Fractional-order control systems : fundamentals and numerical implementations / / Dingyü Xue

• Autore: Xue Dingyü
• Pubblicazione: Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017; ©2017
• Descrizione fisica: 1 online resource (372 pages) : color illustrations
• Disciplina: 629.8
• Soggetto topico: Automatic control - Mathematical models
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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
• Sommario/riassunto: 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
• Titolo autorizzato: Fractional-order control systems
• ISBN: 3-11-049719-0; 3-11-049797-2
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910809263603321
• Lo trovi qui: Univ. Federico II