Control engineering

By Prof. Ramkrishna Pasumarthy   |   IIT Madras
This course shall introduce the fundamentals of modeling and control of linear time invariant systems; primarily from the classical viewpoint of Laplace transforms and a brief emphasis on the state space formulation as well. The course will be useful for students from major streams of engineering to build foundations of time/frequency analysis of systems as well as the feedback control of such systems. The 11th module of the course will cover a detailed application of filter design in the field of navigation and human movement (gait). Students will be able to design their very own basic navigational system using inertial sensors and microcontrollers. 

INTENDED AUDIENCE: Undergraduate students taking course on Control Engineering
PRE-REQUISITES:        Network and Circuits, Basic Engineering Mathematics. For those who would like to refer to 
                                        some material prior to this course, we suggest the NPTEL course on Networks and Systems by
                                        Dr.V.G.K.Murti. Here is the link to playlist on Youtube. Content in Lectures 1 -6 and 20-29 will be
                                        most relevant for this course. 
INDUSTRY SUPPORT:  Any industry into Industrial Automation

Learners enrolled: 7909


Course Status : Completed
Course Type : Core
Duration : 12 weeks
Start Date : 29 Jul 2019
End Date : 18 Oct 2019
Exam Date : 17 Nov 2019
Category :
  • Electrical, Electronics and Communications Engineering
  • Level : Undergraduate
    This is an AICTE approved FDP course


    Week 1: Mathematical Modelling of Systems
    Week 2: Laplace Transforms, transfer functions, block diagram representation.
    Week 3: Block diagram reduction, Time response characteristics.
    Week 4: Introduction to stability, Routh Hurwitz stability criterion.
    Week 5: Root locus plots, stability margins.
    Week 6: Frequency response analysis: Nyquist stability criterion,  Bode plots and stability margins in frequency domain.
    Week 7: Basics of control design, the proportional, derivative and integral actions.
    Week 8: Design using Root Locus
    Week 9: Design using Bode plots
    Week 10: Effects of zeros, minimum and non-minimum phase systems.
    Week 11: Application of basic filter design to Navigation and Movement.
    Week 12: Introduction to state space methods, Linearization of nonlinear systems.

    Thanks to the support from MathWorks, enrolled students have access to MATLAB for the duration of the course.


    • Control Systems Engineering, Norman S. Nise, Wiley, 6th edition.
    • Modern Control Engineering, Katsuhiko Ogata, Pearson Education Inc.
    • Modern Control Systems, Richard C. Dorf, Robert H. Bishop, 12th Edition
    • Automatic Control Systems, Farid Golnaraghi and Benjamin C Kuo, 9th Edition, John Wiley and Sons
    • Feedback Systems: An Introduction for Scientists and Engineers, by Karl Astrom and Richard M. Murray. (http://www.cds.caltech.edu/~murray/books/AM05/pdf/am08-complete_22Feb09.pdf)
    • For solving problems: Schaum’s outline of Theory and Problems of Feedback and Control Systems, Second Edition J DiStefano, A Stubberud, I Williams, McGraw Hill.
    • MATLAB Tutorials


    Prof. Ramkrishna Pasumarthy is currently an Associate Professor at Department of Electrical Engineering, IIT Madras. I obtained my PhD in systems and control from University of Twente, The Netherlands and held post doc positions at University of Melbourne and UCLA.My interests lie in the area of modeling and control of complex physical systems. I also have interests in the area of identification and control of (cloud) computing systems and data analytics for power, traffic and cloud networks. I am also a member of the Interdisciplinary Laboratory for Data Sciences at IIT Madras. 

    Teaching Assistants:

    Durgesh Singh
    is currently pursuing the Ph.D. degree in systems and control with IIT Madras, Chennai, India. His current research interests include system identification and performance management in 
    cloud computing systems, distributed control, and stability analysis of cyber-physical systems.

    Vijayanand Digge is currently  M.S. Scholar in the Electrical Engineering Department of IIT Madras working under Prof.Ramkrishna Pasumarthy. His research interests are in Internet of Things(IoT) & Data-driven controller design.

    Kiran Rokade is currently an M.S. scholar at the Department of Electrical Engineering, IIT Madras. His research interest are in Control under Communication Constraints, Multiagent Systems and Optimization.


    • The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
    • The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
    • Date and Time of Exams: 17 November 2019, Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
    • 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. If there are any changes, it will be mentioned then.
    • Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

    • Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course. 
    • Exam score = 75% of the proctored certification exam score out of 100
    • Final score = Average assignment score + Exam score

    • If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.
    • Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Madras. It will be e-verifiable at nptel.ac.in/noc.
    • Only the e-certificate will be made available. Hard copies are being discontinued from July 2019 semester and will not be dispatched.