Fractional-Order Control Systems: Fundamentals and Numerical Implementations

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