Fractional-order Control Systems: Fundamentals and Numerical Implementations - Couverture rigide

Xue, Dingyü

Couverture rigide

ISBN 10 : 3110499991 ISBN 13 : 9783110499995

Editeur : De Gruyter, 2017

Synopsis

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

A propos du livre

À propos de l?auteur

Dingyu Xue, Northeastern University China, China

Détails de l'édition

• Éditeur: De Gruyter
• Date d'édition: 2017
• Langue: anglais
• ISBN 10: 3110499991
• ISBN 13: 9783110499995
• Reliure: Relié
• Nombre de pages: 388
• Coordonnées du fabricant: productsafety@degruyterbrill.com; productsafety@degruyterbrill.com; ; Theaterstraße 13; Göttingen; 37073; Allemagne