Home  »  Institute of Science »  Master's of Mechanical Engineering with Thesis

COURSE UNIT TITLECOURSE UNIT CODESEMESTERTHEORY + PRACTICE (Hour)ECTS
OPTIMAL CONTROL THEORY MAK513 - 3 + 0 10

TYPE OF COURSE UNITElective Course
LEVEL OF COURSE UNITMaster's Degree With Thesis
YEAR OF STUDY-
SEMESTER-
NUMBER OF ECTS CREDITS ALLOCATED10
NAME OF LECTURER(S)Assistant Professor Andaç Töre Şamiloğlu
LEARNING OUTCOMES OF THE COURSE UNIT 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
PRE-REQUISITES OF THE COURSENo
RECOMMENDED OPTIONAL PROGRAMME COMPONENTNone
COURSE DEFINITIONDescription 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
WEEKTOPICS
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.
RECOMENDED OR REQUIRED READINGGlobal Methods in Optimal Control Theory, Krotov, Vadim F., Marcel Dekker, Inc., Newyork
PLANNED LEARNING ACTIVITIES AND TEACHING METHODSQuestions/Answers,Lecture,Problem Solving,Practice
ASSESSMENT METHODS AND CRITERIA
 QuantityPercentage(%)
Mid-term135
Assignment415
Project15
Total(%)55
Contribution of In-term Studies to Overall Grade(%)55
Contribution of Final Examination to Overall Grade(%)45
Total(%)100
ECTS WORKLOAD
Activities Number Hours Workload
Midterm exam133
Preparation for Quiz
Individual or group work14456
Preparation for Final exam14040
Course hours14342
Preparation for Midterm exam12525
Laboratory (including preparation)
Final exam133
Homework41560
Presentation (including preperation)122
Project17070
Total Workload301
Total Workload / 3010,03
ECTS Credits of the Course10
LANGUAGE OF INSTRUCTIONTurkish
WORK PLACEMENT(S)No
  

KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)
LO1LO2LO3LO4
K1  X   X   X  
K2    X   X  
K3       
K4       
K5  X      
K6        X
K7       
K8       
K9       
K10       
K11    X   X