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Information
| Code | CEN418 |
| Name | Introduction to Optimal Control |
| Term | 2023-2024 Academic Year |
| Semester | 8. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. RAMAZAN ÇOBAN |
| Course Instructor |
Prof. Dr. RAMAZAN ÇOBAN
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To teach all the students to design the optimal control systems in continous time and discrete time domains and to design control systems according to the predetermined performance specifications.
Course Content
Introduction. Calculus of Variations and Optimal Control. Linear Quadratic Optimal Control Systems. Discrete-Time Optimal Control Systems. Pontryagin Minimum Principle. Constrained Optimal Control Systems.
Course Precondition
Yok
Resources
OPTIMAL CONTROL SYSTEMS, Desineni Subbaram Naidu, CRC Press, 2002.
Notes
OPTIMAL CONTROL SYSTEMS, Desineni Subbaram Naidu, CRC Press, 2002.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | The students can design the Linear Quadratic Optimal Control Systems. |
| LO02 | The students can design the Discrete-Time Optimal Control Systems |
| LO03 | The students can comprehend the Pontryagin Minimum Principle |
| LO04 | State variable representation of systems |
| LO05 | Control Performance measure |
| LO06 | Optimal control Principles |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has capability in the fields of mathematics, science and computer that form the foundations of engineering | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Identifies, formulates, and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques, | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Analyzes a system, its component, or process and designs under realistic constraints to meet the desired requirements,gains the ability to apply the methods of modern design accordingly. | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Ability to use modern techniques and tools necessary for engineering practice and information technologies effectively. | 5 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Ability to design and to conduct experiments, to collect data, to analyze and to interpret results | 4 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Has ability to work effectively as an individual and in multi-disciplinary teams, take sresponsibility and builds self-confidence | 2 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Can access information,gains the ability to do resource research and uses information resources | 4 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Awareness of the requirement of lifelong learning, to follow developments in science and technology and continuous self-renewal ability | 4 |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Ability to communicate effectively orally and in writing, and to read and understand technical publications in at least one foreign language | 1 |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Professional and ethical responsibility, | 5 |
| PLO11 | Yetkinlikler - Öğrenme Yetkinliği | Awareness about project management, workplace practices, employee health, environmental and occupational safety, and the legal implications of engineering applications, | 2 |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Becomes aware of universal and social effects of engineering solutions and applications, entrepreneurship and innovation, and knowledge of contemporary issues | 1 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Calculus of Variations and Optimal Control | Lecture, Question-Answer, Homeworks | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 2 | Mathematical Calculus of Variations and Optimal Control | Lecture, Question-Answer, Homeworks | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 3 | Linear Quadratic Optimal Control Systems | Lecture, Question-Answer, Homeworks | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 4 | Analysis of Linear Quadratic Optimal Control Systems | Lecture, Question-Answer, Homeworks | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 5 | Discrete-Time Optimal Control Systems | Lecture, Question-Answer, Homeworks | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 6 | Analysis of Discrete-Time Optimal Control Systems | Lecture, Question-Answer, Homeworks | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 7 | Pontryagin Minimum Principle | Questions | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 8 | Mid-Term Exam | Reading material related to subject and lecture notes. | Ölçme Yöntemleri: Yazılı Sınav, Ödev, Proje / Tasarım |
| 9 | Analysis of Pontryagin Minimum Principle | Lecture, Question-Answer, Homeworks | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 10 | Pontryagin Minimum Principle in optimal Control | Lecture, Question-Answer, Homeworks | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 11 | Constrained Optimal Control Systems | Lecture, Question-Answer, Homeworks | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 12 | Analysis of Constrained Optimal Control Systems | Lecture, Question-Answer, Homeworks | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 13 | Mathematical Analysis of Constrained Optimal Control Systems | Lecture, Question-Answer, Homeworks | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 14 | review | Lecture, Question-Answer, Homeworks | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 15 | solving problems | Questions | Öğretim Yöntemleri: Soru-Cevap |
| 16 | Term Exams | Reading material related to subject and lecture notes. | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Reading material related to subject and lecture notes. | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 157 | ||
| Total Workload / 25 (h) | 6,28 | ||
| ECTS | 6 ECTS | ||