Department of Electrical and Electronics Engineering

ACADEMICS

Course Details

ELE755 - Linear Optimal Control

2025-2026 Fall term information

The course is open this term

Supervisor(s)
Name Surname	Position	Section
Şölen Kumbay Yıldız	Supervisor	1

Weekly Schedule by Sections
Section	Day, Hours, Place
All sections	Wednesday, 13:40 - 16:30, E9

Timing data are obtained using weekly schedule program tables. To make sure whether the course is cancelled or time-shifted for a specific week one should consult the supervisor and/or follow the announcements.

ELE755 - Linear Optimal Control

Program	Theoretıcal hours	Practical hours	Local credit	ECTS credit
PhD	3	0	3	10

Obligation	:	Elective
Prerequisite courses	:	-
Concurrent courses	:	-
Delivery modes	:	Face-to-face
Learning and teaching strategies	:	Lecture. Discussion. Question and Answer.
Course objective	:
Learning outcomes	:
Course content	:
References	:

Course Outline Weekly
Weeks	Topics
1	A brief review of basic concepts: State-space model, transfer function, poles and zeros, modes, stability, similarity transformations, controllability and observability, norms, calculus of variations, Lagrange multipliers method.
2	Linear quadratic regulator (LQR): Cost function, Hamiltonian system, matrix Riccati equation, control law
3	Steady-state LQR: Algebraic Riccati equation, closed-loop system
4	Stochastic regulator, H2 optimal control
5	Linear minimum mean squares estimation, principle of orthogonality
6	Kalman Filter: Predictor form, observer form, estimation error, Hamiltonian system
7	Kalman Filter: Steady-state Kalman Filter, H2 optimal estimation, duality, Kalman Filter poles
8	Midterm Exam
9	Linear quadratic Gaussian control (LQG): Derivation of the control law, transient response, reference following and disturbance rejection analyses
10	Linear quadratic Gaussian control (LQG): Steady-state, closed-loop poles, Lyapunov equation, reference following, disturbance rejection
11
12
13
14
15	Final exam
16	Final exam

Assessment Methods
Course activities	Number	Percentage
Attendance	0	0
Laboratory	0	0
Application	0	0
Field activities	0	0
Specific practical training	0	0
Assignments	6	40
Presentation	0	0
Project	0	0
Seminar	0	0
Quiz	0	0
Midterms	1	20
Final exam	1	40
Total		100
Percentage of semester activities contributing grade success		60
Percentage of final exam contributing grade success		40
Total		100

Workload and ECTS Calculation
Course activities	Number	Duration (hours)	Total workload
Course Duration	13	3	39
Laboratory	0	0	0
Application	0	0	0
Specific practical training	0	0	0
Field activities	0	0	0
Study Hours Out of Class (Preliminary work, reinforcement, etc.)	14	5	70
Presentation / Seminar Preparation	0	0	0
Project	0	0	0
Homework assignment	0	0	0
Quiz	6	20	120
Midterms (Study duration)	1	25	25
Final Exam (Study duration)	1	35	35
Total workload	35	88	289

Matrix Of The Course Learning Outcomes Versus Program Outcomes
Key learning outcomes		Contribution level
Key learning outcomes		1	2	3	4	5
1.	Has highest level of knowledge in certain areas of Electrical and Electronics Engineering.
2.	Has knowledge, skills and and competence to develop novel approaches in science and technology.
3.	Follows the scientific literature, and the developments in his/her field, critically analyze, synthesize, interpret and apply them effectively in his/her research.
4.	Can independently carry out all stages of a novel research project.
5.	Designs, plans and manages novel research projects; can lead multidisiplinary projects.
6.	Contributes to the science and technology literature.
7.	Can present his/her ideas and works in written and oral forms effectively; in Turkish or English.
8.	Is aware of his/her social responsibilities, evaluates scientific and technological developments with impartiality and ethical responsibility and disseminates them.

1: Lowest, 2: Low, 3: Average, 4: High, 5: Highest

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