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Quick Facts

Medium Of Instructions	Mode Of Learning	Mode Of Delivery
English	Self Study	Video and Text Based

Course Overview

The primary objective of an optimized system is to find out specific control signals. These control signals will maximize or minimize a particular performance criterion while satisfying other physical constraints. The Optimal Control program is a postgraduate course for people who want to learn about different optimization techniques using various methods of approach.

Optimal Control certification is a collaboration between NPTEL and IIT Roorkee. Professor Barjeev Tyagi of IT Roorkee has designed the syllabus and will be the instructor for the course. This is an elective postgraduate course in electrical, electronics, and communications engineering intended for postgraduates, scientists, research engineers, and non-PhD faculty.

Optimal Control is an online course with eight weeks duration covering an extensive syllabus. Candidates will receive multiple assignments to evaluate their progress. There is also an optional in-person examination offered for candidates interested in an e-certificate. All the course material, along with any necessary information, is available on the Swayam website.

The Highlights

Online MOOC
E-certificate available
AICTE-approved FDP course
Eight-week course
Elective post-graduation course
Online course in electrical, electronics, and communications engineering
IIT Roorkee professor
Free to audit
Optional final exam
Assignments

Programme Offerings

Free course audit
AICTE-approved FDP course
Developed by IIT Roorkee
assignments
elective course
PG-level course
E-certificate
Eight-Week Course
Optional final exam

Courses and Certificate Fees

Fees Informations	Certificate Availability	Certificate Providing Authority
INR 1000	yes	IIT Roorkee

Optimal Control training has a free enrolment process. Only participants who want to appear for the offline exam need to pay an exam fee of Rs 1,000.

Optimal Control program fee structure

Course Name	Fee
Optimal Control (Final exam qualification)	Rs. 1,000

Eligibility Criteria

Optimal Control program participants need to know about advanced control systems to understand this course thoroughly.

Certification Qualifying Details

Certification qualification eligibility includes securing a passing assignment score and a passing exam score. These two scores will be added to find the final score.

For the assignment score, participants need to submit all assignments and secure a minimum of 10/25 in the best 6 of 8 assignments. They also need to sit for an offline exam and score a minimum of 30/75. The final passing score is 40/100. Only candidates who complete all three criteria will be awarded the certificate.

What you will learn

Knowledge of electronics

In the Optimal Control program, participants will learn about:

Optimization techniques based on the approach
Optimization techniques based on the interest
Optimization techniques based on the nature of signals
Optimization techniques based on the stage
Different performance criteria

Who it is for

Scientist

Optimal Control online course has been designed for scientists, postgraduates, non-PhD candidates, and research engineers.

Admission Details

Individuals can enrol in the Optimal Control by Swayam by following these steps:

Go to the official Swayam website https://swayam.gov.in/ and run a search for ‘Optimal Control’ in the search box of the course catalog.
A box will appear with two columns: ‘Upcoming (Enrollment Open)’ and ‘Ongoing (Enrolment Closed)’. If the course is in the upcoming column, tap on join.
A sign-up form will appear. Log in or sign up with appropriate details.
There will be an online exam form. Fill it up and pay the exam fee as required.

Application Details

The Optimal Control program does not have an application form to enrol. Individuals can join simply by logging or signing up on the Swayam website.

To sign up, they need to choose a username and password and verify their email address. Candidates can choose to skip the sign-up process by logging in using their existing Swayam account or their Google, Facebook, or Microsoft account. Individuals must also fill out an online exam form if they want to sit for the exam.

The Syllabus

Introduction and Performance Index
Basic Concept of calculus of variation
The basic variational problem
Fixed end point problem
Free end point problem

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)

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)

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

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)

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

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)

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)

Evaluation process

Swayam concludes the Optimal Control training by organizing a proctored end-term exam at its designated exam centers. Only candidates who pay the certification fee can take the exam. They can attend either of the two sessions: morning (9 AM – 12 PM) or afternoon (2 PM – 5 PM).

Candidates are intimated about all the exam-related details in advance, including the exam centers, date, timings, etc. Swayam also releases a registration URL for the online exam form.