Fractional-order control systems : fundamentals and numerical implementations /

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 im...

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Bibliographic Details
Main Author: Xue, Dingyü
Format: Electronic eBook
Language:English
Published: Berlin/Boston : De Gruyter, 2017.
Series:Fractional calculus in applied sciences and engineering.
Subjects:
Online Access:CONNECT

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245 1 0 |a Fractional-order control systems :  |b fundamentals and numerical implementations /  |c Dingyü Xue. 
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490 1 |a Fractional Calculus in Applied Sciences and Engineering ;  |v v. 1 
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505 0 |a Foreword; Preface; Contents; 1. Introduction to fractional calculus and fractional-order control; 2. Mathematical prerequisites; 3. Definitions and computation algorithms of fractional-order derivatives and integrals; 4. Solutions of linear fractional-order differential equations; 5. Approximation of fractional-order operators; 6. Modelling and analysis of multivariable fractional-order transfer function matrices; 7. State space modelling and analysis of linear fractional-order systems; 8. Numerical solutions of nonlinear fractional-order differential equations. 
505 8 |a 9. Design of fractional-order PID controllers10. Frequency domain controller design for multivariable fractional-order systems; A. Inverse Laplace transforms involving fractional and irrational operations; B. FOTF Toolbox functions and models; C. Benchmark problems for the assessment of fractional-order differential equation algorithms; Bibliography; Index. 
520 |a 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. ContentsIntroduction to fractional calculus and fractional-order controlMathematical prerequisitesDefinitions and computation algorithms of fractional-order derivatives and IntegralsSolutions of linear fractional-order differential equationsApproximation of fractional-order operatorsModelling and analysis of multivariable fractional-order transfer function MatricesState space modelling and analysis of linear fractional-order SystemsNumerical solutions of nonlinear fractional-order differential EquationsDesign of fractional-order PID controllersFrequency domain controller design for multivariable fractional-order SystemsInverse Laplace transforms involving fractional and irrational OperationsFOTF Toolbox functions and modelsBenchmark problems for the assessment of fractional-order differential equation algorithms. 
546 |a In English. 
504 |a Includes bibliographical references (pages 365-368) and index. 
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