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Course10810709840 lectures

Optimal control

Prof. Barjeev Tyagi · IIT Roorkee

Start with lecture 1 At NPTEL

Lectures

Unit-1

  1. Introduction and Performance Index Video
  2. Basic Concepts of Calculus of Variation Video
  3. The Basic Variational Problem Video
  4. Fixed End Point Problem Video
  5. Free End Point Problem. Video

Unit-2

  1. Free End Point Problem (Cont.) Video
  2. Free End Point Problem (Cont..) Video
  3. Free End Point Problem (Cont...) Video
  4. Optimum of Functions with Conditions Video
  5. Optimum of Functions with Conditions (Lagrange Multiplier Method) Video

Unit-3

  1. Optimum of Functional with Conditions Video
  2. Variational Approach to Optimal Control Systems Video
  3. Variational Approach to Optimal Control Systems (Cont.) Video
  4. Linear Quadratic Optimal Control Systems Video
  5. Linear Quadratic Optimal Control Systems (Cont.) Video

Unit-4

  1. Linear Quadratic Optimal Control Systems (Cont. Video
  2. Linear Quadratic Optimal Control Systems Cont.) Video
  3. Linear Quadratic Optimal Control Systems (Cont) Video
  4. Linear Quadratic Optimal Control Systems (Optimal Value of Performance Index) Video
  5. Infinite Horizon Regulator Problem Video

Unit-5

  1. Infinite Horizon Regulator Problem (Cont.) Video
  2. Analytical Solution of MDRE - State Transition Matrix Approach Video
  3. Analytical Solution of MDRE - Similarity Transformation Approach Video
  4. Analytical Solution of MDRE - Similarity Transformation Approach (Cont.) Video
  5. Frequency Domain Interpretation of LQR - Linear Time Invariant System Video

Unit-6

  1. Frequency Domain Interpretation of LQR - Linear Time Invariant System (Cont.) Video
  2. LQR with a Specified Degree of Stability Video
  3. Inverse Matrix Riccati Equation Video
  4. Linear Quadratic Tracking System Video
  5. Discrete-Time Optimal Control Systems Video

Unit-7

  1. Discrete-Time Optimal Control Systems (Cont.) Video
  2. Discrete-Time Optimal Control Systems (Cont. Video
  3. Matrix Discrete Riccati Equation Video
  4. Analytical Solution of Matrix Difference Riccati Equation Video
  5. Analytical Solution of Matrix Difference Riccati Equation (Cont. Video

Unit-8

  1. Optimal Control using Dynamic Programming Video
  2. The Hamilton-Jacobi-Bellman (HJB) Equation Video
  3. LQR System Using HJB Equation Video
  4. Time Optimal Control System - Constrained Input Video
  5. Time Optimal Control System (Cont.) Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Roorkee
Department
Electrical Engineering
Teacher
Prof. Barjeev Tyagi
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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