| Course Type | Elective Course |
|---|
| Course Level | Master's Degree With Thesis |
|---|
| Year of Study | - |
|---|
| Semester | - |
|---|
| ECTS | 10 |
|---|
| Name of Lecturer(s) |
- |
| Learning Outcomes |
At the end of this course, the students;
- Will be able to model multivariable control systems.
- Learn and apply state space design methods.
- Learn and apply frequency domain design methods.
- Will be able to implement optimal design for multivariable control systems.
- Gain problem solving skills for multivariable control system problems.
- Will be able to utilize the related software for multivariable control systems.
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | No |
|---|
| Recommended Optional Programme Components | None |
|---|
| Course Description | Multivariable system representations: SSD, TMD, MFD, PMD. Controllability and observability. Kalman decomposition. Polynomial matrices: irreducible MFD, gcrd, gcld. Wolovich structure theorem. State feedback. State observer. Decoupling. Smith-McMillan form. Multivariable poles and zeros. Internal stability. Optimal control. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
State space representation, Kalman decomposition |
|
2nd Week |
SSD design, observers, decoupling |
|
3rd Week |
MFD representation, realization |
|
4th Week |
Design in MFD |
|
5th Week |
PMD representation, Smith-McMillan format |
|
6th Week |
PMD: poles/zeros, closed loop stability |
|
7th Week |
Interior stability, Linear fractional transformation (LFT) |
|
8th Week |
Midterm Exam |
|
9th Week |
Dual coprime factorization |
|
10th Week |
Alternative realizations |
|
11th Week |
Optimal control, static optimal control, Dynamic optimal control |
|
12th Week |
LQR design |
|
13th Week |
Closed loop poles |
|
14th Week |
Frequency domain equations |
|
| Recommended or Required Reading | 1. Uraz, A., "Linear System Theory", Lecture Notes, 2003
2. Chen, C.T. "Linear System Theory and Design", Third Ed., Oxford, 1998
|
|---|
| Planned Learning Activities and Teaching Methods |
- Lecture
- Questions/Answers
- Presentation
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
35 |
| Assignment |
1 |
5 |
| Attendance |
1 |
5 |
| Other |
1 |
10 |
| Total(%) |
|
55 |
| Contribution of In-term Studies to Overall Grade(%) |
|
55 |
| Contribution of Final Examination to Overall Grade(%) |
|
45 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
3 |
3 |
| Preparation for Quiz |
0 |
0 |
0 |
| Individual or group work |
14 |
8 |
112 |
| Preparation for Final exam |
1 |
40 |
40 |
| Course hours |
14 |
3 |
42 |
| Preparation for Midterm exam |
1 |
30 |
30 |
| Laboratory (including preparation) |
0 |
0 |
0 |
| Final exam |
1 |
3 |
3 |
| Homework |
2 |
35 |
70 |
| Total Work Load | 300 |
| Total Work Load / 30 (h) | 10 |
| ECTS Credit of the Course | 10 |
|
| Language of Instruction | Turkish |
|---|
| Work Placement(s) | No |
|---|
