### Fractional Order Design

 Author : Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said Publsiher : Academic Press Total Pages : 550 Release : 2021-10-22 Genre : Technology & Engineering ISBN : 9780323902045

Fractional-Order Design: Devices, Circuits, and Systems introduces applications from the design perspective so that the reader can learn about, and get ready to, design these applications. The book also includes the different techniques employed to comprehensively and straightforwardly design fractional-order systems/devices. Furthermore, a lot of mathematics is available in the literature for solving the fractional-order calculus for system application. However, a small portion is employed in the design of fractional-order systems. This book introduces the mathematics that has been employed explicitly for fractional-order systems. Students and scholars who wants to quickly understand the field of fractional-order systems and contribute to its different domains and applications will find this book a welcomed resource. 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 the possible new areas of applications of fractional-order systems

### Fractional order Modeling and Control of Dynamic Systems

 Author : Aleksei Tepljakov Publsiher : Springer Total Pages : 184 Release : 2017-02-08 Genre : Technology & Engineering ISBN : 9783319529509

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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 : Georgia Tsirimokou,Costas Psychalinos,Ahmed Elwakil Publsiher : Springer Total Pages : 114 Release : 2017-04-12 Genre : Technology & Engineering ISBN : 9783319556338

This book describes the design and realization of analog fractional-order circuits, which are suitable for on-chip implementation, capable of low-voltage operation and electronic adjustment of their characteristics. The authors provide a brief introduction to fractional-order calculus, followed by design issues for fractional-order circuits of various orders and types. The benefits of this approach are demonstrated with current-mode and voltage-mode filter designs. Electronically tunable emulators of fractional-order capacitors and inductors are presented, where the behavior of the corresponding chips fabricated using the AMS 0.35um CMOS process has been experimentally verified. Applications of fractional-order circuits are demonstrated, including a pre-processing stage suitable for the implementation of the Pan-Tompkins algorithm for detecting the QRS complexes of an electrocardiogram (ECG), a fully tunable implementation of the Cole-Cole model used for the modeling of biological tissues, and a simple, non-impedance based measuring technique for super-capacitors.

### Fractional Order Systems

 Author : Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said Publsiher : Academic Press Total Pages : 614 Release : 2021-10-13 Genre : Technology & Engineering ISBN : 9780128243343

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

### 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 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

## Download Fractional order Systems and Controls Book in PDF, Epub and Kindle

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 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

### Fractional Order Systems

 Author : Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan Publsiher : Academic Press Total Pages : 741 Release : 2018-08-16 Genre : Technology & Engineering ISBN : 9780128163085