# Control systems

By Prof. C. S. Shankar Ram   |   IIT Madras
Learners enrolled: 3821
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.

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.
Summary
 Course Status : Completed Course Type : Core Duration : 12 weeks Start Date : 29 Jul 2019 End Date : 18 Oct 2019 Exam Date : 17 Nov 2019 IST Category : Design Engineering Credit Points : 3 Level : Undergraduate

### Course layout

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.

### Books and references

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.

### Instructor bio

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.

### Course certificate

• 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.

CRITERIA TO GET A CERTIFICATE
• 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

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75
• 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