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Electrical & Electronics Engineering

Optimal Control

Optimal Control

01 Introduction to Optimization Problem

02 Introduction to Optimization ProblemSome Examples (Contd.)

03 Optimality Conditions for Function of Several Variables

04 Optimality Conditions for Function of Several Variables (Contd.)

05 Unconstrained Optimization Problem (Numerical Techniques)

06 Solution of Unconstrained Optimization Problem Using Conjugate Quadient Method and Networks Methods

07 Solution of Unconstrained Optimization Problem Using Conjugate Quadient Method and Networks Methods (Contd.)

08 Solution of Constraint Optimization Problem-Karush-Kuhn Tucker (KKT) Conditions

09 Solution of Constraint Optimization Problem-Karush-Kuhn Tucker (KKT) Conditions (Contd.)

10 Problem and 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 MethodAlgebraic Approach

17 Solution of Linear Programming Using Simplex MethodAlgebraic 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 of Nonlinear Programming Problem Using Exterior Penalty Function Method

26 Solution of Nonlinear Programming Problem Using Exterior Penalty Function Method (Contd.)

27 Solution of Nonlinear Programming Problem Using Interior Penalty Function Method

28 Solution of Nonlinear Programming Problem Using Interior Penalty Function Method (Contd.)

29 Multiobjective Optimization Problem

30 Dynamic Optimization Problem Basic Concepts and Necessary and Sufficient Condition

31 Dynamic Optimization ProblemBasic Concepts and Necessary and Sufficient Condition (Contd...1)

32 Dynamic Optimization ProblemBasic Concepts and Necessary and Sufficient Condition (Contd...2)

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

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 and 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 Systems

48 Time Control of a Linear Time Invariant System

49 Solution of Minimum Time Control Problem with an Example

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