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Course Description |
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Course Name |
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Optimal Control Theory |
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Course Code |
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EE-640 |
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Course Type |
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Optional |
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Level of Course |
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Second Cycle |
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Year of Study |
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1 |
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Course Semester |
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Spring (16 Weeks) |
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ECTS |
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6 |
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Name of Lecturer(s) |
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Assoc.Prof.Dr. İLYAS EKER |
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Learning Outcomes of the Course |
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Knows Classical design approach Knows Optimal design concept Knows Optimal cost index Knows Cost index minimization and optimal controllers Knows Control performance
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Mode of Delivery |
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Face-to-Face |
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Prerequisites and Co-Prerequisites |
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None |
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Recommended Optional Programme Components |
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None |
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Aim(s) of Course |
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To introduce optimal control and design of optimal controllers to improve input/output control performans of dynamical systems |
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Course Contents |
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Introduction to optimization problems and concepts of system performance. Important tools such as calculus of variations. Pontryagain´s maximum principle and dynamic programming. Discussion and comparison of numerical techniques. |
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Language of Instruction |
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English |
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Work Place |
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Clasrooms of Electrical and Electronic Engineering Department (Base level) |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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1 |
Concept and introduction |
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Lecture |
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2 |
Classical control |
Review of the previous information |
Lecture |
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3 |
Concept of Optimal control |
Review of the previous information |
Lecture |
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4 |
Concept of cost index for optimization |
Review of the previous information |
Lecture |
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5 |
Variables for Cost index generation |
Review of the previous information |
Lecture |
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6 |
Cost index in time, frequency domains, digital cost function |
Review of the previous information |
Lecture |
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7 |
Cost index minimization |
Review of the previous information |
Lecture |
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8 |
Mid-term examination |
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Written examination |
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9 |
Derivation of optimal control input |
Review of the previous information |
Lecture |
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10 |
Optimal state feedback control (LQ) |
Review of the previous information |
Lecture |
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11 |
Kalman Filters |
Review of the previous information |
Lecture |
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12 |
Optimal Minimum variance control |
Review of the previous information |
Lecture |
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13 |
Optimal generalized Minimum variance control |
Review of the previous information |
Lecture |
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14 |
Frequency domain LQG optimal control |
Review of the previous information |
Lecture |
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15 |
Frequency domain H-infinity optimal control |
Review of the previous information |
Lecture |
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16/17 |
Final Examination |
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Written examimation |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
Grimble, M.J. and Johnson, M.A., 1988, Optimal Control and Stochastic Estimation- Theory and Applications Vol.I-II, John Wiley and Sons Ltd., ISBN: 0 471 90593 3 V.1, ISBN: 0 471 90593 4 V.2,
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| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
80 |
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Homeworks/Projects/Others |
7 |
20 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
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Final Assessments
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100 |
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Rate of Final Assessments to Success
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60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
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1 |
Communicates with people in an appropriate language and style. |
1 |
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2 |
Specializes by furthering his knowledge level at least in one of the basic subfields of electiral-electronic engineering. |
3 |
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3 |
Grasps the integrity formed by the topics involved in the field of specialization. |
3 |
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4 |
Grasps and follows the existing literature in the field of specialization. |
3 |
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5 |
Comprehends the interdisciplinary interaction of his field with other fields. |
3 |
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6 |
Has the aptitude to pursue theoretical and experimental work. |
3 |
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7 |
Forms a scientific text by compiling the knowledge obtained from research. |
3 |
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8 |
Works in a programmed manner within the framework set by the advisor on the thesis topic, in accordance with the logical integrity required by this topic. |
3 |
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9 |
Performs a literature search in scientific databases; in particular, to scan the databases in an appropriate manner, to list and categorize the listed items. |
4 |
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10 |
Has English capability at a level adequate to read and understand a scientific text in his field of specialization, written in English. |
3 |
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11 |
Compiles his/her knowledge in his/her field of specialization. in a presentation format, and presents in a clear and effective way. |
4 |
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12 |
Writes a computer code aimed at a specific purpose, in general, and related with his/her field of specialization, in particular |
1 |
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13 |
Pursues research ın new topics based on his/her existing research experıence. |
3 |
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14 |
Gives guidance in environments where problems related with his/her field need to be solved, and takes initiative. |
3 |
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15 |
Develops and evaluates projects, policies and processes in his field of specialization. |
3 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
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Class Time (Exam weeks are excluded) |
14 |
3 |
42 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
3 |
42 |
| Assesment Related Works |
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Homeworks, Projects, Others |
7 |
7 |
49 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
5 |
5 |
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Final Exam |
1 |
5 |
5 |
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Total Workload: | 143 |
| Total Workload / 25 (h): | 5.72 |
| ECTS Credit: | 6 |
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