MSc in Electrical Engineering
Course Information Package
|Course Unit Title||OPTIMAL CONTROL SYSTEMS|
|Course Unit Code||AEEE544|
|Course Unit Details||MSc Electrical Engineering (Technical Electives) -|
|Number of ECTS credits allocated||7|
|Learning Outcomes of the course unit||By the end of the course, the students should be able to:|
|Mode of Delivery||Face-to-face|
|Recommended optional program components||NONE|
Optimisation in Classical Control: Review of optimization in classical control.
Introduction: Problem formulation; State variable representation of the system.
The performance measure: Definition; Selection, Examples.
Dynamic Programming: The optimal control law; The principle of optimality; Decision making using the principle of optimality; Routing problem; Optimal control systems; Interpolation; Recurrence relation of dynamic programming; characteristics of dynamic programming solution; The Hamilton-Jacobi-Bellman equation; Continuous linear regulator problem.
The calculus of variations: Fundamentals; The fundamental theorem of calculus of variations; Functionals of single function; Functionals involving several independent functions; Piecewise smooth extremals; Constrained extremas.
The variational approach to optimal control problems: Necessary conditions; Linear regulator problems; Pontryagin’s minimum principle; Minimum time problems; Minimum control effort problems.
|Recommended and/or required reading:|
|Planned learning activities and teaching methods|
Students are taught the course through lectures (3 hours per week) in classrooms or lectures theatres, by means of traditional tools or using computer demonstration.
Auditory exercises, where examples regarding matter represented at the lectures, are solved and further, questions related to particular open-ended topic issues are compiled by the students and answered, during the lecture or assigned as homework.
Topic notes are compiled by students, during the lecture which serve to cover the main issues under consideration and can also be downloaded from the lecturer’s webpage. Students are also advised to use the subject’s textbook or reference books for further reading and practice in solving related exercises. Tutorial problems are also submitted as homework and these are solved during lectures or privately during lecturer’s office hours. Further literature search is encouraged by assigning students to identify a specific problem related to some issue, gather relevant scientific information about how others have addressed the problem and report this information in written or orally.
Students are assessed continuously and their knowledge is checked through tests with their assessment weight, date and time being set at the beginning of the semester via the course outline.
Students are prepared for final exam, by revision on the matter taught, problem solving and concept testing and are also trained to be able to deal with time constraints and revision timetable.
The final assessment of the students is formative and summative and is assured to comply with the subject’s expected learning outcomes and the quality of the course.
|Assessment methods and criteria|
|Language of instruction||English|