03984nam 2200517 450 991080926360332120230809224931.03-11-049719-03-11-049797-210.1515/9783110497977(CKB)3710000001418572(MiAaPQ)EBC4895041(DE-B1597)470239(OCoLC)993064142(OCoLC)999373946(DE-B1597)9783110497977(Au-PeEL)EBL4895041(CaPaEBR)ebr11405474(CaONFJC)MIL1017727(EXLCZ)99371000000141857220170726h20172017 uy 0engurcnu||||||||rdacontentrdamediardacarrierFractional-order control systems fundamentals and numerical implementations /Dingyü XueBerlin, [Germany] ;Boston, [Massachusetts] :De Gruyter,2017.©20171 online resource (372 pages) color illustrationsFractional Calculus in Applied Sciences and Engineering,2509-7210 ;Volume 13-11-049999-1 Includes bibliographical references and index.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 -- IndexThis 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 Automatic controlMathematical modelsAutomatic controlMathematical models.629.8Xue Dingyü633746MiAaPQMiAaPQMiAaPQBOOK9910809263603321Fractional-order control systems3919950UNINA