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: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2017]
|
| Schriftenreihe: | Fractional Calculus in Applied Sciences and Engineering
1 |
| Schlagworte: | |
| Online-Zugang: | DE-573 DE-898 DE-859 DE-860 DE-91 DE-20 DE-706 DE-739 DE-1046 DE-1043 DE-858 URL des Erstveröffentlichers |
| 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: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 24. Jul 2017) |
| Beschreibung: | 1 online resource (388 pages) |
| ISBN: | 9783110497977 |
| DOI: | 10.1515/9783110497977 |
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| isbn | 9783110497977 |
| language | English |
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| spelling | Xue, Dingyu (DE-588)1098160967 aut Fractional-Order Control Systems Fundamentals and Numerical Implementations Dingyü Xue Berlin ; Boston De Gruyter [2017] © 2017 1 online resource (388 pages) txt rdacontent c rdamedia cr rdacarrier Fractional Calculus in Applied Sciences and Engineering 1 Description based on online resource; title from PDF title page (publisher's Web site, viewed 24. Jul 2017) 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 Kontrollsystem (DE-588)4126040-5 gnd rswk-swf Modellierung (DE-588)4170297-9 gnd rswk-swf Gebrochene Analysis (DE-588)4722475-7 gnd rswk-swf Gebrochene Analysis (DE-588)4722475-7 s Kontrollsystem (DE-588)4126040-5 s Modellierung (DE-588)4170297-9 s DE-604 Erscheint auch als Druck-Ausgabe 978-3-11-049999-5 https://doi.org/10.1515/9783110497977 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Xue, Dingyu Fractional-Order Control Systems Fundamentals and Numerical Implementations Kontrollsystem (DE-588)4126040-5 gnd Modellierung (DE-588)4170297-9 gnd Gebrochene Analysis (DE-588)4722475-7 gnd |
| subject_GND | (DE-588)4126040-5 (DE-588)4170297-9 (DE-588)4722475-7 |
| 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 | Kontrollsystem (DE-588)4126040-5 gnd Modellierung (DE-588)4170297-9 gnd Gebrochene Analysis (DE-588)4722475-7 gnd |
| topic_facet | Kontrollsystem Modellierung Gebrochene Analysis |
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| work_keys_str_mv | AT xuedingyu fractionalordercontrolsystemsfundamentalsandnumericalimplementations |