BAHÇEŞEHİR UNIVERSITY BİLGİ PAKETİ / DERS KATALOĞU
| MECHATRONICS ENGINEERING (ENGLISH, NONTHESIS) | |||||
| Master | TR-NQF-HE: Level 7 | QF-EHEA: Second Cycle | EQF-LLL: Level 7 | ||
Course Introduction and Application Information
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| MCH5001 | Linear System Theory | Spring | 3 | 0 | 3 | 8 |
| This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester. |
Basic information
| Language of instruction: | English |
| Type of course: | Departmental Elective |
| Course Level: | |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Assist. Prof. MUSTAFA EREN YILDIRIM |
| Recommended Optional Program Components: | None |
| Course Objectives: | To provide advanced system theoretic concepts with emphasis on linear systems. |
Learning Outcomes
|
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 |
Course Content
| 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 |
Weekly Detailed Course Contents
| 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. |
Sources
| Course Notes / Textbooks: | - W.L. Brogan, Modern Control Theory, Prentice Hall |
| References: | - C-T. Chen, Linear System Theory and Design, HRW |
Evaluation System
| Semester Requirements | Number of Activities | Level of Contribution |
| Homework Assignments | 5 | % 25 |
| Midterms | 1 | % 25 |
| Final | 1 | % 50 |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 50 | |
| PERCENTAGE OF FINAL WORK | % 50 | |
| Total | % 100 | |
ECTS / Workload Table
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Study Hours Out of Class | 15 | 9 | 135 |
| Homework Assignments | 5 | 5 | 25 |
| Midterms | 1 | 3 | 3 |
| Final | 1 | 3 | 3 |
| Total Workload | 208 | ||
Contribution of Learning Outcomes to Programme Outcomes
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |