Information Package

Master's of Mechanical Engineering with Thesis

MAK513

OPTIMAL CONTROL THEORY

Course Code
MAK513
Semester
-
Theory+Practice
3 + 0
ECTS
10
Course TypeElective Course
Course LevelMaster's Degree With Thesis
Year of Study-
Semester-
ECTS10
Name of Lecturer(s)
Learning Outcomes

At the end of this course, the students;

  1. An ability to apply knowledge of mathematics, science, and engineering
  2. An ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability
  3. An ability to identify, formulate, and solve engineering problems
  4. An understanding of professional and ethical responsibility
Mode of DeliveryFace to face
PrerequisitesNo
Recommended Optional Programme ComponentsNone
Course DescriptionDescription of optimization, Calculation of extremes and parameter optimization, Lagrange multipliers. Manner criteria, Dynamic programming, Calculation of variations calculation and Pontryagin's minimum principle, Dynamic optimization in the face of equivalence and inequality, Hamilton-Jacobi-Bellmann equation, Matrice Riccati equation, optimization of discrete time control systems, Numerical solution methods of optimal control problems.
Course Contents
WEEK TOPICS
1st Week Description of optimization
2nd Week Calculation of extremes and parameter optimization
3rd Week Lagrange multipliers
4th Week Manner criteria, Dynamic programing
5th Week Calculation of variations and Pontryagin's minimum principle
6th Week Dynamic optimization in the face of equivalence and inequality
7th Week Hamilton-Jacobi-Bellmann equation
8th Week MID TERM
9th Week Matrice Riccati equation
10th Week Matrice Riccati equation
11th Week Optimization of discrete time control systems
12th Week Optimization of discrete time control systems
13th Week Numerical solution methods of optimal control problems
14th Week Numerical solution methods of optimal control problems.
Recommended or Required ReadingGlobal Methods in Optimal Control Theory, Krotov, Vadim F., Marcel Dekker, Inc., Newyork
Planned Learning Activities and Teaching Methods
  • Questions/Answers
  • Lecture
  • Problem Solving
  • Practice
Assessment Methods and Criteria
Quantity Percentage (%)
Mid-term 1 35
Assignment 4 15
Project 1 5
Total(%) 55
Contribution of In-term Studies to Overall Grade(%) 55
Contribution of Final Examination to Overall Grade(%) 45
Total(%) 100
ECTS Allocated Based on Student Workload
Activities Quantity Duration (Hour) Total Workload (Hour)
Midterm exam 1 3 3
Preparation for Quiz
Individual or group work 14 4 56
Preparation for Final exam 1 40 40
Course hours 14 3 42
Preparation for Midterm exam 1 25 25
Laboratory (including preparation)
Final exam 1 3 3
Homework 4 15 60
Presentation (including preperation) 1 2 2
Project 1 70 70
Total Work Load301
Total Work Load / 30 (h)10.03
ECTS Credit of the Course10
Language of InstructionTurkish
Work Placement(s)No
LO1 LO2 LO3 LO4
K1 X X X
K2 X X
K3
K4
K5 X
K6 X
K7
K8
K9
K10
K11 X X