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Course detail
Fundamentals of Optimal Control Theory
Course unit code:  FSISOR  

Academic year:  2016/2017  
Type of course unit:  compulsory  
Level of course unit:  Master's (2nd cycle)  
Year of study:  2  
Semester:  winter  
Number of ECTS credits:  4  



























Type of course unit:
Lecture:  26 hours, optionally 

Teacher / Lecturer:  doc. RNDr. Jan Čermák, CSc. 
Syllabus:  1. The scheme of variational problems and basic task of optimal control theory. 2. Maximum principle. 3. Timeoptimal control of an uniform motion. 4. Timeoptimal control of a simple harmonic motion. 5. Basic results on optimal controls. 6. Variational problems with moving boundaries. 7. Optimal control of systems with a variable mass. 8. Optimal control of systems with a variable mass (continuation). 9. Singular control. 10. Energyoptimal control problems. 11. Variational problems with state constraints. 12. Variational problems with state constraints (continuation). 13. Solving of given problems. 
seminars:  13 hours, compulsory 
Teacher / Lecturer:  doc. RNDr. Jan Čermák, CSc. 
Syllabus:  1. The general scheme of variational problems demonstrated by examples. 2. The basic task of optimal control theory demonstrated by examples. 3. Timeoptimal control of an uniform motion demonstrated by examples. 4. Timeoptimal control of a simple harmonic motion demonstrated by examples. 5. Linear timeoptimal control problems with fixed boundaries. 6. Linear timeoptimal control problems with moving boundaries. 7. Optimal control of systems with a variable mass demonstrated by examples. 8. Optimal control of systems with a variable mass demonstrated by examples (continuation). 9. Optimal control of systems with a variable mass demonstrated by examples (continuation). 10. Problem of an energy optimal control of a train. 11. Nonlinear programming problems in optimal control problems. 12. Variational problems with state constraints. 13. Variational problems with state constraints (continuation). 