Control Systems

The lecture notes will be updated here periodically. 

This page is last updated on Oct 03, 2025.

Pre-requisites: 

Signals & Systems (EE101), MA-II (MA002), Programming

Course Syllabus: 

[Unit-1] Introduction: Introduction to control systems, types of control systems, feedback control systems, compensators, recall complex variables and Laplace transform, transfer function, pole-zero of transfer function, mathematical modelling of control system, block diagram representation, signal flow graph, Mason’s gain formula.  

[Unit-2] Time Response Analysis: Response of system (free and forced), First and second order system and their transient response, steady-state error analysis, settling time, effect of addition of poles and zeros; stability of control system, bounded input bounded output (BIBO) stability, asymptotic stability, characteristic equation of system, Routh-Hurwitz (RH) criterion, root locus method.   

[Unit-3] Frequency Response Analysis: Frequency response of system, Bode plot, gain and phase margins, polar plots, Nyquist plots, Nyquist stability criterion.   

[Unit-4] Design of Control System: Basics of proportional (P), proportional-integral (PI), proportional-integral-derivative (PID) controllers, modern PID controllers, lead-lag compensators, design of lead-lag compensators, state space representation, solution of state equation, controllability and observability, controllable and observable canonical forms, state feedback control. 

[Unit-5] Non Linear System & Control: Introduction to non-linear control systems, equilibrium point, linearization of non-linear system, phase plane analysis, limit cycles, periodic solutions, bifurcation, Lyapunov stability analysis.   

Course Outcomes: 

The present course will provide a mathematical and engineering perspective of control systems. By attending the course, students will be able to understand 

1. Control system and its block representation.

2. Time and frequency response analysis of a control system.

3. Design and analysis of controllers.

4. Theory of non-linear systems and their control.    

Recommended Books:

Text Books:

1. I. J. Nagrath, M. Gopal, Control System Engineering, New Age International, 5th Edition, (2011).

2. M. Gopal, Control Systems: Principles and Design, McGraw Hill, 4th Edition, (2012).  

Reference Books:

1. Norman S. Nise, Control System Engineering, John Wiley & Sons, 6th Edition, (2011).  

2. Katsuhiko Ogata, Modern Control Engineering, Prentice Hall, 5th Edition, (2010).

Evaluation Scheme: 

Students will be evaluated on a scale of 100 = (2/3) * best three of {MTE, ETE, Coding, Project} where

MTE - Open Book Mid Term Exam - 50 Marks for 2 Hr duration

ETE - Open Book End Term Exam - 50 Marks for 2 Hr duration

Coding - MATLAB Coding & Simulation Exam of 50 Marks for 2 Hr duration

Project - Project (a group of max 4) of 50 Marks (Abstract-10M + Report-25M + Presentation-15M)

Note: A minimum of 20 marks is required to pass the course. The grading will be relative-scaled.

Exam/Test Schedule: 

1. Mid Term Exam (MTE) will be held on 27 Sept 2025 from 10:00 AM to 12:00 PM. Q. Paper 

2. Last date to submit the abstract (max 200 words; include objective, methodology, possible outcomes; references) of project report is 6 Oct 2025. 

3. Last date to submit the project report (max 6 pages; include abstract, introduction, methodology/model, results, discussion, conclusion, references) is 31st Oct 2025. The report should be in IEEE format. Similarity index of the report should be less than 15%.