Control Systems
Course Code BEC403
CIE Marks 50
Teaching Hours/Week (L: T: P) (3:0:2)
SEE Marks 50
Total Hours of Pedagogy 40 hours Theory + 12 Lab slots
Total Marks 100
Credits 04
Exam Hours 03
Module-1
Introduction to Control Systems: Types of Control Systems, Effect of Feedback Systems,
Differential equation of Physical Systems -Mechanical Systems, Electrical Systems, Analogous
Systems. (Textbook 1: Chapter 1.1, 2.2)
TeachingLearning Process
Chalk and Talk, YouTube videos
RBT Level: L1, L2, L3
Module-2
Block diagrams and signal flow graphs: Transfer functions, Block diagram algebra and Signal
Flow graphs. (Textbook 1: Chapter 2.4, 2.5, 2.6)
TeachingLearning Process
Chalk and Talk, YouTube videos, Any software tool to implement block diagram
reduction techniques and Signal Flow graphs
RBT Level: L1, L2, L3
Module-3
Time Response of feedback control systems: Standard test signals, Unit step response of First
and Second order Systems. Time response specifications, Time response specifications of second
order systems, steady state errors and error constants. Introduction to PI, PD and PID Controllers
(excluding design). (Textbook 1: Chapter 5.3, 5.4, 5.5)
TeachingLearning Process
Chalk and Talk, YouTube videos, Any software tool to show time
response for various transfer functions and PI, PD and PID controllers.
RBT Level: L1, L2, L3
Module-4
Stability analysis: Concepts of stability, Necessary conditions for Stability, Routh stability
criterion, Relative stability analysis: more on the Routh stability criterion.
Introduction to Root-Locus Techniques, The root locus concepts, Construction of root loci.
(Textbook 1: Chapter 6.1, 6.2, 6.4, 6.5, 7.1, 7.2, 7.3)
TeachingLearning Process
Chalk and Talk, YouTube videos, Any software tool to plot Root locus for
various transfer functions
RBT Level: L1, L2, L3
Module-5
Frequency domain analysis and stability: Correlation between time and frequency response,
Bode Plots, Experimental determination of transfer function. (Textbook 1: Chapter 4: 8.1, 8.2, 8.4)
Mathematical preliminaries, Nyquist Stability criterion, (Stability criteria related to polar plots are
excluded) (Textbook 1: 9.2, 9.3)
State Variable Analysis: Introduction to state variable analysis: Concepts of state, state variable
and state models. State model for Linear continuous –Time systems, solution of state equations.
(Textbook 1: 12.2, 12.3, 12.6)
TeachingLearning Process
Chalk and Talk, YouTube videos, Any software tool to draw Bode plot
for various transfer functions
RBT Level: L1, L2, L3
Using suitable simulation software (P-Spice/ MATLAB / Python / Scilab / OCTAVE / LabVIEW)
demonstrate the operation of the following circuits:
Experiments
1 Implement Block diagram reduction technique to obtain transfer function a control system.
2 Implement Signal Flow graph to obtain transfer function a control system.
3 Simulation of poles and zeros of a transfer function.
4 Implement time response specification of a second order Under damped System, for different
damping factors.
5 Implement frequency response of a second order System.
6 Implement frequency response of a lead lag compensator.
7 Analyze the stability of the given system using Routh stability criterion.
8 Analyze the stability of the given system using Root locus.
9 Analyze the stability of the given system using Bode plots.
10 Analyze the stability of the given system using Nyquist plot.
11 Obtain the time response from state model of a system.
12 Implement PI and PD Controllers.
13 Implement a PID Controller and hence realize an Error Detector.
14 Demonstrate the effect of PI, PD and PID controller on the system response.
Suggested Learning Resources:
Text Books
1. Control Systems Engineering, I J Nagrath, M. Gopal, New age international Publishers, Fifth
edition.
Web links and Video Lectures (e-Resources):
• https://nptel.ac.in/courses/108106098
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