Fractional-order Control Systems : Fundamentals and Numerical Implementations

Xue, Dingyu

ISBN 10: 3110499991 / ISBN 13: 9783110499995

Verlag: De Gruyter, 2017

Bestandsnummer des Verkäufers 29744287-n

Inhaltsangabe:

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

Über die Autorin bzw. den Autor:

Dingyu Xue, Northeastern University China, China

Bibliografische Details

Titel: Fractional-order Control Systems : ...
Verlag: De Gruyter
Erscheinungsdatum: 2017
Einband: Hardcover
Zustand: New