| MATHEMATICS (TURKISH, PHD) | |||||
| PhD | TR-NQF-HE: Level 8 | QF-EHEA: Third Cycle | EQF-LLL: Level 8 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| EEE6322 | Optical Control Theory | Fall | 3 | 0 | 3 | 8 |
| The course opens with the approval of the Department at the beginning of each semester |
| Language of instruction: | En |
| Type of course: | Departmental Elective |
| Course Level: | |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Prof. Dr. ŞEREF KALEM |
| Course Objectives: | This course provides an introduction to the fundamental concepts of optimal control of dynamical systems and to the theory of solution methods |
|
The students who have succeeded in this course; 1. Understand the significance of the cost function in the formulation of an optimal control problem 2. Comprehend the principle of optimality and its use in dynamic programming 3. Be able to apply iterative techniques to solving optimal control problems 4. Be able to apply theory to special problems such as linear quadratic regulation. |
| Formulation of optimal control problems: Objective function and dynamic constraints. Principle of optimality and dynamic programming. Calculus of variations and the minimum principle. Linear optimal state-feedback regulator, steady state solution. Linear optimal observer, steady-state properties. Optimal linear output feedback |
| Week | Subject | Related Preparation | |
| 1) | Formulation of optimal control problems, dynamic constraints, cost function | ||
| 2) | Principle of optimality, discrete-time dynamic programming | ||
| 3) | Continuous-time dynamic programming, Hamilton-Jacobi-Bellman equation | ||
| 4) | Calculus of variations | ||
| 5) | Variational approach to optimal control. Pontryagin's minimum principle. | ||
| 6) | Examples of optimal control problems, minimum-time and minimum-control-effort problems | ||
| 7) | Midterm and discussion | ||
| 8) | Linear optimal regulator problem, the Riccati equation. | ||
| 9) | Steady-state solution of linear optimal regulator problem, time-invariant regulator | ||
| 10) | Discrete-time linear optimal control | ||
| 11) | Linear systems with stochastic inputs. | ||
| 12) | Optimal construction of the state, linear optimal observer. | ||
| 13) | Optimal linear output feedback control, the separation principle | ||
| 14) | Robustness of linear optimal control | ||
| Course Notes: | 1. D.E. Kirk, Optimal Control Theory, Prentice-Hall |
| References: | 1. H. Kwakernaak and R. Sivan, Linear Optimal Control Systems, Wiley |
| Semester Requirements | Number of Activities | Level of Contribution |
| Attendance | % 0 | |
| Laboratory | % 0 | |
| Application | % 0 | |
| Field Work | % 0 | |
| Special Course Internship (Work Placement) | % 0 | |
| Quizzes | % 0 | |
| Homework Assignments | 5 | % 25 |
| Presentation | % 0 | |
| Project | % 0 | |
| Seminar | % 0 | |
| Midterms | 1 | % 25 |
| Preliminary Jury | % 0 | |
| Final | 1 | % 50 |
| Paper Submission | % 0 | |
| Jury | % 0 | |
| Bütünleme | % 0 | |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 50 | |
| PERCENTAGE OF FINAL WORK | % 50 | |
| Total | % 100 | |
| Activities | Number of Activities | Workload | |
| Course Hours | 14 | 42 | |
| Laboratory | |||
| Application | |||
| Special Course Internship (Work Placement) | |||
| Field Work | |||
| Study Hours Out of Class | 15 | 135 | |
| Presentations / Seminar | |||
| Project | |||
| Homework Assignments | 5 | 25 | |
| Quizzes | |||
| Preliminary Jury | |||
| Midterms | 1 | 3 | |
| Paper Submission | |||
| Jury | |||
| Final | 1 | 3 | |
| Total Workload | 208 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |