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Fractional-order Systems and Controls

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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

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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 Control Systems

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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

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Author :
Release : 2010
Genre : Computers
Kind : eBook
Book Rating : 204/5 ( reviews)

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Book Synopsis Fractional Order Systems by : Riccardo Caponetto

Download or read book Fractional Order Systems written by Riccardo Caponetto. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: 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 Modeling and Control of Dynamic Systems

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Release : 2017-02-08
Genre : Technology & Engineering
Kind : eBook
Book Rating : 501/5 ( reviews)

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Book Synopsis Fractional-order Modeling and Control of Dynamic Systems by : Aleksei Tepljakov

Download or read book Fractional-order Modeling and Control of Dynamic Systems written by Aleksei Tepljakov. This book was released on 2017-02-08. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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