Lecture 29 of 40Unit-6
Linear Quadratic Tracking System
Prof. Barjeev Tyagi · IIT Roorkee
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- Optimal control, IIT Roorkee (at NPTEL)
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All the lectures
- Introduction and Performance Index
- Basic Concepts of Calculus of Variation
- The Basic Variational Problem
- Fixed End Point Problem
- Free End Point Problem.
- Free End Point Problem (Cont.)
- Free End Point Problem (Cont..)
- Free End Point Problem (Cont...)
- Optimum of Functions with Conditions
- Optimum of Functions with Conditions (Lagrange Multiplier Method)
- Optimum of Functional with Conditions
- Variational Approach to Optimal Control Systems
- Variational Approach to Optimal Control Systems (Cont.)
- Linear Quadratic Optimal Control Systems
- Linear Quadratic Optimal Control Systems (Cont.)
- Linear Quadratic Optimal Control Systems (Cont.
- Linear Quadratic Optimal Control Systems Cont.)
- Linear Quadratic Optimal Control Systems (Cont)
- Linear Quadratic Optimal Control Systems (Optimal Value of Performance Index)
- Infinite Horizon Regulator Problem
- Infinite Horizon Regulator Problem (Cont.)
- Analytical Solution of MDRE - State Transition Matrix Approach
- Analytical Solution of MDRE - Similarity Transformation Approach
- Analytical Solution of MDRE - Similarity Transformation Approach (Cont.)
- Frequency Domain Interpretation of LQR - Linear Time Invariant System
- Frequency Domain Interpretation of LQR - Linear Time Invariant System (Cont.)
- LQR with a Specified Degree of Stability
- Inverse Matrix Riccati Equation
- Linear Quadratic Tracking System
- Discrete-Time Optimal Control Systems
- Discrete-Time Optimal Control Systems (Cont.)
- Discrete-Time Optimal Control Systems (Cont.
- Matrix Discrete Riccati Equation
- Analytical Solution of Matrix Difference Riccati Equation
- Analytical Solution of Matrix Difference Riccati Equation (Cont.
- Optimal Control using Dynamic Programming
- The Hamilton-Jacobi-Bellman (HJB) Equation
- LQR System Using HJB Equation
- Time Optimal Control System - Constrained Input
- Time Optimal Control System (Cont.)