# Optimal Control Video Lectures

Optimal Control
'Optimal Control' Video Lectures by Prof. G.D. Ray from IIT Kharagpur
 "Optimal Control" - Video Lectures 1. Introduction to Optimization 2. Introduction to Optimization (Contd.) 3. Optimality Conditions for function of several variables 4. Optimality Conditions for function of several variables (Contd.) 5. Unconstrained optimization problem (Numerical Techniques) 6. Solution of unconstarined optimization problem using conjugate gradient method and Newton's Method 7. Solution of unconstarined optimization problem using conjugate gradient method and Newton's Method (Contd.) 8. Solution of contraint optimization problems - karush - kuhn Tucker (KKT) conditions 9. Solution of contraint optimization problems - karush - kuhn Tucker (KKT) conditions (Contd.) 10. Problem Solution Session 11. Post optimality analysis, convex function and its properties 12. Post optimality analysis, convex function and its properties (Contd.) 13. Quadratic optimization problem using Linear Programming 14. Matrix form of the Simplex Method 15. Matrix form of the Simplex Method (Contd.) 16. Solution of Linear Programming using Simplex Method - Algebraic Approach 17. Solution of Linear Programming using Simplex Method - Algebraic Approach (Contd.) 18. Solution of LP problems with Two - Phase Method 19. Solution of LP problems with Two - Phase Method (Contd.) 20. Standard Primal and Dual problems 21. Relationship between Primal and Dual Variables 22. Solution of Quadratic Programming problem using Simplex Method 23. Interior point method for solving optimization problems 24. Interior point method for solving optimization problems (Contd.) 25. Solution Non linear Programming Problem using Exterior Penalty Function Method 26. Solution Non linear Programming Problem using Exterior Penalty Function Method (Contd.) 27. Solution of Non - linear Programming Problems using interior penalty function method 28. Solution of Non - linear Programming Problems using interior penalty function method (Contd.) 29. Multi - variable optimization problem 30. Dynamic Optimization Problem : Basic Concepts & Necessary and Sufficient Conditions 31. Dynamic Optimization Problem : Basic Concepts & Necessary and Sufficient Conditions (Contd.) 32. Dynamic Optimization Problem : Basic Concepts & Necessary and Sufficient Conditions (Contd.) 33. Numerical Example and Solution of Optimal Control problem using Calculus of variation principle 34. Numerical Example and Solution of Optimal Control problem using Calculus of variation principle (Contd.) 35. Hamiltonian Formulation for Solution of optimal control problem and numerical example 36. Hamiltonian Formulation for Solution of optimal control problem and numerical example (Contd.) 37. Performance Indices and Linear Quadratic Regulator Problem 38. Performance Indices and Linear Quadratic Regulator Problem (Contd.) 39. Solution and stability analysis of finite - time LQR problem : Numerical Example 40. Solution of Infinite - time LQR problem and stability analysis 41. Numerical Example and Methods for Solution of A.R.E 42. Numerical Example and Methods for Solution of A.R.E (Contd.) 43. Frequency Domain Interpretation of LQR Controlled System 44. Gain and Phase Margin of LQR Controlled System 45. The Linear Quadratic Gaussian Problem 46. Loop Transfer Recovery 47. Dynamic Programming for Discrete Time System 48. Minimum - Time Control of a Linear Time Invariant System 49. Solution of Minimum - Time Control Problem with an Example 50. Constraint in Control Inputs and State Variables
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