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Control systems


Course Objective: To provide a basic understanding of the concepts and techniques involved in designing control schemes for dynamic systems.

Learning Outcomes
: At the end of this course, one should possess in-depth knowledge of concepts from classical control theory, understand the concept of transfer function and use it for obtaining system response, analyze dynamic systems for their stability and performance, and design controllers (such as Proportional-Integral-Derivative) based on stability and performance requirements.

Important For Certification/Credit Transfer:

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Final Exam (in-person, invigilated, currently conducted in India) is mandatory for Certification and has INR Rs. 1100 as exam fee.

INTENDED AUDIENCE: Undergraduate engineering students (electrical engineering, electronics engineering, mechanical engineering, aerospace engineering, chemical engineering)



PREREQUISITES: 2nd year undergraduate students in engineering. Prefer that they have completed a course on engineering mathematics that teaches complex variables and laplace transform.

INDUSTRY SUPPORT: Automotive companies.


Prof. C. S. Shankar Ram is currently a faculty member in the Department of Engineering Design, Indian Institute of Technology Madras, Chennai, India. He received his Bachelor of Engineering (B. E.) in Mechanical Engineering from Motilal Nehru Regional Engineering College, Allahabad, India and his M. S. and Ph. D. from Texas A&M University, USA. His research interests are in the areas of dynamics and control with applications to automotive and transportation systems.


Week 1 :  Introduction to Control, Classification of Dynamic Systems, Closed Loop Control System with Feedback, Mathematical Preliminaries – Complex Variables, Laplace Transform.
Week 2  :   Standard Inputs, Free and Forced Response, Transfer Function, Poles and Zeros.
Week 3  : Response to various Inputs, Effect of Poles, Notion of Bounded Input Bounded Output (BIBO) stability.
Week 4  :  Effect of Zeros, Closed Loop Transfer Function, Dynamic Performance Specification, First Order Systems.
Week 5  :  Second Order Systems, Unit Step Response of Underdamped Second Order Systems, Concepts of Rise Time, Peak Time, Maximum Peak Overshoot and Settling Time.
Week 6  :  Controllers – Proportional (P), Integral (I) and Derivative (D) Blocks, Examples of PID controller design.
Week 7  :  Routh’s Stability Criterion, Use in Control Design, Incorporation of Performance Specifications in Controller Design, Analysis of Steady State Errors.
Week 8  :  Root Locus and its Application in Control Design.
Week 9  :  Frequency Response, Bode Plots, Nyquist Plots.
Week 10 : Nyquist Stability Criterion, Relative Stability – Gain and Phase Margins.
Week 11 : Control System Design via Frequency Response – Lead, Lag and Lag-Lead Compensation.
Week 12 : Case Studies.


     1) Katsuhiko Ogata, Modern Control Engineering, Prentice Hall.
     2) Gene Franklin,J.D. Powell,and Abbas Emami-Naeini,Feedback Control of Dynamic Systems,Prentice Hall.
     3) Benjamin C. Kuo, Automatic Control Systems, Prentice Hall.
     4) Eronini I. Umez-Eronini, System Dynamics and Control, Thomson Engineering.

  • The exam is optional for a fee.
  • Date of Exams : October 28 (Sunday)
  • Time of Exams : Morning session 9am to 12 noon; Afternoon session: 2pm to 5pm
  • Exam for this course will be available in both morning & afternoon sessions.
  • 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.


  • Final score will be calculated as : 25% assignment score + 75% final exam score
  • 25% assignment score is calculated as 25% of average of  Best 8 out of 12 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 IIT Madras.It will be e-verifiable at nptel.ac.in/noc.