Fractional-Order Control Systems : : Fundamentals and Numerical Implementations / / Dingyü Xue.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2017 Part 1
• VerfasserIn: Xue, Dingyü,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2017]; ©2017
• Leto izdaje: 2017
• Jezik: English
• Serija: Fractional Calculus in Applied Sciences and Engineering , 1
• Fizični opis: 1 online resource (XVI, 372 p.)
• Other title: Frontmatter --; 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 controllers --; 10. 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
• Izvleček: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110497977; 9783110762495; 9783110719543; 9783110540550; 9783110625264; 9783110548204
• ISSN: 2509-7210
• DOI: 10.1515/9783110497977
• Dostop: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Dingyü Xue.

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...