Fractional-order control systems : fundamentals and numerical implementations

• Main Author: Xue, Dingyü.
• Format: eBook
• Language: English
• Published: Berlin/Boston : De Gruyter, 2017.
• Series: Fractional calculus in applied sciences and engineering.
• Subjects: zlomkový počet; řídicí systémy; fractional calculus; control systems; elektronické knihy; monografie; electronic books; monographs
• ISBN: 9783110497199; 9783110497977; 9783110499995
• Physical Description: 1 online zdroj (388 stran)
• Access: Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty

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. ContentsIntroduction to fractional calculus and fractional-order controlMathematical prerequisitesDefinitions and computation algorithms of fractional-order derivatives and IntegralsSolutions of linear fractional-order differential equationsApproximation of fractional-order operatorsModelling and analysis of multivariable fractional-order transfer function MatricesState space modelling and analysis of linear fractional-order SystemsNumerical solutions of nonlinear fractional-order differential EquationsDesign of fractional-order PID controllersFrequency domain controller design for multivariable fractional-order SystemsInverse Laplace transforms involving fractional and irrational OperationsFOTF Toolbox functions and modelsBenchmark problems for the assessment of fractional-order differential equation algorithms.- Resumé vydavatel