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Record Nr. |
UNINA9910795932803321 |
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Autore |
Xue Dingyü |
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Titolo |
Fractional-order control systems : fundamentals and numerical implementations / / Dingyü Xue |
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Pubbl/distr/stampa |
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Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 |
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©2017 |
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ISBN |
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3-11-049719-0 |
3-11-049797-2 |
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Descrizione fisica |
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1 online resource (372 pages) : color illustrations |
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Collana |
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Fractional Calculus in Applied Sciences and Engineering, , 2509-7210 ; ; Volume 1 |
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Disciplina |
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Soggetti |
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Automatic control - Mathematical models |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Frontmatter -- Foreword -- Preface -- Contents -- 1. Introduction to fractional calculus and fractional-order control -- 2. Mathematical prerequisites -- 3. Definitions and computation algorithms of fractional-order derivatives and integrals -- 4. Solutions of linear fractional-order differential equations -- 5. Approximation of fractional-order operators -- 6. Modelling and analysis of multivariable fractional-order transfer function matrices -- 7. State space modelling and analysis of linear fractional-order systems -- 8. Numerical solutions of nonlinear fractional-order differential equations -- 9. Design of fractional-order PID controllers -- 10. Frequency domain controller design for multivariable fractional-order systems -- A. Inverse Laplace transforms involving fractional and irrational operations -- B. FOTF Toolbox functions and models -- C. Benchmark problems for the assessment of fractional-order differential equation algorithms -- Bibliography -- Index |
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Sommario/riassunto |
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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 |
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