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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 ‘Linear Systems Theory’ online course is a study about linear systems and control associated concepts in control engineering. This course is a National Program for Technology Enhanced Learning free online program provided on the Swayam education portal. The course curriculum is developed and offered by the Indian Institute of Technology Madras.

The online program is scheduled for twelve weeks and is an elective course for undergraduate and postgraduate level students. This course which is a part of the electrical, electronics, and communication engineering along with control and instrumentation domain is a faculty development program that is approved by the All India Council for Technical Education.

The course educator for this online certification course is Prof Ramkrishna Pasumarthy from the department of electrical engineering at IIT Madras. The ‘Linear Systems Theory’ training program will allow students to gain three credits and an e-verifiable course completion certificate after completing the course.

The Highlights

Twelve weeks course
Free online training
Three course-credits
Undergraduate and postgraduate level
AICTE approved
NPTEL online program
E-verifiable certificate

Programme Offerings

Course Modules
videos
Lectures
Problems
online discussions
Books
references
assignments
Final Exam
E-certificate
Free course access
Three credits

Courses and Certificate Fees

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

The candidates of the ‘Linear Systems Theory’ program are provided with access to the course curriculum without any payment but are required to pay for the certification exam registration.

Linear Systems Theory fee structure

Description	Amount in INR
Course Fee	Nil
Exam Fee	Rs 1000

Eligibility Criteria

The students applying for the ‘Linear Systems Theory’ online program are required to have prior knowledge of linear algebra, differential equations, and control systems engineering.

Certification qualifying details

The ‘Linear Systems Theory’ e-certificate is issued to students who have a minimum average score of 10/25 (25%) in 8 out of 12 assignments, 30/75 (75%) in the exam, and a final score of 40/100 to qualify for the certification.

What you will learn

Mathematical skillAutomation skillsKnowledge of electronicsKnowledge of engineering

The ‘Linear Systems Theory’ syllabus describes the theoretical concepts and practical applications of the aspects of linear systems and control in engineering. The students at the end of the program will be able to develop expertise in the following aspects,

The behavior of systems under different operating conditions
Linear models
Control ability associated with positioning of actuators
Observability with regard to placing of censors
Design techniques such as pole placement.
Fundamental of optimal control

Who it is for

Aerospace EngineerElectrical EngineerChemical EngineerMechanical Engineer

The ‘Linear Systems Theory’ online certification program is designed for the students of undergraduate or postgraduate level in electrical engineering, mechanical engineering, aerospace engineering, and chemical engineering. The course also is advantageous for the industrial professionals who are electrical engineers, mechanical engineers, aerospace engineers, or chemical engineers.

Admission Details

The candidates interested in applying for the ‘Linear Systems Theory’ certification program can register online through the Swayam website.

Step 1: Go to the course page using the following link,

https://onlinecourses.nptel.ac.in/noc21_ee113/preview

Step 2: Click on the Sign-In/Register button

Step 3: Fill in the required information and complete the registration.

Application Details

On the registration page, the applicants will have to enter information like name, phone number, email address and others or can choose to use their valid Google or Facebook IDs to sign in.

The Syllabus

Introduction to Linear Systems with Examples

Math Preliminaries I - Vector Spaces, Bases
Coordinate Transformation
Invariant Subspaces
Inner product
Norms

Math Preliminaries II - Rank
Types of Matrices
Eigenvalues
Eigenvectors
Diagonalization
Matrix Factorization

State Transition Matrix
Solutions to LTI Systems
Solutions to LTV Systems

Equilibrium points
Linearization
Types of Linearization with Examples

Stability
Types of Stability
Lyapunov Equation

Controllability
Reachability
Stabilizability
Tests
Controllable and Reachable Subspaces
Grammians
Controllable Decomposition

Observability
Constructibility
Detectability
Tests
Subspaces
Grammians
State Estimation
Observable Decomposition

Kalman Decomposition
Pole Placement
Controller Design

Observer Design
Duality
Minimal Realization

Basics of Optimal Control
LQR, Riccati Equation

LMIs in Control

Evaluation process

The final proctored certification exam is mandatory for the students to become eligible for the course certificate.
The exam is conducted in the allotted centers and the registration with payment is done online through the website.
The minimum mark required for the certification is 30/75 (75%).