Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
2EEE554OPTIMAL CONTROL THEORY3+0+03618.05.2026

 
Course Details
Language of Instruction English
Level of Course Unit Master's Degree
Department / Program ELECTRICAL AND ELECTRONICS ENGINEERING
Type of Program Formal Education
Type of Course Unit Elective
Course Delivery Method Face To Face
Objectives of the Course The aim of the course is to provide postgradute students with the knowledge and skills of optimal control systems, their design and applications.
Course Content Introduction to Optimal Control Theory. Introduction to the Calculus of Variations, Main Differences Between Optimal Control Theory and Calculus of Variations, Pontryagin's Maximum Principle, Its Proof and Examples, Formation of the Optimal Regulator with Riccati's Equation for the Linear Systems with Quadratic Object Functional, The Synthesis Problem and Closed Optimal Loop, Lagrange Principle, Its Proof and Examples, Bellman's Dynamical Programming Method, Controllable Systems, Their Analytic Characteristics and Kalman's Theorem.
Course Methods and Techniques Lectures and HW assignments
Prerequisites and co-requisities None
Course Coordinator Prof.Dr. Tolgay Kara
Name of Lecturers Associate Prof.Dr. TOLGAY KARA
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources D. E. Kirk, Optimal Control Theory, Dover, 2004.
Course Notes Provided at the lectures.

Course Category
Engineering %60
Engineering Design %40

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Mid-terms 2 % 50
Final examination 1 % 50
Total
3
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Weekly lecture hours 14 3 42
Weekly practical lecture hours 14 5 70
Reading Activities 4 8 32
Material design, application 2 8 16
Midterm and midterm exam preparation 1 10 10
Total Work Load   Number of ECTS Credits 6 170

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Being able to solve optimal control problems
2 Being able to desing linear quadratic regulators
3 Understanding basic concepts and applications of optimal control systems

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Introduction to the course
2 Optimal control problem (definition and applications)
3 Principle of optimality and dynamic programming
4 Principle of optimality and dynamic programming II
5 Calculus of variations
6 Pontryagin’s Maximum Principle
7 Linear Quadratic Regulators
8 LQR and LQG design
9 Algebraic Riccati Equation
10 Euler-Lagrange equation, Lagrangian principle
11 Constrained Optimal Control Systems
12 Controllable Systems and optimality
13 Practical Issues in Optimal Control
14 Concluding Remarks

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4
All 5 5
C1 5
C2 5
C3 5

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  https://obs.gantep.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=147976&lang=en