOC concepts and methods. With this knowledge readers 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. - Provides the most recent and up-to-date developments on the Fractional-order Systems and their analyzing process - Integrates recent advancements of modeling of real phenomena (on Fractional-order Systems) via different-different mathematical equations with demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering - Provides readers with illustrative examples of how to use the presented theories of Fractional-order Systems in specific cases with associated MATLAB code

Basic Theory

Author : Anatoly Kochubei
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110571625
Total Pages : 490 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Basic Theory by : Anatoly Kochubei

Download or read book Basic Theory written by Anatoly Kochubei and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.

Advanced, Contemporary Control

Author : Andrzej Bartoszewicz
Publisher : Springer Nature
ISBN 13 : 3030509362
Total Pages : 1560 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Advanced, Contemporary Control by : Andrzej Bartoszewicz

Download or read book Advanced, Contemporary Control written by Andrzej Bartoszewicz and published by Springer Nature. This book was released on 2020-06-24 with total page 1560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the 20th Polish Control Conference. A triennial event that was first held in 1958, the conference successfully combines its long tradition with a modern approach to shed light on problems in control engineering, automation, robotics and a wide range of applications in these disciplines. The book presents new theoretical results concerning the steering of dynamical systems, as well as industrial case studies and worked solutions to real-world problems in contemporary engineering. It particularly focuses on the modelling, identification, analysis and design of automation systems; however, it also addresses the evaluation of their performance, efficiency and reliability. Other topics include fault-tolerant control in robotics, automated manufacturing, mechatronics and industrial systems. Moreover, it discusses data processing and transfer issues, covering a variety of methodologies, including model predictive, robust and adaptive techniques, as well as algebraic and geometric methods, and fractional order calculus approaches. The book also examines essential application areas, such as transportation and autonomous intelligent vehicle systems, robotic arms, mobile manipulators, cyber-physical systems, electric drives and both surface and underwater marine vessels. Lastly, it explores biological and medical applications of the control-theory-inspired methods.

Nonlinear Noninteger Order Circuits and Systems

Author : Paolo Arena
Publisher : World Scientific
ISBN 13 : 9789810244019
Total Pages : 218 pages
Book Rating : 4.2/5 (44 download)

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Book Synopsis Nonlinear Noninteger Order Circuits and Systems by : Paolo Arena

Download or read book Nonlinear Noninteger Order Circuits and Systems written by Paolo Arena and published by World Scientific. This book was released on 2000 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the reader will find a theoretical introduction to noninteger order systems, as well as several applications showing their features and peculiarities. The main definitions and results of research on noninteger order systems and modelling of physical noninteger phenomena are reported together with problems of their approximation. Control applications, noninteger order CNNs and circuit realizations of noninteger order systems are also presented.The book is intended for students and researchers involved in the simulation and control of nonlinear noninteger order systems, with particular attention to those involved in the study of chaotic systems and the modelling of nonlinear spatiotemporal phenomena.

Automatic Control, Robotics, and Information Processing

Author : Piotr Kulczycki
Publisher : Springer Nature
ISBN 13 : 3030485870
Total Pages : 843 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Automatic Control, Robotics, and Information Processing by : Piotr Kulczycki

Download or read book Automatic Control, Robotics, and Information Processing written by Piotr Kulczycki and published by Springer Nature. This book was released on 2020-09-03 with total page 843 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a wide and comprehensive range of issues and problems in various fields of science and engineering, from both theoretical and applied perspectives. The desire to develop more effective and efficient tools and techniques for dealing with complex processes and systems has been a natural inspiration for the emergence of numerous fields of science and technology, in particular control and automation and, more recently, robotics. The contributions gathered here concern the development of methods and algorithms to determine best practices regarding broadly perceived decisions or controls. From an engineering standpoint, many of them focus on how to automate a specific process or complex system. From a tools-based perspective, several contributions address the development of analytic and algorithmic methods and techniques, devices and systems that make it possible to develop and subsequently implement the automation and robotization of crucial areas of human activity. All topics discussed are illustrated with sample applications.

Fractional Calculus in Medical and Health Science

Author : Devendra Kumar
Publisher : CRC Press
ISBN 13 : 1000081818
Total Pages : 265 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Fractional Calculus in Medical and Health Science by : Devendra Kumar

Download or read book Fractional Calculus in Medical and Health Science written by Devendra Kumar and published by CRC Press. This book was released on 2020-07-09 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers applications of fractional calculus used for medical and health science. It offers a collection of research articles built into chapters on classical and modern dynamical systems formulated by fractional differential equations describing human diseases and how to control them. The mathematical results included in the book will be helpful to mathematicians and doctors by enabling them to explain real-life problems accurately. The book will also offer case studies of real-life situations with an emphasis on describing the mathematical results and showing how to apply the results to medical and health science, and at the same time highlighting modeling strategies. The book will be useful to graduate level students, educators and researchers interested in mathematics and medical science.

Fractional Dynamical Systems: Methods, Algorithms and Applications

Author : Piotr Kulczycki
Publisher : Springer Nature
ISBN 13 : 3030899721
Total Pages : 398 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Fractional Dynamical Systems: Methods, Algorithms and Applications by : Piotr Kulczycki

Download or read book Fractional Dynamical Systems: Methods, Algorithms and Applications written by Piotr Kulczycki and published by Springer Nature. This book was released on 2022-01-04 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Trends in Advanced Intelligent Control, Optimization and Automation

Author : Wojciech Mitkowski
Publisher : Springer
ISBN 13 : 3319606999
Total Pages : 886 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Trends in Advanced Intelligent Control, Optimization and Automation by : Wojciech Mitkowski

Download or read book Trends in Advanced Intelligent Control, Optimization and Automation written by Wojciech Mitkowski and published by Springer. This book was released on 2017-06-06 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the KKA 2017 – the 19th Polish Control Conference, organized by the Department of Automatics and Biomedical Engineering, AGH University of Science and Technology in Kraków, Poland on June 18–21, 2017, under the auspices of the Committee on Automatic Control and Robotics of the Polish Academy of Sciences, and the Commission for Engineering Sciences of the Polish Academy of Arts and Sciences. Part 1 deals with general issues of modeling and control, notably flow modeling and control, sliding mode, predictive, dual, etc. control. In turn, Part 2 focuses on optimization, estimation and prediction for control. Part 3 is concerned with autonomous vehicles, while Part 4 addresses applications. Part 5 discusses computer methods in control, and Part 6 examines fractional order calculus in the modeling and control of dynamic systems. Part 7 focuses on modern robotics. Part 8 deals with modeling and identification, while Part 9 deals with problems related to security, fault detection and diagnostics. Part 10 explores intelligent systems in automatic control, and Part 11 discusses the use of control tools and techniques in biomedical engineering. Lastly, Part 12 considers engineering education and teaching with regard to automatic control and robotics.

Automation 2018

Author : Roman Szewczyk
Publisher : Springer
ISBN 13 : 3319771795
Total Pages : 803 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Automation 2018 by : Roman Szewczyk

Download or read book Automation 2018 written by Roman Szewczyk and published by Springer. This book was released on 2018-03-07 with total page 803 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of papers presented at Automation 2018, an international conference held in Warsaw from March 21 to 23, 2018. It discusses the radical technological changes occurring due to the INDUSTRY 4.0, with a focus on offering a better understanding of the Fourth Industrial Revolution. Each chapter presents a detailed analysis of interdisciplinary knowledge, numerical modeling and simulation as well as the application of cyber-physical systems, where information technology and physical devices create synergic systems leading to unprecedented efficiency. The theoretical results, practical solutions and guidelines presented are valuable for both researchers working in the area of engineering sciences and practitioners looking for solutions to industrial problems.

Automation 2017

Author : Roman Szewczyk
Publisher : Springer
ISBN 13 : 3319540424
Total Pages : 614 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Automation 2017 by : Roman Szewczyk

Download or read book Automation 2017 written by Roman Szewczyk and published by Springer. This book was released on 2017-02-28 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of papers presented at Automation 2017, an international conference held in Warsaw from March 15 to 17, 2017. It discusses research findings associated with the concepts behind INDUSTRY 4.0, with a focus on offering a better understanding of and promoting participation in the Fourth Industrial Revolution. Each chapter presents a detailed analysis of a specific technical problem, in most cases followed by a numerical analysis, simulation and description of the results of implementing the solution in a real-world context. The theoretical results, practical solutions and guidelines presented are valuable for both researchers working in the area of engineering sciences and practitioners looking for solutions to industrial problems.

Fractional-order Systems and Controls

Author : Concepción A. Monje
Publisher : Springer Science & Business Media
ISBN 13 : 1849963355
Total Pages : 430 pages
Book Rating : 4.8/5 (499 download)

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Book Synopsis Fractional-order Systems and Controls by : Concepción A. Monje

Download or read book Fractional-order Systems and Controls written by Concepción A. Monje and published by Springer Science & Business Media. This book was released on 2010-09-28 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.