Details
Fractional-Order Control Systems
Fundamentals and Numerical ImplementationsISSN, Band 1 1. Aufl.
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144,95 € |
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| Verlag: | De Gruyter |
| Format: | EPUB |
| Veröffentl.: | 10.07.2017 |
| ISBN/EAN: | 9783110497199 |
| Sprache: | englisch |
| Anzahl Seiten: | 388 |
DRM-geschütztes eBook, Sie benötigen z.B. Adobe Digital Editions und eine Adobe ID zum Lesen.
Beschreibungen
<p>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. </p>
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<p><strong>Contents<br></strong>Introduction to fractional calculus and fractional-order control<br>Mathematical prerequisites<br>Definitions and computation algorithms of fractional-order derivatives and Integrals<br>Solutions of linear fractional-order differential equations<br>Approximation of fractional-order operators<br>Modelling and analysis of multivariable fractional-order transfer function Matrices<br>State space modelling and analysis of linear fractional-order Systems<br>Numerical solutions of nonlinear fractional-order differential Equations<br>Design of fractional-order PID controllers<br>Frequency domain controller design for multivariable fractional-order Systems<br>Inverse Laplace transforms involving fractional and irrational Operations<br>FOTF Toolbox functions and models<br>Benchmark problems for the assessment of fractional-order differential equation algorithms </p>
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<p><strong>Contents<br></strong>Introduction to fractional calculus and fractional-order control<br>Mathematical prerequisites<br>Definitions and computation algorithms of fractional-order derivatives and Integrals<br>Solutions of linear fractional-order differential equations<br>Approximation of fractional-order operators<br>Modelling and analysis of multivariable fractional-order transfer function Matrices<br>State space modelling and analysis of linear fractional-order Systems<br>Numerical solutions of nonlinear fractional-order differential Equations<br>Design of fractional-order PID controllers<br>Frequency domain controller design for multivariable fractional-order Systems<br>Inverse Laplace transforms involving fractional and irrational Operations<br>FOTF Toolbox functions and models<br>Benchmark problems for the assessment of fractional-order differential equation algorithms </p>
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<p>"Overall, the book will be useful for the one interested in the theoretical and numerical tools to design control systems."<br><em>Krishnan Balachandran in: Zentralblatt MATH 1406.33001</em> </p>
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<p>"Overall, the book will be useful for the one interested in the theoretical and numerical tools to design control systems."<br><em>Krishnan Balachandran in: Zentralblatt MATH 1406.33001</em> </p>
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<p><strong>Dingyu Xue</strong>, Northeastern University China, China </p>
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