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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin/Boston :
De Gruyter,
2017.
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| Colección: | Fractional calculus in applied sciences and engineering.
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| Temas: | |
| Acceso en línea: | Texto completo |
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. | ||
| 300 | |a 1 online resource (388 pages) | ||
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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. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Fractional calculus. | |
| 650 | 6 | |a Dérivées fractionnaires. | |
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| 650 | 7 | |a SCIENCE |x Mechanics |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Physics |x General. |2 bisacsh | |
| 650 | 7 | |a Fractional calculus |2 fast | |
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| 653 | |a (BISAC Subject Heading)TEC004000: TEC004000 TECHNOLOGY / Automation | ||
| 653 | |a (BISAC Subject Heading)MAT007000: MAT007000 MATHEMATICS / Differential Equations | ||
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| 776 | 0 | 8 | |i Print version: |a Xue, Dingyü. |t Fractional-Order Control Systems : Fundamentals and Numerical Implementations. |d Berlin/Boston : De Gruyter, ©2017 |z 9783110499995 |
| 830 | 0 | |a Fractional calculus in applied sciences and engineering. | |
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