Fractional order Systems and Controls

Fractional order Systems and Controls
Author: Concepción A. Monje,YangQuan Chen,Blas M. Vinagre,Dingyu Xue,Vicente Feliu-Batlle
Publsiher: Springer Science & Business Media
Total Pages: 415
Release: 2010-09-28
Genre: Technology & Engineering
ISBN: 9781849963350

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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 Systems Control Theory and Applications

Fractional Order Systems   Control Theory and Applications
Author: Omar Naifar,Abdellatif Ben Makhlouf
Publsiher: Springer Nature
Total Pages: 224
Release: 2021-08-30
Genre: Technology & Engineering
ISBN: 9783030714468

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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 Control Systems

Fractional Order Control Systems
Author: Dingyü Xue
Publsiher: Walter de Gruyter GmbH & Co KG
Total Pages: 388
Release: 2017-07-10
Genre: Mathematics
ISBN: 9783110497199

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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

Intelligent Fractional Order Systems and Control

Intelligent Fractional Order Systems and Control
Author: Indranil Pan,Saptarshi Das
Publsiher: Springer
Total Pages: 305
Release: 2012-08-23
Genre: Technology & Engineering
ISBN: 9783642315497

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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 Systems

Fractional Order Systems
Author: Riccardo Caponetto
Publsiher: World Scientific
Total Pages: 201
Release: 2010
Genre: Computers
ISBN: 9789814304207

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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 Motion Controls

Fractional Order Motion Controls
Author: Anonim
Publsiher: John Wiley & Sons
Total Pages: 472
Release: 2012-11-07
Genre: Science
ISBN: 9781118387719

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Covering fractional order theory, simulation and experiments,this book explains how fractional order modelling and fractionalorder controller design compares favourably with traditionalvelocity and position control systems. The authors systematicallycompare the two approaches using applied fractional calculus.Stability theory in fractional order controllers design is alsoanalysed. Presents material suitable for a variety of real-worldapplications, including hard disk drives, vehicular controls, robotcontrol and micropositioners in DNA microarray analysis Includes extensive experimental results from both lab benchlevel tests and industrial level, mass-production-readyimplementations Covers detailed derivations and numerical simulations for eachcase Discusses feasible design specifications, ideal for practicingengineers The book also covers key topics including: fractional orderdisturbance cancellation and adaptive learning control studies forexternal disturbances; optimization approaches for nonlinear systemcontrol and design schemes with backlash and friction.Illustrations and experimental validations are included for each ofthe proposed control schemes to enable readers to develop a clearunderstanding of the approaches covered, and move on to apply themin real-world scenarios.

Fractional order Systems and PID Controllers

Fractional order Systems and PID Controllers
Author: Kishore Bingi,Rosdiazli Ibrahim,Mohd Noh Karsiti,Sabo Miya Hassan,Vivekananda Rajah Harindran
Publsiher: Springer Nature
Total Pages: 256
Release: 2019-10-31
Genre: Technology & Engineering
ISBN: 9783030339340

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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 Differentiation and Robust Control Design

Fractional Order Differentiation and Robust Control Design
Author: Jocelyn Sabatier,Patrick Lanusse,Pierre Melchior,Alain Oustaloup
Publsiher: Springer
Total Pages: 323
Release: 2015-05-06
Genre: Technology & Engineering
ISBN: 9789401798075

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This book provides an overview of the research done and results obtained during the last ten years in the fields of fractional systems control, fractional PI and PID control, robust and CRONE control, and fractional path planning and path tracking. Coverage features theoretical results, applications and exercises. The book will be useful for post-graduate students who are looking to learn more on fractional systems and control. In addition, it will also appeal to researchers from other fields interested in increasing their knowledge in this area.