Fractional-Order Control Systems
Autor: | Xue, Dingyü |
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EAN: | 9783110499995 |
Sachgruppe: | Mathematik |
Sprache: | Englisch |
Seitenzahl: | 388 |
Produktart: | Gebunden |
Veröffentlichungsdatum: | 10.07.2017 |
Untertitel: | Fundamentals and Numerical Implementations |
Schlagworte: | Differenzialgleichung Differenzialrechnung Gleichung / Differenzialgleichung Infinitesimalrechnung Mathematik / Höhere Mathematik |
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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. Contents Introduction to fractional calculus and fractional-order control Mathematical prerequisites Definitions and computation algorithms of fractional-order derivatives and Integrals Solutions of linear fractional-order differential equations Approximation of fractional-order operators Modelling and analysis of multivariable fractional-order transfer function Matrices State space modelling and analysis of linear fractional-order Systems Numerical solutions of nonlinear fractional-order differential Equations Design of fractional-order PID controllers Frequency domain controller design for multivariable fractional-order Systems Inverse Laplace transforms involving fractional and irrational Operations FOTF Toolbox functions and models Benchmark problems for the assessment of fractional-order differential equation algorithms