Course Name: CONTROL SYSTEM‐I
Course Code: EE 503
Credit: 4
Prerequisites:
To understand this course, the student must have idea of:
Sl. No. Subject Description Level of Study
01 Mathematics Linear Differential Equations, Laplace Class XII, 2nd Sem
Transform
02 Physics Rotational Motion Class XI
03 Circuit Theory Network Theory 2nd Sem
Course Objective:
• To introduce different types of system and identify a set of algebraic equations to represent
and model a complicated system into a more simplified form to interpret different
physical and mechanical systems in terms of electrical system to construct equivalent
electrical models for analysis.
• To employ time domain analysis to predict and diagnose transient performance
parameters of the system for standard input functions and identify the needs of different
types of controllers and compensator to ascertain the required dynamic response from the
system
• Formulate different types of analysis in frequency domain to explain the nature of stability
of the system.
Course Outcomes:
At the end of the course, a student will be able to:
1. Categorize different types of system and identify a set of algebraic equations to represent and
model a complicated system into a more simplified form.
2. Characterize any system in Laplace domain to illustrate different specification of the system using
transfer function concept.
3. Interpret different physical and mechanical systems in terms of electrical system to construct
equivalent electrical models for analysis.
4. Employ time domain analysis to predict and diagnose transient performance parameters of the
system for standard input functions.
5. Formulate different types of analysis in frequency domain to explain the nature of stability of the
system.
6. Identify the needs of different types of controllers and compensator to ascertain the required
dynamic response from the system.
CO- PO mapping:
PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12
1 3 1 - 2 2 2 - - 1 1 1 2
2 3 2 - 2 2 1 - - 1 - 1 2
3 2 3 2 2 1 2 1 1 1 1 1 2
4 2 2 1 2 2 1 1 - - 1 - 1
5 3 3 2 2 2 1 1 - 1 - 1 2
6 2 3 2 2 1 1 1 1 - 1 1 1
Syllabus Indicating CO:
Module No. Content Relevant CO’s
Introduction to control system: Concept of feedback and Automatic control,
Effects of feedback, Objectives of control system, Definition of linear and nonlinear
systems, Elementary concepts of sensitivity and robustness. Types of control
1 CO1,CO2,CO3
systems, Servomechanisms and regulators, examples of feedback control systems.
Transfer function concept. Pole and Zeroes of a transfer function. Properties of
Transfer function.
Mathematical modeling of dynamic systems: Translational systems, Rotational
systems, Mechanical coupling, Liquid level systems, Electrical analogy of Spring–
Mass‐Dashpot system. Block diagram representation of control systems. Block
diagram algebra. Signal flow graph. Mason’s gain formula.
Control system components: Potentiometer, Synchros, Resolvers, Position
encoders. DC and AC tacho‐generators. Actuators. Block diagram level description
of feedback control systems for position control, speed control of DC motors,
temperature control, liquid level control, voltage control of an
Alternator.
Time domain analysis: Time domain analysis of a standard second order closed CO1,CO4
loop system. Concept of undamped natural frequency, damping, overshoot, rise
time and settling time. Dependence of time domain performance parameters on
2
natural frequency and damping ratio. Step and Impulse response of first and
second order systems. Effects of Pole and Zeros on transient response. Stability by
pole location. Routh‐Hurwitz criteria and applications.
Error Analysis: Steady state errors in control systems due to step, ramp and
parabolic inputs. Concepts of system types and error constants.
Stability Analysis: Root locus techniques, construction of Root Loci for simple CO2,CO5
systems. Effects of gain on the movement of Pole and Zeros.
Frequency domain analysis of linear system: Bode plots, Polar plots, Nichols chart,
3
Concept of resonance frequency of peak magnification. Nyquist criteria, measure
of relative stability, phase and gain margin. Determination of margins in Bode plot.
Nichols chart. M‐circle and M‐Contours in Nichols chart.
Control System performance measure: Improvement of system performance CO1,CO6
4 through compensation.
Lead, Lag and Lead‐ lag compensation, PI, PD and PID control.
Gaps in Syllabus:
Relevance to
Sl. No. Gap Action taken
POs
Introduction to Control system: A controller is a control Additional lecture classes were
system that manages the behavior of another device organized providing notes, and
or system. Compensator. A Compensator is a control by solving numerical problems. PO 2, PO 7
1 system that regulates another system, usually by conditioning
the input or the output to that system
Topics covered: Brief History of Automatic Control.
Frequency Response Analysis: The frequency response is a
representation of the system's response to sinusoidal inputs Additional lecture classes are
organized to cover the topics.
at varying frequencies. The output of a linear system to a
PO 2, PO 5
sinusoidal input is a sinusoid of the same frequency but with a
2 different magnitude and phase
Topics covered: Frequency Domain specifications from the
plots – Constant M and N Circles – Nichol’s Chart – Use of
Nichol’s Chart in Control
Feedback Control System Characteristics: A control system is These are emergent topics under
formed by interconnecting various components to give a application of drives, hence
additional classes were taken and
desired system response. An open‐loop or non‐feedback
3 notes were provided. PO 4, PO 5
system, with the help of a controller or actuating device,
directly generates the output in response to an input.
Topics covered: The Cost of Feedback
The Performance of Feedback Control Systems:
A feedback loop is a common and powerful tool when Extra class was arranged in a
designing a control system. Feedback loops take the workshop and notes provided
system output into consideration, which enables the and assignment given. PO1, PO 2
4
system to adjust its performance to meet a desired output
response.
Topics covered: Effects of a Third Pole and a Zero on the
Second‐Order System Response
Root Locus Method: In control theory and stability
theory, root locus analysis is a graphical method for
examining how the roots of a system change with variation of Assignment was given
5 PO 3, PO8
a certain system parameter, commonly a gain within a
feedback system.
Topics covered: Sensitivity and the Root Locus
6 Design of Feedback Control Systems:A feedback loop is a
common and powerful tool when designing a control
system. Feedback loops take thesystem output into Additional lecture classes are PO 3, PO 8
consideration, which enables thesystem to adjust its organized to cover the topics.
performance to meet a desired output response.
PO 7
Topics Covered: Approaches to System Design, Cascade
Compensation Networks, Phase-Lead Design Using the Bode
Diagram
Lecture Plan:
Cl. No. Date Topics Remarks
1 Concept of feedback and Automatic control, Effects of
feedback,Objectives of control system,
2 Examples of feedback control systems, transfer Problems to be
function concept. Pole and Zeroes of a transfer solved
function. Properties of Transfer function
3 Definition of linear and nonlinear systems, Elementary
concepts of sensitivity and robustness. Types of
control systems
4& 5 Block diagramrepresentation of control systems. Problems to be
Block diagram algebra. solved
6 Signal flow graph. Mason’s gain formula Problems to be
solved
7& 8 Translational systems, Rotational systems, Problems to be
Mechanicalcoupling, Electrical analogy of Spring– solved
Mass-Dashpot system.
9 Time domain analysis of a standard second order Problems to be
closed loop system solved
10 Concept of undamped natural frequency, damping, Problems to be
overshoot, rise time and settling time. solved
11 Dependence of timedomain performance parameters
on natural frequency and damping ratio.
12, 13& 14 Step and Impulse response of first and second order Problems to be
systems. solved
15 Effects of Pole and Zeros on transient response.
Stability by pole location.
16 & 17 Routh-Hurwitz criteria and applications. Problems to be
solved
18 Steady state errors in control systems due to step, Problems to be
ramp and parabolic inputs. solved
19 Concepts of system types and error constants. Problems to be
solved
20 Root locus techniques
21,22& 23 Construction of Root Loci for simple systems Problems to be
solved
21 Effects ofgain on the movement of Pole and Zeros
22, 23 Bode plots Problems to be
solved
24 & 25 Determination of margins in Bode plot Problems to be
solved
26& 27 Polar plots Problems to be
solved
28 Nyquist criteria,
29& 30 Measure of relative stability, phase andgain margin. Problems to be
solved
31 Nichols chart, Concept ofresonance frequency of peak Qualitative
magnification. Discussion
32 & 33 M-circle and M-Contours inNichols chart. Qualitative
Discussion
34 Improvement of system performance through
compensation.
35 & 36 Lead, Lag and Lead- lag compensation,
37 &38 PI, PD control
39 PID control
40 Servomechanisms and regulators, examples of Qualitative
Discussion
feedback control systems.
41 Potentiometer, Synchros, Resolvers, Position Qualitative
encoders. DC and ACtacho-generators. Actuators. Discussion
Block diagram level description of feedback control
systems for positioncontrol, speed control of DC
motors, temperature control, liquid level control,
voltage control of anAlternator.
Recommended Books:
1. Automatic Control Systems (With Matlab Programs), HASAN SAEED, S. K. Kataria&
Sons
2. Control systems, K.R. Varmah, McGraw hill
3. Control System Engineering, D. Roy Chowdhuri, PHI
4. Digital Control system, B.C. Kuo, Oxford University Press.
5. Control System Engineering, I. J. Nagrath& M. Gopal. New AgeInternational Publication
6. Modern Control Engineering, K. Ogata, 4th Edition, Pearson Education
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