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Information
| Code | CEN418 |
| Name | Introduction to Optimal Control |
| Term | 2024-2025 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 |
1 2 |
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 | Adequate knowledge of mathematics, science and related engineering disciplines; ability to use theoretical and applied knowledge in these fields in solving complex engineering problems. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Ability to identify, formulate and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose. | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice; ability to use information technologies effectively. | 5 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics. | 4 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Ability to work effectively in interdisciplinary and multidisciplinary teams; individual working skills. | 2 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Ability to communicate effectively verbally and in writing; knowledge of at least one foreign language; ability to write effective reports and understand written reports, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | 4 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Awareness of the necessity of lifelong learning; ability to access information, follow developments in science and technology, and constantly renew oneself. | 4 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Knowledge of ethical principles, professional and ethical responsibility, and standards used in engineering practice. | 1 |
| PLO10 | Bilgi - Kuramsal, Olgusal | Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; knowledge of sustainable development. | 5 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Knowledge of the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering; awareness of the legal consequences of engineering solutions. | 2 |
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 | ||