Fractional-order control systems [online] : Fundamentals and numerical implementations / Dingyü Xue

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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