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Course Co-ordinated by :
IIT Kharagpur
Course Available from :
11-July-2012
NPTEL
Electrical Engineering
Optimal Control (Video)
Introduction to Optimization
Modules / Lectures
Introduction to Optimization
Introduction to Optimization
Introduction to Optimization (Contd.)
Optimality Conditions for function of several variables
Optimality Conditions for function of several variables
Optimality Conditions for function of several variables (Contd.)
Unconstrained optimization problem (Numerical Techniques)
Unconstrained optimization problem (Numerical Techniques)
Solution of unconstarined optimization problem using conjugate gradient method and Newton\'s Method
Solution of unconstarined optimization problem using conjugate gradient method and Newton's Method
Solution of unconstarined optimization problem using conjugate gradient method and Newton's Method (Contd.)
Solution of contraint optimization problems - karush - kuhn Tucker (KKT) conditions
Solution of contraint optimization problems - karush - kuhn Tucker (KKT) conditions
Solution of contraint optimization problems - karush - kuhn Tucker (KKT) conditions (Contd.)
Problem Solution Session
Problem Solution Session
Post optimality analysis, convex function and its properties
Post optimality analysis, convex function and its properties
Post optimality analysis, convex function and its properties (Contd.)
Quadratic optimization problem using Linear Programming
Quadratic optimization problem using Linear Programming
Matrix form of the Simplex Method
Matrix form of the Simplex Method
Matrix form of the Simplex Method (Contd.)
Solution of Linear Programming using Simplex Method - Algebraic Approach
Solution of Linear Programming using Simplex Method - Algebraic Approach
Solution of Linear Programming using Simplex Method - Algebraic Approach (Contd.)
Solution of LP problems with Two - Phase Method
Solution of LP problems with Two - Phase Method
Solution of LP problems with Two - Phase Method (Contd.)
Standard Primal and Dual problems
Standard Primal and Dual problems
Relationship between Primal and Dual Variables
Relationship between Primal and Dual Variables
Solution of Quadratic Programming problem using Simplex Method
Solution of Quadratic Programming problem using Simplex Method
Interior point method for solving optimization problems
Interior point method for solving optimization problems
Interior point method for solving optimization problems (Contd.)
Solution Non linear Programming Problem using Exterior Penalty Function Method
Solution Non linear Programming Problem using Exterior Penalty Function Method
Solution Non linear Programming Problem using Exterior Penalty Function Method (Contd.)
Solution of Non - linear Programming Problems using interior penalty function method
Solution of Non - linear Programming Problems using interior penalty function method
Solution of Non - linear Programming Problems using interior penalty function method (Contd.)
Multi - variable optimization problem
Multi - variable optimization problem
Dynamic Optimization Problem : Basic Concepts & Necessary and Sufficient Conditions
Dynamic Optimization Problem : Basic Concepts & Necessary and Sufficient Conditions
Dynamic Optimization Problem : Basic Concepts & Necessary and Sufficient Conditions (Contd.)
Dynamic Optimization Problem : Basic Concepts & Necessary and Sufficient Conditions (Contd.)
Numerical Example and Solution of Optimal Control problem using Calculus of variation principle
Numerical Example and Solution of Optimal Control problem using Calculus of variation principle
Numerical Example and Solution of Optimal Control problem using Calculus of variation principle (Contd.)
Hamiltonian Formulation for Solution of optimal control problem and numerical example
Hamiltonian Formulation for Solution of optimal control problem and numerical example
Hamiltonian Formulation for Solution of optimal control problem and numerical example (Contd.)
Performance Indices and Linear Quadratic Regulator Problem
Performance Indices and Linear Quadratic Regulator Problem
Performance Indices and Linear Quadratic Regulator Problem (Contd.)
Solution and stability analysis of finite - time LQR problem : Numerical Example
Solution and stability analysis of finite - time LQR problem : Numerical Example
Solution of Infinite - time LQR problem and stability analysis
Solution of Infinite - time LQR problem and stability analysis
Numerical Example and Methods for Solution of A.R.E
Numerical Example and Methods for Solution of A.R.E
Numerical Example and Methods for Solution of A.R.E (Contd.)
Frequency Domain Interpretation of LQR Controlled System
Frequency Domain Interpretation of LQR Controlled System
Gain and Phase Margin of LQR Controlled System
Gain and Phase Margin of LQR Controlled System
The Linear Quadratic Gaussian Problem
The Linear Quadratic Gaussian Problem
Loop Transfer Recovery
Loop Transfer Recovery
Dynamic Programming for Discrete Time System
Dynamic Programming for Discrete Time System
Minimum - Time Control of a Linear Time Invariant System
Minimum - Time Control of a Linear Time Invariant System
Solution of Minimum - Time Control Problem with an Example
Solution of Minimum - Time Control Problem with an Example
Constraint in Control Inputs and State Variables
Constraint in Control Inputs and State Variables
Constraint in Control Inputs and State Variables (Contd.)
Norms for Vectors, Matrices, Signals and Linear Systems
Norms for Vectors, Matrices, Signals and Linear Systems
Signal and System Norms
Signal and System Norms
Internal Stability, Sensitivity and Complementary Sensitivity Functions
Internal Stability, Sensitivity and Complementary Sensitivity Functions
Internal Stability, Sensitivity and Complementary Sensitivity Functions (Contd.)
Plant Uncertainty and Standard form for Robust Stability Analysis
Plant Uncertainty and Standard form for Robust Stability Analysis
Plant Uncertainty and Standard form for Robust Stability Analysis (Contd.)
Frequency Response of Linear System and Singular Value Decomposition of System
Frequency Response of Linear System and Singular Value Decomposition of System
Control Problem Statement in H- alpha Framework
Control Problem Statement in H- alpha Framework
Control Problem Statement in H - alpha Framework (Contd.)
Translation Feedback form
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