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[null,"1.","Record Nr.",null,"UNINA9910795932803321"]
[null,null,"Autore",null,"Xue Dingyü"]
[null,null,"Titolo",null,"Fractional-order control systems : fundamentals and numerical implementations / / Dingyü Xue"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017"]
[{"$nulls":4},"©2017"]
[null,null,"ISBN",null,"3-11-049719-0"]
[{"$nulls":4},"3-11-049797-2"]
[null,null,"Descrizione fisica",null,"1 online resource (372 pages) : color illustrations"]
[null,null,"Collana",null,"Fractional Calculus in Applied Sciences and Engineering, , 2509-7210 ; ; Volume 1"]
[null,null,"Disciplina",null,"629.8"]
[null,null,"Soggetti",null,"Automatic control - Mathematical models"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"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"]
[null,null,null,"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 "]
[{"$nulls":4},"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"]