Buch, Englisch, Band 1, 372 Seiten, HC runder Rücken kaschiert, Format (B × H): 175 mm x 246 mm, Gewicht: 835 g
Reihe: ISSN
Fundamentals and Numerical Implementations
Buch, Englisch, Band 1, 372 Seiten, HC runder Rücken kaschiert, Format (B × H): 175 mm x 246 mm, Gewicht: 835 g
Reihe: ISSN
ISBN: 978-3-11-049999-5
Verlag: De Gruyter
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
Zielgruppe
Engineers and applied mathematicians.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Regelungstechnik
