Fractional Order Systems and Applications in Engineering

Fractional Order Systems and Applications in Engineering presents the use of fractional calculus (calculus of non-integer order) in the description and modelling of systems and in a range of control design and practical applications. The book covers the fundamentals of fractional calculus together with some analytical and numerical techniques, and provides MATLAB® codes for the simulation of fractional-order control (FOC) systems. The use of fractional calculus can improve and generalize well-established control methods and strategies. Many different FOC schemes are presented for control and dynamic systems problems. These extend to the challenging control engineering design problems of robust and nonlinear control. Practical material relating to a wide variety of applications including, among others, mechatronics, civil engineering, irrigation and water management, and biological systems is also provided. All the control schemes and applications are presented with either system simulation results or real experimental results, or both. Fractional Order Systems and Applications in Engineering introduces readers to the essentials of FOC and imbues them with a basic understanding of FOC concepts and methods. With this knowledge readers can extend their use of FOC in other industrial system applications, thereby expanding their range of disciplines by exploiting this versatile new set of control techniques. Provides the most recent and up-to-date developments on the Fractional-order Systems and their analyzing processIntegrates recent advancements of modeling of real phenomena (on Fractional-order Systems) via different-different mathematical equations with demonstrated applications in numerous seemingly diverse and widespread fields of science and engineeringProvides readers with illustrative examples of how to use the presented theories of Fractional-order Systems in specific cases with associated MATLAB code INDICE: 1. Fractional calculus approaches in circuits systems and electric drives 2. Variable order derivatives in control systems 3. Computational methods for the fractional PDEs in physics and engineering 4. General fractional derivatives involving the special functions in signal analysis 5. Fractional derivatives with respect to another function in signal analysis 6. General variable order derivatives in epidemiology and biomathematics 7. New fractional order operators in real-world applications 8. Experimental study of nonlinear systems 9. Extreme multistability 10. Complex networks 11. Fractional order dynamical systems 12. Hidden attractors in complex systems 13. Networks of nonlinear oscillators (like neurons) 14. New methods of control and synchronization nonlinear systems 15. Information theory 16. Nonlinear dynamics and chaos in engineering applications 17. Nonlinear systems with an infinite number of equilibrium points 18. Nonlinear systems with a stable equilibrium 19. Nonlinear systems without equilibrium 20. Novel computation algorithms for studying nonlinear systems 21. Oscillations and chaos in dynamic economic models 22. Quantum chaos 23. Related engineering applications 24. Self-excited attractors

• ISBN: 978-0-323-90953-2
• Editorial: Academic Press
• Encuadernacion: Rústica
• Páginas: 232
• Fecha Publicación: 01/08/2021
• Nº Volúmenes: 1
• Idioma: Inglés