Electrical - Optimal Control (English)

20    Friday, May 02, 2025   

Starting a new Lecture Notes Series on Electrical - Optimal Control

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Lecture 1: Mod-01 Lec-01 Introduction to Optimization

Lecture 2: Mod-01 Lec-02 Introduction to Optimization (Contd.)

Lecture 3: Mod-01 Lec-03 Optimality Conditions for function of several variables

Lecture 4: Mod-01 Lec-04 Optimality Conditions for function of several variables (Contd.)

Lecture 5: Mod-01 Lec-05 Unconstrained optimization problem (Numerical Techniques)

Lecture 6: Mod-01 Lec-06 Solution of unconstarined optimization problem using conjugate gradient method

Lecture 7: Mod-01 Lec-07 Solution of unconstarined optimization problem using conjugate gradient method

Lecture 8: Mod-01 Lec-08 Solution of contraint optimization problems - karush - kuhn Tucker (KKT) conditions

Lecture 9: Mod-01 Lec-09 Solution of contraint optimization problems - karush - kuhn Tucker (KKT)

Lecture 10: Mod-01 Lec-10 Problem Solution Session

Lecture 11: Mod-01 Lec-11 Post optimality analysis, convex function and its properties

Lecture 12: Mod-01 Lec-12 Post optimality analysis, convex function and its properties (Contd.)

Lecture 13: Mod-01 Lec-13 Quadratic optimization problem using Linear Programming

Lecture 14: Mod-01 Lec-14 Matrix form of the Simplex Method

Lecture 15: Mod-01 Lec-15 Matrix form of the Simplex Method (Contd.)

Lecture 16: Mod-01 Lec-16 Solution of Linear Programming using Simplex Method - Algebraic Approach

Lecture 17: Mod-01 Lec-17 Solution of Linear Programming using Simplex Method - Algebraic Approach (Contd.)

Lecture 18: Mod-01 Lec-18 Solution of LP problems with Two - Phase Method

Lecture 19: Mod-01 Lec-19 Solution of LP problems with Two - Phase Method (Contd.)

Lecture 20: Mod-01 Lec-20 Standard Primal and Dual problems

Lecture 21: Mod-01 Lec-21 Relationship between Primal and Dual Variables

Lecture 22: Mod-01 Lec-22 Solution of Quadratic Programming problem using Simplex Method

Lecture 23: Mod-01 Lec-23 Interior point method for solving optimization problems

Lecture 24: Mod-01 Lec-24 Interior point method for solving optimization problems (Contd.)

Lecture 25: Mod-01 Lec-25 Solution Non linear Programming Problem using Exterior Penalty Function Method

Lecture 26: Mod-01 Lec-26 Solution Non linear Programming Problem using Exterior Penalty

Lecture 27: Mod-01 Lec-27 Solution of Non - linear Programming Problems using interior penalty function method

Lecture 28: Mod-01 Lec-28 Solution of Non - linear Programming Problems using interior penalty

Lecture 29: Mod-01 Lec-29 Multi - variable optimization problem

Lecture 30: Mod-01 Lec-30 Dynamic Optimization Problem : Basic Concepts & Necessary and Sufficient Conditions

Lecture 31: Mod-01 Lec-31 Dynamic Optimization Problem : Basic Concepts & Necessary and Sufficient

Lecture 32: Mod-01 Lec-32 Dynamic Optimization Problem : Basic Concepts & Necessary

Lecture 33: Mod-01 Lec-33 Numerical Example and Solution of Optimal Control problem

Lecture 34: Mod-01 Lec-34 Numerical Example and Solution of Optimal Control problem

Lecture 35: Mod-01 Lec-35 Hamiltonian Formulation for Solution of optimal control problem and numerical example

Lecture 36: Mod-01 Lec-36 Hamiltonian Formulation for Solution of optimal control problem

Lecture 37: Mod-01 Lec-37 Performance Indices and Linear Quadratic Regulator Problem

Lecture 38: Mod-01 Lec-38 Performance Indices and Linear Quadratic Regulator Problem (Contd.)

Lecture 39: Mod-01 Lec-39 Solution and stability analysis of finite - time LQR problem : Numerical Example

Lecture 40: Mod-01 Lec-40 Solution of Infinite - time LQR problem and stability analysis

Lecture 41: Mod-01 Lec-41 Numerical Example and Methods for Solution of A.R.E

Lecture 42: Mod-01 Lec-42 Numerical Example and Methods for Solution of A.R.E (Contd.)

Lecture 43: Mod-01 Lec-43 Frequency Domain Interpretation of LQR Controlled System

Lecture 44: Mod-01 Lec-44 Gain and Phase Margin of LQR Controlled System

Lecture 45: Mod-01 Lec-45 The Linear Quadratic Gaussian Problem

Lecture 46: Mod-01 Lec-46 Loop Transfer Recovery

Lecture 47: Mod-01 Lec-47 Dynamic Programming for Discrete Time System

Lecture 48: Mod-01 Lec-48 Minimum - Time Control of a Linear Time Invariant System

Lecture 49: Mod-01 Lec-49 Solution of Minimum - Time Control Problem with an Example

Lecture 50: Mod-01 Lec-50 Constraint in Control Inputs and State Variables

Lecture 51: Mod-01 Lec-51 Constraint in Control Inputs and State Variables (Contd.)

Lecture 52: Mod-01 Lec-52 Norms for Vectors, Matrices, Signals and Linear Systems

Lecture 53: Mod-01 Lec-53 Signal and System Norms

Lecture 54: Mod-01 Lec-54 Internal Stability, Sensitivity and Complementary Sensitivity Functions

Lecture 55: Mod-01 Lec-55 Internal Stability, Sensitivity and Complementary Sensitivity Functions (Contd.)

Lecture 56: Mod-01 Lec-56 Plant Uncertainty and Standard form for Robust Stability Analysis

Lecture 57: Mod-01 Lec-57 Plant Uncertainty and Standard form for Robust Stability Analysis (Contd.)

Lecture 58: Mod-01 Lec-58 Frequency Response of Linear System and Singular Value Decomposition of System

Lecture 59: Mod-01 Lec-59 Control Problem Statement in H- alpha Framework

Lecture 60: Mod-01 Lec-60 Control Problem Statement in H - alpha Framework (Contd.)