13M051DIF - Distributed and Fractional Order Control Systems

Course specification
Course title Distributed and Fractional Order Control Systems
Acronym 13M051DIF
Study programme Electrical Engineering and Computing
Type of study master academic studies
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
    ESPB 6.0 Status elective
    Condition non
    The goal Modeling of distributed systems. electric line with distributed parameters, mass and heat transfer, electromagnetism. Numerical methods of solving PDE: method of finite differences and elements. Fractional order models of distributed systems. Fractional order system analysis and fractional order control system design. Realization of fractional order control systems.
    The outcome Students are trained to perform an adequate analysis of distributed and fractional order systems. They are also trained to realize fractional order process control, taking into account the inherent limitations of the performances of the process.
    URL to the subject page
    Contents of lectures Basic concepts and definitions. Distributed and fractional order systems (DFOS). Modeling of DFOS. Simulation of DFOS. The stability of FOS. Discretization of FOS. Analog and digital implementation of fractional order control system. Application of software tools for designing DFOC. Fractional order PID controller.
    Contents of exercises Simulation analysis of DFOC. Fractional order controller (FOC) and closed-loop systems with FOC. Optimization of FOC. Comparison with standard industry controllers.
    1. Tomislav Šekara, Fractional transforms and their applications in control systems and electrical circuits, University of Belgrade, Faculty of Electrical Engineering, Ph.D. dissertation 2006.
    2. Tomislav Šekara, Distributed and fractional order control systems, Lecture Notes.
    3. Tomislav Šekara, Fractional Order Control System (in Serbian), E. Sarajevo 2011.
    4. Control and Optimization of Distributed Parameters Systems -- Electrical Engineering Course, University of California, Berkeley. (Original title)
    5. 1. K. B. Oldham and J. Spanier, The Fractional Calculus. New York and London, 1974. 2. I. Petraš, I. Podlubny, P. O'Leary, L. Dorčak and B.M. Vinagre, Analogue realization of fractional order controllers, Fakulta BERG, TU Košice, 2002. 3. Graham C. Goodwin, Stefan F. Graebe, Mario E. Salgado, “Control System Design” Prentice Hall 2000. (Original title)
    Number of hours per week during the semester/trimester/year
    Lectures Exercises OTC Study and Research Other classes
    3 1
    Methods of teaching Lectures, simulations with the use of MATLAB, Simulink and Maple programs, home works and project. 45 hours of lectures + 15 hours of supervised laboratory classes.
    Knowledge score (maximum points 100)
    Pre obligations Points Final exam Points
    Activites during lectures 5 Test paper 0
    Practical lessons 15 Oral examination 40
    Projects 40
    Colloquia 0
    Seminars 0