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13M051OUS - Optimal Control Systems

Course specification
Course title Optimal Control Systems
Acronym 13M051OUS
Study programme Electrical Engineering and Computing
Module Applied Mathematics, Audio and Video Communications, Audio and Video Technologies, Biomedical and Environmental Engineering, Biomedical and Nuclear Engineering, Computer Engineering and Informatics, Electronics, Electronics and Digital Systems, Energy Efficiency, Information and Communication Technologies, Microwave Engineering, Nanoelectronics and Photonics, Power Systems - Networks and Systems, Power Systems - Renewable Energy Sources, Power Systems - Substations and Power Equipment, Signals and Systems, Software Engineering, System Engineering and Radio Communications
Type of study master academic studies
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
    ESPB 6.0 Status elective
    Condition none
    The goal The objective of the course is to demonstrate the basic methods of optimal system control. A significant part of the course will be dedicated to the techniques for designing the optimization criterion, the areas of application of such optimization techniques, and the awareness of the importance of optimality as an omnipresent code of conduct in the biological and social environment.
    The outcome Ability to formulate criteria for the optimal behavior of the control system without constraints, as well as in the presence of linear and nonlinear constraints, followed by the selection and design of appropriate optimal control strategies for a wide class of continuous and discrete systems, in accordance with their representation and the desired performances.
    Contents
    URL to the subject page https://automatika.etf.bg.ac.rs/sr/13m051ous
    URL to lectures https://teams.microsoft.com/l/team/19%3Aun7-AmcjqZ9HnT3ksgKtd6ZrmQVKDDsa42JlFqUvqpI1%40thread.tacv2/conversations?groupId=73093f9f-5319-4183-8875-cb87c5bfedf7&tenantId=1774ef2e-9c62-478a-8d3a-fd2a495547ba
    Contents of lectures Application of optimization methods with and without constraints in problems optimal control problems. Mathematical programming and numerical solving of optimization problems in presence of constraints (linear, quadratic and nonlinear programming). Calculus of variations in optimal control. Pontryagin's maximum principle. Dynamic programming and LQR. Introduction to stochastic optimal control.
    Contents of exercises Formulation and solution of optimization problems. Introduction to the possibilities of solving optimization tasks within the MATLAB program package. Solving optimal control problems for specific (non)linear systems using symbolic and/or numerical methods within the MATLAB program package.
    Literature
    1. E. Kirk, Optimal control theory: an introduction, Courier Corporation, 2004. (Original title)
    2. L. Evans, An Introduction to Mathematical Optimal Control Theory, University of California, Berkley, 2005 (Original title)
    3. B. Anderson, J. Moore, Linear Optimal Control, Prentice Hall, 1971. (Original title)
    4. D. Tabak, B. Kuo, Optimal control by mathematical programming, Prentice Hall, 1971 (Original title)
    5. D. Bertsekas, Dynamic Programming and Optimal Control, Belmont, MA: Athena scientific, 2017. (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 (45) and auditory exercises (15)
    Knowledge score (maximum points 100)
    Pre obligations Points Final exam Points
    Activites during lectures 0 Test paper 70
    Practical lessons 30 Oral examination 0
    Projects
    Colloquia 0
    Seminars 0