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Fractional Order Differentiation and Robust Control Design

Fractional Order Differentiation and Robust Control Design Book
Author : Jocelyn Sabatier,Patrick Lanusse,Pierre Melchior,Alain Oustaloup
Publisher : Springer
Release : 2015-05-06
ISBN : 9401798079
Language : En, Es, Fr & De

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Book Description :

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.

Fractional Order Systems

Fractional Order Systems Book
Author : Riccardo Caponetto
Publisher : World Scientific
Release : 2010
ISBN : 9814304204
Language : En, Es, Fr & De

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Book Description :

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 Control Systems

Fractional Order Control Systems Book
Author : Dingyü Xue
Publisher : Walter de Gruyter GmbH & Co KG
Release : 2017-07-10
ISBN : 3110497190
Language : En, Es, Fr & De

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Book Description :

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

Fractional Order Systems Book
Author : Anonim
Publisher : Unknown
Release : 2021-04-10
ISBN : 9814465151
Language : En, Es, Fr & De

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Book Description :

Download Fractional Order Systems book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Fractional Order Motion Controls

Fractional Order Motion Controls Book
Author : Anonim
Publisher : John Wiley & Sons
Release : 2012-11-07
ISBN : 1118387716
Language : En, Es, Fr & De

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Book Description :

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

Fractional order Systems and Controls Book
Author : Concepción A. Monje,YangQuan Chen,Blas M. Vinagre,Dingyu Xue,Vicente Feliu-Batlle
Publisher : Springer Science & Business Media
Release : 2010-09-28
ISBN : 9781849963350
Language : En, Es, Fr & De

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Book Description :

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.

Mathematical Techniques of Fractional Order Systems

Mathematical Techniques of Fractional Order Systems Book
Author : Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan
Publisher : Elsevier
Release : 2018-06-11
ISBN : 012813593X
Language : En, Es, Fr & De

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Book Description :

Mathematical Techniques of Fractional Order Systems illustrates advances in linear and nonlinear fractional-order systems relating to many interdisciplinary applications, including biomedical, control, circuits, electromagnetics and security. The book covers the mathematical background and literature survey of fractional-order calculus and generalized fractional-order circuit theorems from different perspectives in design, analysis and realizations, nonlinear fractional-order circuits and systems, the fractional-order memristive circuits and systems in design, analysis, emulators, simulation and experimental results. It is primarily meant for researchers from academia and industry, and for those working in areas such as control engineering, electrical engineering, computer science and information technology. This book is ideal for researchers working in the area of both continuous-time and discrete-time dynamics and chaotic systems. Discusses multidisciplinary applications with new fundamentals, modeling, analysis, design, realization and experimental results Includes circuits and systems based on new nonlinear elements Covers most of the linear and nonlinear fractional-order theorems that will solve many scientific issues for researchers Closes the gap between theoretical approaches and real-world applications Provides MATLAB® and Simulink code for many applications in the book

Intelligent Fractional Order Systems and Control

Intelligent Fractional Order Systems and Control Book
Author : Indranil Pan,Saptarshi Das
Publisher : Springer
Release : 2012-08-23
ISBN : 3642315496
Language : En, Es, Fr & De

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Book Description :

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.

Advanced Synchronization Control and Bifurcation of Chaotic Fractional Order Systems

Advanced Synchronization Control and Bifurcation of Chaotic Fractional Order Systems Book
Author : Boulkroune, Abdesselem,Ladaci, Samir
Publisher : IGI Global
Release : 2018-05-11
ISBN : 152255419X
Language : En, Es, Fr & De

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Book Description :

In the recent years, fractional-order systems have been studied by many researchers in the engineering field. It was found that many systems can be described more accurately by fractional differential equations than by integer-order models. Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems is a scholarly publication that explores new developments related to novel chaotic fractional-order systems, control schemes, and their applications. Featuring coverage on a wide range of topics including chaos synchronization, nonlinear control, and cryptography, this publication is geared toward engineers, IT professionals, researchers, and upper-level graduate students seeking current research on chaotic fractional-order systems and their applications in engineering and computer science.

Fractional order Modeling and Control of Dynamic Systems

Fractional order Modeling and Control of Dynamic Systems Book
Author : Aleksei Tepljakov
Publisher : Springer
Release : 2017-02-08
ISBN : 3319529501
Language : En, Es, Fr & De

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Book Description :

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.

Design and Real time Implementation of Hybrid Fractional Order Controller for Grid Connected Wind Energy Conversion System

Design and Real time Implementation of Hybrid Fractional Order Controller for Grid Connected Wind Energy Conversion System Book
Author : Anonim
Publisher : Unknown
Release : 2018
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

This paper focuses on the design and real-time implementation of a hybrid fractional order controller (HFC) for a grid connected variable speed wind energy conversion system (WECS). The HFC was integrated to current vector control and direct current control (DCC) to guarantee maximum power extraction and ensuring unity power factor of the grid side. The proposed HFC employs a conventional PI controller, a fractional order PI controller (FO-PI), and a switching algorithm (SA). The parameters of the HFC were calculated using frequency method then adjusted by employing a PSO algorithm. To evaluate the performance of the proposed controller, an experimental test bench has been built in the laboratory using dSPACE1104 card. The WECS contains a wind turbine emulator and permanent magnet synchronous generator (PMSG) feed a nonlinear load and has been connected to the grid via back-to-back converters. The experimental results demonstrate the superiority of the proposed controller over integer order controllers in steady and transient states by realising maximum power extraction and improving the grid-side power factor.

Design of CMOS Analog Integrated Fractional Order Circuits

Design of CMOS Analog Integrated Fractional Order Circuits Book
Author : Georgia Tsirimokou,Costas Psychalinos,Ahmed Elwakil
Publisher : Springer
Release : 2017-05-03
ISBN : 3319556339
Language : En, Es, Fr & De

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Book Description :

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 Control and Synchronization of Chaotic Systems

Fractional Order Control and Synchronization of Chaotic Systems Book
Author : Ahmad Taher Azar,Sundarapandian Vaidyanathan,Adel Ouannas
Publisher : Springer
Release : 2017-02-27
ISBN : 3319502492
Language : En, Es, Fr & De

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Book Description :

The book reports on the latest advances in and applications of fractional order control and synchronization of chaotic systems, explaining the concepts involved in a clear, matter-of-fact style. It consists of 30 original contributions written by eminent scientists and active researchers in the field that address theories, methods and applications in a number of research areas related to fractional order control and synchronization of chaotic systems, such as: fractional chaotic systems, hyperchaotic systems, complex systems, fractional order discrete chaotic systems, chaos control, chaos synchronization, jerk circuits, fractional chaotic systems with hidden attractors, neural network, fuzzy logic controllers, behavioral modeling, robust and adaptive control, sliding mode control, different types of synchronization, circuit realization of chaotic systems, etc. In addition to providing readers extensive information on chaos fundamentals, fractional calculus, fractional differential equations, fractional control and stability, the book also discusses key applications of fractional order chaotic systems, as well as multidisciplinary solutions developed via control modeling. As such, it offers the perfect reference guide for graduate students, researchers and practitioners in the areas of fractional order control systems and fractional order chaotic systems.

Robust Adaptive Control for Fractional Order Systems with Disturbance and Saturation

Robust Adaptive Control for Fractional Order Systems with Disturbance and Saturation Book
Author : Mou Chen,Shuyi Shao,Peng Shi
Publisher : John Wiley & Sons
Release : 2017-12-26
ISBN : 1119393272
Language : En, Es, Fr & De

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Book Description :

A treatise on investigating tracking control and synchronization control of fractional-order nonlinear systems with system uncertainties, external disturbance, and input saturation Robust Adaptive Control for Fractional-Order Systems, with Disturbance and Saturation provides the reader with a good understanding on how to achieve tracking control and synchronization control of fractional-order nonlinear systems with system uncertainties, external disturbance, and input saturation. Although some texts have touched upon control of fractional-order systems, the issues of input saturation and disturbances have rarely been considered together. This book offers chapter coverage of fractional calculus and fractional-order systems; fractional-order PID controller and fractional-order disturbance observer; design of fractional-order controllers for nonlinear chaotic systems and some applications; sliding mode control for fractional-order nonlinear systems based on disturbance observer; disturbance observer based neural control for an uncertain fractional-order rotational mechanical system; adaptive neural tracking control for uncertain fractional-order chaotic systems subject to input saturation and disturbance; stabilization control of continuous-time fractional positive systems based on disturbance observer; sliding mode synchronization control for fractional-order chaotic systems with disturbance; and more. Based on the approximation ability of the neural network (NN), the adaptive neural control schemes are reported for uncertain fractional-order nonlinear systems Covers the disturbance estimation techniques that have been developed to alleviate the restriction faced by traditional feedforward control and reject the effect of external disturbances for uncertain fractional-order nonlinear systems By combining the NN with the disturbance observer, the disturbance observer based adaptive neural control schemes have been studied for uncertain fractional-order nonlinear systems with unknown disturbances Considers, together, the issue of input saturation and the disturbance for the control of fractional-order nonlinear systems in the present of system uncertainty, external disturbance, and input saturation Robust Adaptive Control for Fractional-Order Systems, with Disturbance and Saturation can be used as a reference for the academic research on fractional-order nonlinear systems or used in Ph.D. study of control theory and engineering.

Stabilization and Control of Fractional Order Systems A Sliding Mode Approach

Stabilization and Control of Fractional Order Systems  A Sliding Mode Approach Book
Author : Bijnan Bandyopadhyay,Shyam Kamal
Publisher : Springer
Release : 2014-07-22
ISBN : 3319086219
Language : En, Es, Fr & De

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Book Description :

In the last two decades fractional differential equations have been used more frequently in physics, signal processing, fluid mechanics, viscoelasticity, mathematical biology, electro chemistry and many others. It opens a new and more realistic way to capture memory dependent phenomena and irregularities inside the systems by using more sophisticated mathematical analysis. This monograph is based on the authors’ work on stabilization and control design for continuous and discrete fractional order systems. The initial two chapters and some parts of the third chapter are written in tutorial fashion, presenting all the basic concepts of fractional order system and a brief overview of sliding mode control of fractional order systems. The other parts contain deal with robust finite time stability of fractional order systems, integral sliding mode control of fractional order systems, co-operative control of multi-agent systems modeled as fractional differential equation, robust stabilization of discrete fractional order systems, high performance control using soft variable structure control and contraction analysis by integer and fractional order infinitesimal variations.

Fractional Modeling and Controller Design of Robotic Manipulators

Fractional Modeling and Controller Design of Robotic Manipulators Book
Author : Abhaya Pal Singh
Publisher : Springer Nature
Release : 2021-04-10
ISBN : 3030582477
Language : En, Es, Fr & De

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Book Description :

Download Fractional Modeling and Controller Design of Robotic Manipulators book written by Abhaya Pal Singh, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Fractional Order Devices

Fractional Order Devices Book
Author : Karabi Biswas,Gary Bohannan,Riccardo Caponetto,António Mendes Lopes,José António Tenreiro Machado
Publisher : Springer
Release : 2017-05-11
ISBN : 3319544608
Language : En, Es, Fr & De

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Book Description :

This book focuses on two specific areas related to fractional order systems – the realization of physical devices characterized by non-integer order impedance, usually called fractional-order elements (FOEs); and the characterization of vegetable tissues via electrical impedance spectroscopy (EIS) – and provides readers with new tools for designing new types of integrated circuits. The majority of the book addresses FOEs. The interest in these topics is related to the need to produce “analogue” electronic devices characterized by non-integer order impedance, and to the characterization of natural phenomena, which are systems with memory or aftereffects and for which the fractional-order calculus tool is the ideal choice for analysis. FOEs represent the building blocks for designing and realizing analogue integrated electronic circuits, which the authors believe hold the potential for a wealth of mass-market applications. The freedom to choose either an integer- or non-integer-order analogue integrator/derivator is a new one for electronic circuit designers. The book shows how specific non-integer-order impedance elements can be created using materials with specific structural properties. EIS measures the electrical impedance of a specimen across a given range of frequencies, producing a spectrum that represents the variation of the impedance versus frequency – a technique that has the advantage of avoiding aggressive examinations. Biological tissues are complex systems characterized by dynamic processes that occur at different lengths and time scales; this book proposes a model for vegetable tissues that describes the behavior of such materials by considering the interactions among various relaxing phenomena and memory effects.

Fractional Order Models for Nuclear Reactor Analysis

Fractional Order Models for Nuclear Reactor Analysis Book
Author : Gilberto Espinosa Paredes
Publisher : Woodhead Publishing
Release : 2020-10-27
ISBN : 0128236663
Language : En, Es, Fr & De

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Book Description :

Fractional-Order Models for Nuclear Reactor Analysis presents fractional modeling issues in the context of anomalous diffusion processes in an accessible and practical way. The book emphasizes the importance of non-Fickian diffusion in heterogeneous systems as the core of the nuclear reactor, as well as different variations of diffusion processes in nuclear reactors which are presented to establish the importance of nuclear and thermohydraulic phenomena and the physical side effects of feedback. In addition, the book analyzes core issues in fractional modeling in nuclear reactors surrounding phenomenological description and important analytical sub-diffusive processes in the transport neutron. Users will find the most innovative modeling techniques of nuclear reactors using operator differentials of fractional order and applications in nuclear design and reactor dynamics. Proposed methods are tested with Boltzmann equations and non-linear order models alongside real data from nuclear power plants, making this a valuable resource for nuclear professionals, researchers and graduate students, as well as those working in nuclear research centers with expertise in mathematical modeling, physics and control. Presents and analyzes a new paradigm of nuclear reactor phenomena with fractional modeling Considers principles of fractional calculation, methods of solving differential equations of fractional order, and their applications Includes methodologies of linear and nonlinear analysis, along with design and dynamic analyses