Fractional-Order Control Systems: Fundamentals and Numerical Implementations (Fractional Calculus in Applied Sciences and Engineering): 1 - Hardcover

Xue, Dingyü

Hardcover

ISBN 10: 3110499991 ISBN 13: 9783110499995

Publisher: De Gruyter, 2017

Synopsis

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

About this title

About the Author

Dingyu Xue, Northeastern University China, China

Edition details

• Publisher: De Gruyter
• Publication date: 2017
• Language: English
• ISBN 10: 3110499991
• ISBN 13: 9783110499995
• Binding: Hardcover
• Edition number: 1
• Number of pages: 388