ME507 APPLIED OPTIMAL CONTROL
| Course Code: | 5690507 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mechanical Engineering |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Assist.Prof.Dr HAKAN ÇALIŞKAN |
| Offered Semester: | Fall and Spring Semesters. |
Course Objectives
At the end of this course, the student will be able to
- gain the basics of the optimal control, both in open loop and closed loop manner,
- emphasize on the theory as well as on real life engineering applications,
- make the physical interpretation of optimal control applications.
Course Content
Parameter optimization. Performance measures. Variational approach to open loop optimal control, Pontryagin's minimum principle. Optimal feedback control, dynamic programming, linear systems with quadratic performance indices, matrix Riccati equation. Numerical solution techniques of optimal control problems.
Course Learning Outcomes
By the end of this course students will be able to:
- know, interpret, and apply the concept of optimality with the following dimensions:
- measures of optimality
- performance indices
- optimality in dynamic systems
- know, find, and interpret and solution of parameter optimization problems with the following dimensions
- problems without constraints
- problems with equality constraints
- Lagrange multipliers
- necessary conditions for a stationary point
- sufficient conditions for a local minimum
- problems with inequality constraints.
- know and apply variational approach to the solution of open loop optimal control problems with the following components:
- calculus of variations, functionals, extremals
- necessary conditions for optimal control
- optimal control as a two-point boundary value problem
- equality constraints on controls and states
- Pontryagin's minimum principle, inequality constraints on controls and states
- minimum time problems
- minimum control effort problems
- singular optimal control
- know and use methods in the solution of optimal feedback control problems with the following components:
- Hamilton-Jacobi theory
- dynamic programming, Hamilton-Jacobi-Bellman equation
- linear systems with quadratic performance indices, matrix Ricatti equation
- regulators and stability.
Program Outcomes Matrix
| Contribution | |||||
| # | Program Outcomes | No | Yes | ||
| 1 | Acquires the fundamental scientific knowledge required to analyze and solve advanced-level problems in the field of mechanical engineering. | ✔ | |||
| 2 | Gains the competence to utilize advanced engineering mathematics methods in the formulation, analysis, and solution of engineering problems. | ✔ | |||
| 3 | Conducts literature reviews using printed and online sources, analyzes the collected literature, and identifies the current state-of-the-art in the relevant scientific field. | ✔ | |||
| 4 | Demonstrates the ability to prepare and deliver a seminar on a technical subject. | ✔ | |||
| 5 | Develops the ability to conduct independent research on a specific topic and solve advanced engineering problems. | ✔ | |||
| 6 | Contributes to the national and/or international body of knowledge through original research. | ✔ | |||
| 7 | Gains the competence to effectively communicate the process and results of research conducted on a specific subject through scientifically structured written reports and oral presentations. | ✔ | |||
| 8 | Acquires the ability to publish research findings as articles in national and/or international scientific journals and/or present them as papers at conferences. | ✔ | |||
| 9 | Acts in accordance with universal principles of research and publication ethics. | ✔ | |||