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Fractional-Order Control Systems

2017-07-10 Mathematics
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Release : 2017-07-10
Genre : Mathematics
Kind : eBook
Book Rating : 190/5 ( reviews)

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Book Synopsis Fractional-Order Control Systems by : Dingyü Xue

Download or read book Fractional-Order Control Systems written by Dingyü Xue. This book was released on 2017-07-10. Available in PDF, EPUB and Kindle. Book excerpt: 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 Controls

2010-09-28 Technology & Engineering
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Release : 2010-09-28
Genre : Technology & Engineering
Kind : eBook
Book Rating : 355/5 ( reviews)

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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. This book was released on 2010-09-28. 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.

Fractional Order Systems—Control Theory and Applications

2021-08-30 Technology & Engineering
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Release : 2021-08-30
Genre : Technology & Engineering
Kind : eBook
Book Rating : 462/5 ( reviews)

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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. This book was released on 2021-08-30. 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.

Fractional-order Systems and PID Controllers

2019-10-31 Technology & Engineering
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Release : 2019-10-31
Genre : Technology & Engineering
Kind : eBook
Book Rating : 343/5 ( reviews)

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Book Synopsis Fractional-order Systems and PID Controllers by : Kishore Bingi

Download or read book Fractional-order Systems and PID Controllers written by Kishore Bingi. This book was released on 2019-10-31. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Intelligent Fractional Order Systems and Control

2012-08-24 Computers
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Release : 2012-08-24
Genre : Computers
Kind : eBook
Book Rating : 480/5 ( reviews)

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Book Synopsis Intelligent Fractional Order Systems and Control by : Indranil Pan

Download or read book Intelligent Fractional Order Systems and Control written by Indranil Pan. This book was released on 2012-08-24. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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