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
Dingyu Xue
Fractional-Order Control Systems [PDF ebook]
Fundamentals and Numerical Implementations
Fractional-Order Control Systems [PDF ebook]
Fundamentals and Numerical Implementations
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Limba Engleză ● Format PDF ● Pagini 388 ● ISBN 9783110497977 ● Editura De Gruyter ● Publicat 2017 ● Descărcabil 3 ori ● Valută EUR ● ID 6644950 ● Protecție împotriva copiilor Adobe DRM
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