ATILIM UNIVERSITY
INSTITUTE OF NATURAL AND APPLIED SCIENCES
DEPARTMENT OF ELECTRICAL & ELECTRONICS ENGINEERING
COURSE DESCRIPTION AND PRACTICE
Course Name
Code
Term
Lecture
Hours
Application
Hours
Lab
Hours
Credits
ECTS
Linear Systems
Theory
EE503
Both
3
0
0
3
7.5
Pre-requisite
Courses
Language of the
Course
Course Type
Course Level
Course Coordinator
Course Instructor(s)
Course Assistants
Mode of Delivery
Learning and
Teaching Strategies
Course Objectives
Learning Outcomes
of the Course
Content of the
Course
A prior differential equations, signals and systems and/or a basic control
systems course is strongly recommended.
English
M.Sc Program Elective Course
Graduate Program
Reşat Özgür Doruk
Reşat Özgür Doruk
-Face-to-Face
Lecture, Discussion, Question and Answer, Drill and
Practice, Computer Applications
Teaching of advanced concepts in linear system theory to aid the
graduate students mastering in signal processing, dynamical systems
theory and control.
Ability to:
1. Explain the general system concepts
2. Distinguish linear and nonlinear systems
3. Describe different linear system representations
4. Model and analyze the systems represented in state space form.
5. Design state feedback controllers
6. Design state observers
7. Deal with the difficulties observed in controller and observer
designs.
8. Learn new topics in system theory based on the material
covered in this course in their possible future studies
Review of linear algebra concepts, linear system representations, existence
of solutions, state transition matrices, canonical realizations, controller
designs, observer designs, introduction to multi input multi output
systems.
WEEKLY SCHEDULE AND PRE-STUDY PAGES
Week Topics
Review of Linear Algebra Concepts: Linear
1
Spaces, Basis Vectors, Linear Transformations
Linear system representations: Frequency
2
domain, transfer functions and state space.
Pre-study Pages
Glance this week’s topics from the lecture
Review last week and Glance this week’s
topics from the lecture
3
4
5
6
7
Transformations between frequency domain
and state space.
Linear Operators: Range and Null Spaces,
Eigenvalues, Eigenvectors, Cayley-Hamilton
theorems
Canonical Forms: Diagonal and Jordan
Canonical forms. Various cases.
Solution of linear dynamical systems
equations. State Transition Matrix concept.
Methods of derivation and computation of
state transition matrices.
Connections to nonlinear systems,
linearization, equilibrium concepts.
Review last week and Glance this week’s
topics from the lecture
Review last week and Glance this week’s
topics from the lecture
Review last week and Glance this week’s
topics from the lecture
Review last week and Glance this week’s
topics from the lecture
Review last week and Glance this week’s
topics from the lecture
8
MIDTERM EXAM-I
Review all topics up to the current week
9
Stability: Stability definitions, local stability,
global stability, asymptotic stability, stability
in the sense of Lyapunov, stability analysis of
systems in frequency domain or state space.
Review last week and Glance this week’s
topics from the lecture
10
Controllability and Observability
14
Pole Placement State Feedback
15
Introduction to Multi-Input and MultipleOutput (MIMO) systems
Review last week and Glance this week’s
topics from the lecture
Review last week and Glance this week’s
topics from the lecture
Review last week and Glance this week’s
topics from the lecture
Review last week and Glance this week’s
topics from the lecture
Review last week and Glance this week’s
topics from the lecture
Review last week and Glance this week’s
topics from the lecture
16
MIDTERM EXAM-II
Review all topics
11
12
13
Controllable and Observable Canonical
Forms. Controller and Observer Designs
Issues associated with Controllability and
Observability
Minimal Realizations and Kalman
Decomposition
SOURCES
Course Books
1. CALLIER, Frank M.; DESOER, C. A. Linear System Theory (Springer Texts in
Electrical Engineering). 1991.
2. ANTSAKLIS, Panos J.; MICHEL, Anthony N. Linear systems. Boston, MA:
Birkhäuser, 2006.
3. PANOS J. ANTSAKLIS; ANTHONY N. MICHEL. A Linear Systems Primer. Springer,
2007.
EVALUATION SYSTEM
Requirements
Midterm Exam
Assignments
Final Exam
TOTAL
QUANTITY
2
6
1
PERCENTAGE
50
15
35
100
CONTRIBUTION OF SEMESTER WORK
CONTRIBUTION OF FINAL WORK
TOTAL
65
35
100
Course Category
Core Courses
Major Area Courses
X
Supportive Courses
Media and Management Skills Courses
The Relation Between Course Learning Competencies and Program Qualifications
Level of
Contribution
No Program Qualifications / Competencies
1 2 3 4
Ability to achieve to extended and in depth information by research and
1
to evaluate, comment on and apply this information.
Extensive knowledge on recent engineering techniques, methods and
2
X
their limitations.
Ability to complete information using uncertain, limited or incomplete
3
data by scientific methods. Ability to use information together from
X
different disciplines.
Being aware of the new and emerging applications of the profession,
4
X
ability to examine and learn them when needed.
Ability to define and formulate problems of the related area, develop
5
methods to solve them and apply innovative methods in the solution.
Knowledge on develop new and/or original ideas and methods; design
6
complex systems or processes, and suggest innovative/alternative
X
solutions for design.
Knowledge on designing and implementing theoretical, experimental
7
and modeling based research. Ability to analyze and to solve the
X
problems encountered in the process.
Ability to work effectively in disciplinary and multi-disciplinary teams, to
8
lead such teams and to develop solutions to complex situations. Can
X
work independently and take responsibility.
At least one foreign language in the European Language Portfolio Level
9
X
B2, oral and written communication.
Ability to present the results of their work in the field or outside the
10 field of national and international media systematically and clearly in
X
written or oral form.
Knowledge on the social, environmental, health, safety and legal aspects
11 of engineering applications, project management and business life, and
X
aware of their constraints imposed on engineering applications.
Oversees the social, scientific and ethical values in data collection,
12
X
interpretation and dissemination stages and in all professional activities.
5
X
X
ECTS/Workload Table
14
Duration
(Hours)
3
Total
Workload
42
16
6
5
15
80
90
2
1
2
3
4
3
219
7.3
7.5
Activities
Number
Course Duration
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class
Homework Assignments
Projects
Presentation/Seminar Preperation
Quizzes/Studio Critics
Midterm
Final Examination
Total Work Load
Total Work Load / 30
ECTS Credit of the Course
Prepared by Ozgur DORUK (Sept 09 2015)