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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Main Author: | |
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Format: | Electronic eBook |
Language: | English |
Published: |
Berlin/Boston :
De Gruyter,
2017.
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Series: | Fractional calculus in applied sciences and engineering.
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Subjects: | |
Online Access: | CONNECT |
MARC
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100 | 1 | |a Xue, Dingyü. | |
245 | 1 | 0 | |a Fractional-order control systems : |b fundamentals and numerical implementations / |c Dingyü Xue. |
260 | |a Berlin/Boston : |b De Gruyter, |c 2017. | ||
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490 | 1 | |a Fractional Calculus in Applied Sciences and Engineering ; |v v. 1 | |
588 | 0 | |a Print version record. | |
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. | ||
500 | |a EBSCO eBook Academic Comprehensive Collection North America |5 TMurS | ||
650 | 0 | |a Fractional calculus. | |
730 | 0 | |a WORLDSHARE SUB RECORDS | |
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830 | 0 | |a Fractional calculus in applied sciences and engineering. | |
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