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About 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. 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 Provides high-precision numerical implementattions of fractional calculus aspects. Explores the applications of multivariable fractional-order control systems. Addresses every technical point with dedicated MATLAB solutions and illustrations.
Detailed Information
| Author: | Dingyü Xue |
|---|---|
| Publication Year: | 2017 |
| ISBN: | 9783110499995 |
| Language: | English |
| File Size: | 31.586 |
| Format: | |
| Price: | FREE |
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