NOC:Optimal Control


Lecture 1 - Introduction and Performance Index


Lecture 2 - Basic Concepts of Calculus of Variation


Lecture 3 - The Basic Variational Problem


Lecture 4 - Fixed End Point Problem


Lecture 5 - Free End Point Problem


Lecture 6 - Free End Point Problem (Continued...)


Lecture 7 - Free End Point Problem (Continued...)


Lecture 8 - Free End Point Problem (Continued...)


Lecture 9 - Optimum of Functions with Conditions


Lecture 10 - Optimum of Functions with Conditions (Lagrange Multiplier Method)


Lecture 11 - Optimum of Functional with Conditions


Lecture 12 - Variational Approach to Optimal Control Systems


Lecture 13 - Variational Approach to Optimal Control Systems (Continued...)


Lecture 14 - Linear Quadratic Optimal Control Systems


Lecture 15 - Linear Quadratic Optimal Control Systems (Continued...)


Lecture 16 - Linear Quadratic Optimal Control Systems (Continued...)


Lecture 17 - Linear Quadratic Optimal Control Systems (Continued...)


Lecture 18 - Linear Quadratic Optimal Control Systems (Continued...)


Lecture 19 - Linear Quadratic Optimal Control Systems (Optimal Value of Performance Index)


Lecture 20 - Infinite Horizon Regulator Problem


Lecture 21 - Infinite Horizon Regulator Problem (Continued...)


Lecture 22 - Analytical Solution of MDRE - State Transition Matrix Approach


Lecture 23 - Analytical Solution of MDRE - Similarity Transformation Approach


Lecture 24 - Analytical Solution of MDRE - Similarity Transformation Approach (Continued...)


Lecture 25 - Frequency Domain Interpretation of LQR - Linear Time Invariant System


Lecture 26 - Frequency Domain Interpretation of LQR - Linear Time Invariant System (Continued...)


Lecture 27 - LQR with a Specified Degree of Stability


Lecture 28 - Inverse Matrix Riccati Equation


Lecture 29 - Linear Quadratic Tracking System


Lecture 30 - Discrete-Time Optimal Control Systems


Lecture 31 - Discrete-Time Optimal Control Systems (Continued...)


Lecture 32 - Discrete-Time Optimal Control Systems (Continued...)


Lecture 33 - Matrix Discrete Riccati Equation


Lecture 34 - Analytical Solution of Matrix Difference Riccati Equation


Lecture 35 - Analytical Solution of Matrix Difference Riccati Equation (Continued...)


Lecture 36 - Optimal Control using Dynamic Programming


Lecture 37 - The Hamilton-Jacobi-Bellman (HJB) Equation


Lecture 38 - LQR System Using HJB Equation


Lecture 39 - Time Optimal Control System - Constrained Input


Lecture 40 - Time Optimal Control System (Continued...)