PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
ELK 558	LINEAR SYSTEM THEORY	3 + 0	1st Semester	7,5

COURSE DESCRIPTION

Course Level	Master's Degree
Course Type	Compulsory
Course Objective	To provide graduate students knowledge about analysis of linear systems, state feedback, and state estimator in state-space.
Course Content	Mathematical models of linear systems / Matrix algebra / State space / Stability / Controllability and observability / State feedback and state estimation
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	Knows the fundamental concepts of linear systems
2	Can analyze a linear system in state space
3	Can design a controller in state space
4	Can design an observer in state space

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10	PO 11
LO 001	2	5	4	4	4
LO 002	2	5	4	4	4
LO 003	2	4	5	5	5
LO 004	2	4	5	5	5
Sub Total	8	18	18	18	18
Contribution	2	5	5	5	5	0	0	0	0	0	0

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	3	42
Hours for off-the-classroom study (Pre-study, practice)	14	4	56
Mid-terms	1	32	32
Final examination	1	65	65
Total Work Load ECTS Credit of the Course			195 7,5

COURSE DETAILS

Select Year

	Course Term	No	Instructors
Details	2023-2024 Fall	1	MEHMET DOĞAN ELBİ

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
ELK 558	LINEAR SYSTEM THEORY	3 + 0	1	Turkish	2023-2024 Fall

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Asts. Prof. Dr. MEHMET DOĞAN ELBİ	melbi@pau.edu.tr		MUH A0497	%70

Goals		To provide graduate students knowledge about analysis of linear systems, state feedback, and state estimator in state-space.
Content		Mathematical models of linear systems / Matrix algebra / State space / Stability / Controllability and observability / State feedback and state estimation

Topics

Weeks	Topics
1	Mathematical background: Linear Algebra
2	Mathematical background: Linear Algebra
3	Mathematical representation of systems: State space representation
4	Mathematical representation of systems: Linearization
5	Solving linear state equations: zero-input response, zero-state response
6	Solving linear state equations: State transition matrix
7	System Realization: Controllable canonical form, Observable canonical form, Jordan canonical form
8	Stability: Internal stability (zero-input stability), input-output stability (zero-state stability)
9	Stability: Internal stability (zero-input stability), input-output stability (zero-state stability)
10	Stability: Lyapunov stability criteria
11	System Controllability, Reachability, Observability, Detectability, Constructability, Stabilizability concepts
12	System decomposition: Unobservable/Observable, Uncontrollable/Controllable
13	Identification of system zeros and poles according to system controllability and observability criteria
14	State feedback, controller and observer design

Materials

Materials are not specified.

Resources

Resources	Resources Language
Linear System Theory and Design, Chi-Tsong Chen (3rd. ed.)	English
Linear Systems, Panos J. Antsaklis and Anthony N. Michel	English
Linear Systems, Wilson J. Rugh	English
Modern Control Theory, William L. Brogan	English

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	50	Final Exam
Midterm Exam	50	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student