| Description |
1 online resource (388 pages). |
|
text file PDF |
| Series |
Fractional Calculus in Applied Sciences and Engineering ; v. 1
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Fractional calculus in applied sciences and engineering.
|
| Contents |
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. |
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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. |
| Summary |
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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Language |
In English. |
| Subject |
Fractional calculus.
|
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Fractional calculus. |
| Indexed Term |
(Produktform)Electronic book text |
|
(Zielgruppe)Fachpublikum/ Wissenschaft |
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(BISAC Subject Heading)MAT005000 |
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(BISAC Subject Heading)TEC004000: TEC004000 TECHNOLOGY / Automation |
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(BISAC Subject Heading)MAT007000: MAT007000 MATHEMATICS / Differential Equations |
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(VLB-WN)9620 |
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(Produktrabattgruppe)PR: rabattbeschränkt/Bibliothekswerke |
| Genre/Form |
Electronic books.
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Electronic books.
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| Other Form: |
Print version: Xue, Dingyü. Fractional-Order Control Systems : Fundamentals and Numerical Implementations. Berlin/Boston : De Gruyter, ©2017 9783110499995 |
| ISBN |
9783110497977 |
|
3110497972 |
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9783110497199 |
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3110497190 |
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3110499991 |
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3110497980 |
| Standard No. |
10.1515/9783110497977 |
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9783110497977 |
|
urn:nbn:de:101:1-201707125019 |
|
