MECHATRONICS ENGINEERING (ENGLISH, NON-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 | 3 | 0 | 3 | 6 |
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) | Gains an academic background and abilities for making scientific research; analysis, interpretation and application of knowledge in subjects of Mechatronics Engineering. | |
2) | Acquires an ability to select, apply and develop modern techniques and methods for mechatronics engineering applications. | |
3) | Develops new and innovative ideas, procedures and solutions in the design of mechatronics systems, components and processes. | |
4) | Gains an ability for experimental design, data accumulation, data analysis, reporting and implementation. | |
5) | Acquires abilities for individual and team-work, communication and collaboration with team members and interdisciplinary cooperation. | |
6) | Gains an ability to communicate effectively oral and written; and a knowledge of English sufficient to follow technical developments and terminology. | |
7) | Acquires recognition of the need for, and an ability to access and report knowledge, to engage in life-long learning. | |
8) | Gains an understanding of universal, social and professional ethics. | |
9) | Acquires a knowledge of business-oriented project organization and management; awareness of entrepreneurship, innovation and sustainable development | |
10) | Gains awareness for the impact of mechatronics engineering applications on human health, environmental, security and legal issues in a global and social context. |