COMPUTER ENGINEERING (ENGLISH, THESIS) | |||||
Master | TR-NQF-HE: Level 7 | QF-EHEA: Second Cycle | EQF-LLL: Level 7 |
Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
MCH5001 | Linear System Theory | Fall Spring |
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 : | Dr. Öğr. Üyesi MUSTAFA EREN YILDIRIM |
Course Objectives: | To provide advanced system theoretic concepts with emphasis on linear systems. |
The students who have succeeded in this course; Students will be able - to define a dynamical system as a mathematical object - to comprehend linearity and time-invariance - to relate time- and frequency-domain representations of linear time-invariant (LTI) systems - to determine response of LTI systems to specific inputs - to understand the concept of controllability and to relate it to such problems as setting up the initial conditions, eigenvalue placement by state feedback, stabilization by optimal feedback control - to understand the concept of observability and to relate it to such problems as calculation of the initial conditions and observer design |
Dynamical system representation. State-space representation of continuous-time (CT) systems: Solution of CT state equations, impulse response, convolution integral. State-space representation of discrete-time (DT) systems: solution of DT state equations, pulse response, convolution sum. Modes of unforced solutions. Transfer function. Controllability and state feedback. Observability and observer design. Dynamic output feedback |
Week | Subject | Related Preparation | |
1) | Dynamical system representation. Concept of state. Causality. | ||
2) | Finite state, finite dimensional and infinite dimensional systems. Lineariy and time-invariance. | ||
3) | State space representation of continuous-time (CT) linear systems. State transition matrix. | ||
4) | State-space representation of CT linear, time-invariant (LTI) systems. Impulse response and transfer function matrices. | ||
5) | Modes of CT LTI systems. Modal decomposition of solutions. | ||
6) | Discrete-time (DT) LTI systems. | ||
7) | Sampled-data systems. | ||
8) | Review and midterm exam | ||
9) | Controllability of LTI systems. Setting up the initial conditions. | ||
10) | Observability of LTI systems. Calculation of the initial state. | ||
11) | Canonical decomposition. Separation of controllable and unobservable subspaces. | ||
12) | Eigenvalue assignment by state-feedback. | ||
13) | Observer design. | ||
14) | Pole placement by dynamic output feedback. |
Course Notes: | - W.L. Brogan, Modern Control Theory, Prentice Hall |
References: | - C-T. Chen, Linear System Theory and Design, HRW |
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 | Duration (Hours) | Workload |
Course Hours | 14 | 3 | 42 |
Laboratory | 0 | 0 | 0 |
Application | 0 | 0 | 0 |
Special Course Internship (Work Placement) | 0 | 0 | 0 |
Field Work | 0 | 0 | 0 |
Study Hours Out of Class | 15 | 9 | 135 |
Presentations / Seminar | 0 | 0 | 0 |
Project | 0 | 0 | 0 |
Homework Assignments | 5 | 5 | 25 |
Quizzes | 0 | 0 | 0 |
Preliminary Jury | 0 | ||
Midterms | 1 | 3 | 3 |
Paper Submission | 0 | ||
Jury | 0 | ||
Final | 1 | 3 | 3 |
Total Workload | 208 |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Define and manipulate advanced concepts of Computer Engineering | |
2) | Use math, science, and modern engineering tools to formulate and solve advenced engineering problems | |
3) | Notice, detect, formulate and solve new engineering problems. | |
4) | Review the literature critically pertaining to his/her research projects, and connect the earlier literature to his/her own results | |
5) | Follow, interpret and analyze scientific researches in the field of engineering and use the knowledge in his/her field of study | |
6) | Work effectively in multi-disciplinary research teams | |
7) | Acquire scientific knowledge | |
8) | Find out new methods to improve his/her knowledge. | |
9) | Effectively express his/her research ideas and findings both orally and in writing | |
10) | Defend research outcomes at seminars and conferences. | |
11) | Prepare master thesis and articles about thesis subject clearly on the basis of published documents, thesis, etc. | |
12) | Demonstrate professional and ethical responsibility. | |
13) | Develop awareness for new professional applications and ability to interpret them. |