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EEE 512 | Course Introduction and Application Information
| Course Name |
Optimal Control
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
EEE 512
|
Fall/Spring
|
3
|
0
|
3
|
7.5
|
| Prerequisites |
None
|
|||||
| Course Language |
English
|
|||||
| Course Type |
Elective
|
|||||
| Course Level |
Second Cycle
|
|||||
| Mode of Delivery | - | |||||
| Teaching Methods and Techniques of the Course | - | |||||
| National Occupation Classification | - | |||||
| Course Coordinator | ||||||
| Course Lecturer(s) | - | |||||
| Assistant(s) | - | |||||
| Course Objectives | The course aims the students: i) to get a solid mathematical background on derivations of optimality conditions for constrained and unconstrained static optimization problems with optimal control problems and ii) to gain skills on finding optimal solutions of a static cost function and a given performance index for a linear time-invariant dynamical system by analytical and numerical methods. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | Static optimization with and also without constraints. Optimality conditions. Lagrange multipliers. Karush-Kuhn-Tucker conditions. Steepest-descent and Newton methods. Calculus of variations. Optimal control of discrete time and continuous time systems. Linear quadratic regulator, steady state closed loop control and tracking control. Dynamic programming of both discrete time and continuous time systems. |
|
|
Core Courses |
X
|
| Major Area Courses | ||
| Supportive Courses | ||
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
| Week | Subjects | Related Preparation | Learning Outcome |
| 1 | Optimality conditions for single variable static optimization. | Frank L. Lewis, Vassilis Srimos, Optimal Control, Second edition, John Wiley & Sons, 1995 | |
| 2 | Optimality conditions for multi variable static optimization | Frank L. Lewis, Vassilis Srimos, Optimal Control, Second edition, John Wiley & Sons, 1995 | |
| 3 | Constrained optimization, Lagrange multipliers, Karush-Kuhn-Tucker conditions. | Frank L. Lewis, Vassilis Srimos, Optimal Control, Second edition, John Wiley & Sons, 1995 | |
| 4 | Numerical methods for static optimization. | Frank L. Lewis, Vassilis Srimos, Optimal Control, Second edition, John Wiley & Sons, 1995 | |
| 5 | Variational calculus. | Frank L. Lewis, Vassilis Srimos, Optimal Control, Second edition, John Wiley & Sons, 1995 | |
| 6 | Optimality conditions for optimal control problems defined as the minimization of a performance index under the given system’s state equations constraints. | Frank L. Lewis, Vassilis Srimos, Optimal Control, Second edition, John Wiley & Sons, 1995 | |
| 7 | Solutions of free initial state, fixed initial state, free final state and fixed final state problems. | Frank L. Lewis, Vassilis Srimos, Optimal Control, Second edition, John Wiley & Sons, 1995 | |
| 8 | Optimal control problems, minimum time and minimum fuel problems. | Frank L. Lewis, Vassilis Srimos, Optimal Control, Second edition, John Wiley & Sons, 1995 | |
| 9 | 1. Midterm | ||
| 10 | Linear quadratic regulator problem. | Frank L. Lewis, Vassilis Srimos, Optimal Control, Second edition, John Wiley & Sons, 1995 | |
| 11 | Solving Riccati equation, Kalman gain. | Frank L. Lewis, Vassilis Srimos, Optimal Control, Second edition, John Wiley & Sons, 1995 | |
| 12 | Tracking problem for linear time-invariant systems. | Frank L. Lewis, Vassilis Srimos, Optimal Control, Second edition, John Wiley & Sons, 1995 | |
| 13 | 2. Midterm | ||
| 14 | Steady-state closed-loop control problem for linear time-invariant systems. | Frank L. Lewis, Vassilis Srimos, Optimal Control, Second edition, John Wiley & Sons, 1995 | |
| 15 | Dynamical programming. | Frank L. Lewis, Vassilis Srimos, Optimal Control, Second edition, John Wiley & Sons, 1995 | |
| 16 | Review of the Semester |
| Course Notes/Textbooks | The textbook referenced above and lecture notes |
| Suggested Readings/Materials | Related Books |
EVALUATION SYSTEM
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application |
6
|
60
|
| Field Work | ||
| Quizzes / Studio Critiques | ||
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury | ||
| Project |
2
|
40
|
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm | ||
| Final Exam | ||
| Total |
| Weighting of Semester Activities on the Final Grade |
8
|
100
|
| Weighting of End-of-Semester Activities on the Final Grade | ||
| Total |
ECTS / WORKLOAD TABLE
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
3
|
48
|
| Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
2
|
32
|
| Study Hours Out of Class |
15
|
4
|
60
|
| Field Work |
0
|
||
| Quizzes / Studio Critiques |
0
|
||
| Portfolio |
0
|
||
| Homework / Assignments |
0
|
||
| Presentation / Jury |
0
|
||
| Project |
2
|
42
|
84
|
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
0
|
||
| Final Exam |
0
|
||
| Total |
224
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
|
#
|
PC Sub | Program Competencies/Outcomes |
* Contribution Level
|
||||
|
1
|
2
|
3
|
4
|
5
|
|||
| 1 |
Accesses information in breadth and depth by conducting scientific research in Electrical and Electronics Engineering, evaluates, interprets and applies information. |
-
|
-
|
-
|
-
|
X
|
|
| 2 |
Is well-informed about contemporary techniques and methods used in Electrical and Electronics Engineering and their limitations. |
-
|
-
|
X
|
-
|
-
|
|
| 3 |
Uses scientific methods to complete and apply information from uncertain, limited or incomplete data, can combine and use information from different disciplines. |
-
|
X
|
-
|
-
|
-
|
|
| 4 |
Is informed about new and upcoming applications in the field and learns them whenever necessary. |
-
|
-
|
X
|
-
|
-
|
|
| 5 |
Defines and formulates problems related to Electrical and Electronics Engineering, develops methods to solve them and uses progressive methods in solutions. |
-
|
-
|
-
|
-
|
X
|
|
| 6 |
Develops novel and/or original methods, designs complex systems or processes and develops progressive/alternative solutions in designs. |
-
|
-
|
-
|
X
|
-
|
|
| 7 |
Designs and implements studies based on theory, experiments and modelling, analyses and resolves the complex problems that arise in this process. |
-
|
-
|
-
|
X
|
-
|
|
| 8 |
Can work effectively in interdisciplinary teams as well as teams of the same discipline, can lead such teams and can develop approaches for resolving complex situations, can work independently and takes responsibility. |
-
|
X
|
-
|
-
|
-
|
|
| 9 |
Engages in written and oral communication at least in Level B2 of the European Language Portfolio Global Scale. |
-
|
-
|
X
|
-
|
-
|
|
| 10 |
Communicates the process and the results of his/her studies in national and international venues systematically, clearly and in written or oral form. |
X
|
-
|
-
|
-
|
-
|
|
| 11 |
Is knowledgeable about the social, environmental, health, security and law implications of Electrical and Electronics engineering applications, knows their project management and business applications, and is aware of their limitations in Electrical and Electronics engineering applications. |
-
|
-
|
X
|
-
|
-
|
|
| 12 |
Highly regards scientific and ethical values in data collection, interpretation, communication and in every professional activity. |
-
|
-
|
X
|
-
|
-
|
|
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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