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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...

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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:	Fractional calculus. Dérivées fractionnaires. SCIENCE > Energy. SCIENCE > Mechanics > General. SCIENCE > Physics > General. Fractional calculus (Produktform)Electronic book text (Zielgruppe)Fachpublikum/ Wissenschaft (BISAC Subject Heading)MAT005000 (BISAC Subject Heading)TEC004000: TEC004000 TECHNOLOGY / Automation (BISAC Subject Heading)MAT007000: MAT007000 MATHEMATICS / Differential Equations (VLB-WN)9620 (Produktrabattgruppe)PR: rabattbeschränkt/Bibliothekswerke Electronic books.
Online Access:	DE-862 DE-863
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.
Physical Description:	1 online resource (388 pages)
Bibliography:	Includes bibliographical references (pages 365-368) and index.
ISBN:	9783110497977 3110497972 9783110497199 3110497190 9783110499995 3110499991

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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.
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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.
650		0	\|a Fractional calculus. \|0 http://id.loc.gov/authorities/subjects/sh93004015
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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. 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.
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genre	Electronic books.
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id	ZDB-4-EBA-ocn993064142
illustrated	Not Illustrated
indexdate	2025-04-11T08:43:50Z
institution	BVB
isbn	9783110497977 3110497972 9783110497199 3110497190 9783110499995 3110499991
language	English
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physical	1 online resource (388 pages)
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series	Fractional calculus in applied sciences and engineering.
series2	Fractional Calculus in Applied Sciences and Engineering ;
spelling	Xue, Dingyü. Fractional-order control systems : fundamentals and numerical implementations / Dingyü Xue. Berlin/Boston : De Gruyter, 2017. 1 online resource (388 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF Fractional Calculus in Applied Sciences and Engineering ; v. 1 Print version record. 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. 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. 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. In English. Includes bibliographical references (pages 365-368) and index. Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dérivées fractionnaires. SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh Fractional calculus fast (Produktform)Electronic book text (Zielgruppe)Fachpublikum/ Wissenschaft (BISAC Subject Heading)MAT005000 (BISAC Subject Heading)TEC004000: TEC004000 TECHNOLOGY / Automation (BISAC Subject Heading)MAT007000: MAT007000 MATHEMATICS / Differential Equations (VLB-WN)9620 (Produktrabattgruppe)PR: rabattbeschränkt/Bibliothekswerke Electronic books. has work: Fractional-order control systems (Text) https://id.oclc.org/worldcat/entity/E39PCFFGMh4gfCkgdXxHf7BByd https://id.oclc.org/worldcat/ontology/hasWork Print version: Xue, Dingyü. Fractional-Order Control Systems : Fundamentals and Numerical Implementations. Berlin/Boston : De Gruyter, ©2017 9783110499995 Fractional calculus in applied sciences and engineering. http://id.loc.gov/authorities/names/no2017144168
spellingShingle	Xue, Dingyü Fractional-order control systems : fundamentals and numerical implementations / Fractional calculus in applied sciences and engineering. 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. 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. Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dérivées fractionnaires. SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh Fractional calculus fast
subject_GND	http://id.loc.gov/authorities/subjects/sh93004015
title	Fractional-order control systems : fundamentals and numerical implementations /
title_auth	Fractional-order control systems : fundamentals and numerical implementations /
title_exact_search	Fractional-order control systems : fundamentals and numerical implementations /
title_full	Fractional-order control systems : fundamentals and numerical implementations / Dingyü Xue.
title_fullStr	Fractional-order control systems : fundamentals and numerical implementations / Dingyü Xue.
title_full_unstemmed	Fractional-order control systems : fundamentals and numerical implementations / Dingyü Xue.
title_short	Fractional-order control systems :
title_sort	fractional order control systems fundamentals and numerical implementations
title_sub	fundamentals and numerical implementations /
topic	Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dérivées fractionnaires. SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh Fractional calculus fast
topic_facet	Fractional calculus. Dérivées fractionnaires. SCIENCE Energy. SCIENCE Mechanics General. SCIENCE Physics General. Fractional calculus Electronic books.
work_keys_str_mv	AT xuedingyu fractionalordercontrolsystemsfundamentalsandnumericalimplementations

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