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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