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
General
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