Optimal Control

Optimal Control

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Mod-01 Lec-01 Introduction to Optimization

1 of 60

1 of 60

Mod-01 Lec-01 Introduction to Optimization

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Optimal Control

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  1. 1 Mod-01 Lec-01 Introduction to Optimization
  2. 2 Mod-01 Lec-02 Introduction to Optimization (Contd.)
  3. 3 Mod-01 Lec-03 Optimality Conditions for function of several variables
  4. 4 Mod-01 Lec-04 Optimality Conditions for function of several variables (Contd.)
  5. 5 Mod-01 Lec-05 Unconstrained optimization problem (Numerical Techniques)
  6. 6 Mod-01 Lec-06 Solution of unconstarined optimization problem using conjugate gradient method
  7. 7 Mod-01 Lec-07 Solution of unconstarined optimization problem using conjugate gradient method
  8. 8 Mod-01 Lec-08 Solution of contraint optimization problems - karush - kuhn Tucker (KKT) conditions
  9. 9 Mod-01 Lec-09 Solution of contraint optimization problems - karush - kuhn Tucker (KKT)
  10. 10 Mod-01 Lec-10 Problem Solution Session
  11. 11 Mod-01 Lec-11 Post optimality analysis, convex function and its properties
  12. 12 Mod-01 Lec-12 Post optimality analysis, convex function and its properties (Contd.)
  13. 13 Mod-01 Lec-13 Quadratic optimization problem using Linear Programming
  14. 14 Mod-01 Lec-14 Matrix form of the Simplex Method
  15. 15 Mod-01 Lec-15 Matrix form of the Simplex Method (Contd.)
  16. 16 Mod-01 Lec-16 Solution of Linear Programming using Simplex Method - Algebraic Approach
  17. 17 Mod-01 Lec-17 Solution of Linear Programming using Simplex Method - Algebraic Approach (Contd.)
  18. 18 Mod-01 Lec-18 Solution of LP problems with Two - Phase Method
  19. 19 Mod-01 Lec-19 Solution of LP problems with Two - Phase Method (Contd.)
  20. 20 Mod-01 Lec-20 Standard Primal and Dual problems
  21. 21 Mod-01 Lec-21 Relationship between Primal and Dual Variables
  22. 22 Mod-01 Lec-22 Solution of Quadratic Programming problem using Simplex Method
  23. 23 Mod-01 Lec-23 Interior point method for solving optimization problems
  24. 24 Mod-01 Lec-24 Interior point method for solving optimization problems (Contd.)
  25. 25 Mod-01 Lec-25 Solution Non linear Programming Problem using Exterior Penalty Function Method
  26. 26 Mod-01 Lec-26 Solution Non linear Programming Problem using Exterior Penalty
  27. 27 Mod-01 Lec-27 Solution of Non - linear Programming Problems using interior penalty function method
  28. 28 Mod-01 Lec-28 Solution of Non - linear Programming Problems using interior penalty
  29. 29 Mod-01 Lec-29 Multi - variable optimization problem
  30. 30 Mod-01 Lec-30 Dynamic Optimization Problem : Basic Concepts & Necessary and Sufficient Conditions
  31. 31 Mod-01 Lec-31 Dynamic Optimization Problem : Basic Concepts & Necessary and Sufficient
  32. 32 Mod-01 Lec-32 Dynamic Optimization Problem : Basic Concepts & Necessary
  33. 33 Mod-01 Lec-33 Numerical Example and Solution of Optimal Control problem
  34. 34 Mod-01 Lec-34 Numerical Example and Solution of Optimal Control problem
  35. 35 Mod-01 Lec-35 Hamiltonian Formulation for Solution of optimal control problem and numerical example
  36. 36 Mod-01 Lec-36 Hamiltonian Formulation for Solution of optimal control problem
  37. 37 Mod-01 Lec-37 Performance Indices and Linear Quadratic Regulator Problem
  38. 38 Mod-01 Lec-38 Performance Indices and Linear Quadratic Regulator Problem (Contd.)
  39. 39 Mod-01 Lec-39 Solution and stability analysis of finite - time LQR problem : Numerical Example
  40. 40 Mod-01 Lec-40 Solution of Infinite - time LQR problem and stability analysis
  41. 41 Mod-01 Lec-41 Numerical Example and Methods for Solution of A.R.E
  42. 42 Mod-01 Lec-42 Numerical Example and Methods for Solution of A.R.E (Contd.)
  43. 43 Mod-01 Lec-43 Frequency Domain Interpretation of LQR Controlled System
  44. 44 Mod-01 Lec-44 Gain and Phase Margin of LQR Controlled System
  45. 45 Mod-01 Lec-45 The Linear Quadratic Gaussian Problem
  46. 46 Mod-01 Lec-46 Loop Transfer Recovery
  47. 47 Mod-01 Lec-47 Dynamic Programming for Discrete Time System
  48. 48 Mod-01 Lec-48 Minimum - Time Control of a Linear Time Invariant System
  49. 49 Mod-01 Lec-49 Solution of Minimum - Time Control Problem with an Example
  50. 50 Mod-01 Lec-50 Constraint in Control Inputs and State Variables
  51. 51 Mod-01 Lec-51 Constraint in Control Inputs and State Variables (Contd.)
  52. 52 Mod-01 Lec-52 Norms for Vectors, Matrices, Signals and Linear Systems
  53. 53 Mod-01 Lec-53 Signal and System Norms
  54. 54 Mod-01 Lec-54 Internal Stability, Sensitivity and Complementary Sensitivity Functions
  55. 55 Mod-01 Lec-55 Internal Stability, Sensitivity and Complementary Sensitivity Functions (Contd.)
  56. 56 Mod-01 Lec-56 Plant Uncertainty and Standard form for Robust Stability Analysis
  57. 57 Mod-01 Lec-57 Plant Uncertainty and Standard form for Robust Stability Analysis (Contd.)
  58. 58 Mod-01 Lec-58 Frequency Response of Linear System and Singular Value Decomposition of System
  59. 59 Mod-01 Lec-59 Control Problem Statement in H- alpha Framework
  60. 60 Mod-01 Lec-60 Control Problem Statement in H - alpha Framework (Contd.)

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