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