Fractional-Order Control Systems

Fundamentals and Numerical Implementations

• Author(s): Dingyü Xue,
• Publisher: Walter de Gruyter GmbH & Co KG
• Pages: 388
• ISBN_10: 3110497190
  ISBN_13: 9783110497199
  
• Language: en
• Categories: Mathematics / Calculus , Mathematics / Differential Equations / General , Technology & Engineering / Automation , Mathematics / General , Mathematics / Applied , Technology & Engineering / Manufacturing , Technology & Engineering / Electronics / General ,

Description:...

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