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Medientyp:
E-Book
Titel:
Fractional-Order Control Systems
:
Fundamentals and Numerical Implementations
Enthält:
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
Anmerkungen:
In English
Mode of access: Internet via World Wide Web
Beschreibung:
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