Fractional-Order Control Systems (eBook)

Fundamentals and Numerical Implementations
Artikelnummer: 978-3-11-049797-7
Einband: PDF
Verfügbarkeit: Download, sofort verfügbar (Link per E-Mail)
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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

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

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VerlagDe Gruyter
EinbandPDF
Erscheinungsjahr2017
Seitenangabe388 S.
AusgabekennzeichenEnglisch
Abbildungen175 ill.
Auflage17001 A. 1. Auflage
PlattformPDF
ReiheFractional Calculus in Applied Sciences and Engineering
AutorXue, Dingyü

Alle Bände der Reihe "Fractional Calculus in Applied Sciences and Engineering"

Über den Autor Dingyü Xue

Xue Dingyu, received his doctorate from Sussex University in 1992, and took his post at Northeastern University in China in 1993, where he was promoted to full professorship in 1997. He started his teaching work on MATLAB since 1990, where he designed a Lab Demonstration GUI for Classroom in Sussex University, while he we doing his D Phil research. In 1996, he published his first MATLAB book in Chinese, entitled "Computer aided Control System Design with MATLAB Applications" in Tsinghua University Press in China, which was regarded the first in China, and one of the first few earliest ones in the world. In 30+ years of time, he has published 12 books in English plus numerous books in Chinese. The recent ones are the six-volume works on scientific computing and simulation, published in De Gruyter, Berlin, in 2020-2022.He received many teaching honors and awards in China, for National-level Elite Courses, Textbooks, and National First-class Undergraduate courses, and national-level Educational Awards. He is the co-founder and vice-chair of the Fractional-order Systems and Control Committee, China Automation Association. He received two China Natural Science Foundation grants on fractional systems. Co-author (4th) of the 2010 Springer monograph on fractional calculus, Author of the 2017 De Gruyter monograph on Fractional calculus and fractional-order control. He is the author of the FOTF MATLAB Toolbox, one of the four most widely used MATLAB tools in the fractional calculus community worldwide.    Bai Lu, was a PhD candidate under Xue Dingyu's supervision. He received his doctorate from Northeastern University in 2018, with many contributions in high-precision algorithms. He is now a lecturer in Shenyang University. He is also the co-author of the Chinese version of the proposed monograph.

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