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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin/Boston :
De Gruyter,
2017.
|
| Schriftenreihe: | Fractional calculus in applied sciences and engineering.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (388 pages) |
| Bibliographie: | Includes bibliographical references (pages 365-368) and index. |
| ISBN: | 9783110497977 3110497972 9783110497199 3110497190 9783110499995 3110499991 |
Internformat
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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. | ||
| 650 | 0 | |a Fractional calculus. |0 http://id.loc.gov/authorities/subjects/sh93004015 | |
| 650 | 6 | |a Dérivées fractionnaires. | |
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| 650 | 7 | |a Fractional calculus |2 fast | |
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Datensatz im Suchindex
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| adam_text | |
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| author | Xue, Dingyü |
| author_facet | Xue, Dingyü |
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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. |
| ctrlnum | (OCoLC)993064142 |
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| dewey-search | 530.155 |
| dewey-sort | 3530.155 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Electronic eBook |
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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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="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.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 365-368) and index.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Fractional calculus.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh93004015</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Dérivées fractionnaires.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">SCIENCE</subfield><subfield code="x">Energy.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">SCIENCE</subfield><subfield code="x">Mechanics</subfield><subfield code="x">General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">SCIENCE</subfield><subfield code="x">Physics</subfield><subfield code="x">General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Fractional calculus</subfield><subfield code="2">fast</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">(Produktform)Electronic book text</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">(Zielgruppe)Fachpublikum/ Wissenschaft</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">(BISAC Subject Heading)MAT005000</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">(BISAC Subject Heading)TEC004000: TEC004000 TECHNOLOGY / Automation</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">(BISAC Subject Heading)MAT007000: MAT007000 MATHEMATICS / Differential Equations</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">(VLB-WN)9620</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">(Produktrabattgruppe)PR: rabattbeschränkt/Bibliothekswerke</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Fractional-order control systems (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCFFGMh4gfCkgdXxHf7BByd</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Xue, Dingyü.</subfield><subfield code="t">Fractional-Order Control Systems : Fundamentals and Numerical Implementations.</subfield><subfield code="d">Berlin/Boston : De Gruyter, ©2017</subfield><subfield code="z">9783110499995</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Fractional calculus in applied sciences and engineering.</subfield><subfield code="0">http://id.loc.gov/authorities/names/no2017144168</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1547682</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="936" ind1=" " ind2=" "><subfield code="a">BATCHLOAD</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH32848480</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH35109132</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">De Gruyter</subfield><subfield code="b">DEGR</subfield><subfield code="n">9783110497977</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBL - 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| id | ZDB-4-EBA-ocn993064142 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:27:55Z |
| institution | BVB |
| isbn | 9783110497977 3110497972 9783110497199 3110497190 9783110499995 3110499991 |
| language | English |
| oclc_num | 993064142 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (388 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | De Gruyter, |
| record_format | marc |
| 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 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 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 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1547682 Volltext |
| 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 |
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| work_keys_str_mv | AT xuedingyu fractionalordercontrolsystemsfundamentalsandnumericalimplementations |