Dersin Bilgileri

Dersin Adı	Türkçe	Optimal Kontrol Teorisi
	İngilizce	Optimal Control Theory
Dersin Kodu	KOM 510E	Kredi	Ders (saat/hafta)	Uygulama (saat/hafta)	Labratuvar (saat/hafta)
Dönem	2	3	3	-	-
Dersin Dili		İngilizce
Dersin Koordinatörü		İbrahim Eksin Erhan Yumuk
Dersin Amaçları		1. To provide basic concepts related to optimal control and its position in optimization 2. To teach the calculus of extrema and parameter optimization by the method of Lagrange multipliers 3. To teach the Optimality Principle and Dynamic Programming 4. To teach variational calculus and Pontragin’s minimum principle 5. To provide a solution approach for the Hamilton Jacobi-Bellman equation. 6. To provide the solution for Linear Optimal Control Problem (The Matrix Riccati Equation).
Dersin Tanımı		Definition of optimization. Calculus of extrema and parameter optimization by the method of Lagrange multipliers. Performance measures. Optimality Principle and Dynamic Programming. Variational calculus and Pontragin’s minimum principle. Dynamic optimization in control systems for different terminal conditions. Hamilton Jacobi-Bellman equation. Linear Optimal Control Problem solution (The matrix Riccati equation). Optimization of discrete control systems. Numerical solution methods in optimal control problem.
Dersin Çıktıları		M.Sc./Ph.D. students who successfully pass this course gain knowledge, skill and competency in the following subjects; I. The basic concepts related to optimal control and its position in optimization II. The parameter optimization method in optimal control III. Optimality Principle and Dynamic Programming IV. The variational calculus and Pontragin’s minimum principle V. The Hamilton Jacobi-Bellman approach VI. Linear Optimal Control Problem (The Matrix Riccati Equation)
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Diğer
Ders Kitabı		1. D. E. Kirk, Optimal Control Theory, Prentice Hall, 1970 2. B. D. O. Anderson, J.B Moore, Optimal Control, Prentice Hall, 1990. 3. J. B. Burl, Linear Optimal Control, Addison-Wesley, 1999. 4. D. G. Schultz, J. L. Melsa, State Functions and Linear Control Systems, Mc Graw Hill, 1967. 5. D. S. Naidu, Optimal Control Systems, CRC Press, 2003.
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