Fractional-order Control Systems: Fundamentals and Numerical Implementations

Xue, Dingyu

ISBN 10: 3110499991 / ISBN 13: 9783110499995

Published by De Gruyter, 2017

About this Item

330 pages. 9.45x6.69x1.30 inches. In Stock.

Seller Inventory # x-3110499991

Bibliographic Details

• Title: Fractional-order Control Systems: Fundamentals and Numerical Implementations
• Publisher: De Gruyter
• Publication Date: 2017
• Language: English
• ISBN 10: 3110499991
• ISBN 13: 9783110499995
• Binding: Hardcover
• Condition: Brand New

About this title

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

About the Author

Dingyu Xue, Northeastern University China, China