The optimization techniques can be used in different ways depending on the approach (algebraic or geometric), the interest (single or multiple), the nature of the signals (deterministic or stochastic), and the stage (single or multiple). The main objective of optimal control is to determine control signals that will cause a process (plant) to satisfy some physical constraints and at the same time extremize (maximize or minimize) a chosen performancecriterion (performance index or cost function).
INTENDED AUDIENCE It is an Elective Course forPG, Research Engineers, Scientists, Non Ph.D Faculties.
PRE-REQUISITES
Advanced Control System.
INDUSTRIES THAT WILL RECOGNIZE THIS COURSE
DRDO, ISRO and Engineering Institutions etc.
918 students have enrolled already!!
COURSE INSTRUCTOR
Dr. Barjeev Tyagi received the PhD in Electrical Engineering, IIT-Kanpur, 2005 and M. Tech Electrical Engineering (Control System) from IIT-Kharagpur in the year 2000. Prior to these he completed his B. E. Electrical Engineering from IIT-Roorkee (Formally Univ. of Roorkee) in 1987. Presently he is serving as Associate Professor in EED, IIT-Roorkee since 2007. His research interests include Control System Analysis and Design, Control application in Power System, Distributed Generation and Control.
COURSE PLAN
Week 1
Introduction and Performance Index Basic Concept of calculus of variation The basic variational problem Fixed end point problem Free end point problem
Week 2
Free end point problem (Continued) Free end point problem (Continued) Free end point problem (Continued) Optimum of a function with conditions Optimum of Functions with Conditions (Lagrange Multiplier Method)
Week 3
Optimum of a functional with conditions Variational Approach to Optimal Control Systems Variational Approach to Optimal Control Systems (continued) Linear Quadratic Optimal Control Systems Linear Quadratic Optimal Control Systems (Contnued)
Week 4
Linear Quadratic Optimal Control Systems (Contnued) Linear Quadratic Optimal Control Systems (Contnued) Linear Quadratic Optimal Control Systems (Contnued) Linear Quadratic Optimal Control Systems (Optimal Value of Performance Index) Infinite Horizon Regulator Problem
Week 5
Infinite Horizon Regulator Problem (Continued) Analytical Solution of Matrix Differential Riccati Equation (State Transition Matrix Approach) Analytical Solution of Matrix Differential Riccati Equation (Similarity Transformation Approach) Analytical Solution of Matrix Differential Riccati Equation (Similarity Transformation Approach) (Continued) Frequency Domain Interpretation of LQR (Linear Time Invariant System)
Week 6
Frequency Domain Interpretation of LQR (Linear Time Invariant System) (Continued) LQR with a Specified Degree of Stability Inverse Matrix Riccati Equation Linear Quadratic Tracking System Discrete-Time Optimal Control Systems
Week 7
Discrete-Time Optimal Control Systems (Continued) Discrete-Time Optimal Control Systems (Continued) Matrix Discrete Riccati Equation Analytical Solution of Matrix Difference Riccati Equation Analytical Solution of Matrix Difference Riccati Equation (Continued)
Week 8
Optimal Control Using Dynamic Programming The Hamilton-Jacobi-Bellman (HJB) Equation LQR System Using H-J-B Equation Time Optimal Control System (Constrained Input) Time Optimal Control System (Continued)
The exam is optional for a fee.Exams will be on 24 September 2017. Time: Shift 1: 9am-12 noon; Shift 2: 2pm-5pm Any one shift can be chosen to write the exam for a course. Registration url: Announcements will be made when the registration form is open for registrations. The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published.
CERTIFICATE
Final score will be calculated as : 25% assignment score + 75% final exam score 25% assignment score is calculated as 25% of Average of Best 6 out of 8 assignments E-Certificate will be given to those who register and write the exam and score greater than or equal to 40% final score. Certificate will have your name, photograph and the score in the final exam with the breakup. It will have the logos of NPTEL and Indian Institute of Technology Roorkee. It will be e-verifiable at nptel.ac.in/noc
