1. ASL PAULS COLLEGE OF ENGINEERING AND TECHNOLOGY
COIMBATORE – 642 105
LESSON PLAN
Faculty Name : K RAVI Code : EE48
Subject Name : CONTROL SYSTEMS Code : EE2253
Year : II Semester : IV
Degree : B.E. Branch : E.E.E
Aim:
To provide sound knowledge in the basic concepts of linear control theory and design of
control systems.
Objectives:
i. To understand the methods of representation of systems and to desire their transfer
function models.
ii To provide adequate knowledge in the time response of systems and steady state error
analysis.
iii To accord basic knowledge in obtaining the open loop and closed–loop frequency
responses of systems.
iv To understand the concept of stability of control system and methods of stability analysis.
v To study the three ways of designing compensation for a control system.
Syllabus:
1. SYSTEMS AND THEIR REPRESENTATION 9
Basic elements in control systems – Open and closed loop systems – Electrical analogy of
mechanical and thermal systems – Transfer function – Synchros – AC and DC servomotors –
Block diagram reduction techniques – Signal flow graphs.
2. TIME RESPONSE 9
Time response – Time domain specifications – Types of test input – I and II order system
response – Error coefficients – Generalized error series – Steady state error – P, PI, PID
modes of feed back control.
3. FREQUENCY RESPONSE 9
Frequency response – Bode plot – Polar plot – Determination of closed loop response from
open loop response – Correlation between frequency domain and time domain
specifications.
4. STABILITY OF CONTROL SYSTEM 9
Characteristics equation – Location of roots in S plane for stability – Routh Hurwitz criterion
– Root locus construction – Effect of pole, zero addition – Gain margin and phase margin –
Nyquist stability criterion.
5. COMPENSATOR DESIGN 9
Performance criteria – Lag, lead and lag-lead networks – Compensator design using Bode
plots.

2. L = 45 T = 15 Total = 60
Text Book(s):
1. I.J. Nagrath and M. Gopal, ‘Control Systems Engineering’, New Age International Publishers,
Fourth Edition, 2005.
2. Benjamin C. Kuo, Automatic Control systems, Pearson Education, New Delhi, 2003.
Reference Book(s):
1. K. Ogata, ‘Modern Control Engineering’, 4th Edition, PHI, New Delhi, 2002.
2. Norman S. Nise, Control Systems Engineering, 4th Edition, John Wiley, New Delhi, 2007.
3. Samarajit Ghosh, Control systems, Pearson Education, New Delhi, 2004
4. M. Gopal, ‘Control Systems, Principles and Design’, Tata McGraw Hill, New Delhi, 2002.

3. Sl. T/R
Unit Topic(s) Page(s)
No. Book
1 Introduction to Control Systems Nagrath & Gopal 1-2
2 Systems, Control System Nagrath & Gopal 2-6
3 Open loop and feedback systems Nagrath & Gopal 2-6
4 Modeling of mech trans systems and TF Nagrath & Gopal 21-34
5 Modeling of mech rotational systems and TF Nagrath & Gopal 21-34
SYSTEMS AND THEIR REPRESENTATION
6 Transfer Function of electrical systems Nagrath & Gopal 34-35
7 Transfer Function of EM systems Nagrath & Gopal 46-54
8 F-V and F-I analogy of mechanical systems Nagrath & Gopal 35-36
T-V and T-I analogy of mechanical systems Nagrath & Gopal 35-36
9 Electrical analogy of Thermal systems Nagrath & Gopal 36-42
10
11 Tutorials - I Nagrath & Gopal 72-90
12 Transfer Function of AC / DC Servo Motors Nagrath & Gopal 135-141
13 Synchros Nagrath & Gopal 148-150
14 Block Diagram Representation Nagrath & Gopal 54-62
15 Rules for Block Diagram Reduction Nagrath & Gopal 54-62
UNIT – I
16 Tutorials - II Nagrath & Gopal 72-90
17 Tutorials - II Nagrath & Gopal 72-90
18 Signal Flow Graphs Nagrath & Gopal 62-72
19 Signal Flow Graphs and Mason’s Gain Formula Nagrath & Gopal 62-72
20 Tutorials - II Nagrath & Gopal 72-90
21 Tutorials - II Nagrath & Gopal 72-90
23 Introduction Nagrath & Gopal 193-194
Laplace Transformation Technique – Review
Standard Test signals Nagrath & Gopal 195-197
24
Concepts of poles, zeros, order, type, Nagrath & Gopal 197-199
25 Time response of first order systems
TIME RESPONSE
characteristic equation
26 Step response of second order systems Nagrath & Gopal 199-204
27 Ramp and Impulse response of second order Nagrath & Gopal 199-204
systems
Time Domain Specifications Nagrath & Gopal 204-210
28
29 Steady state error and static error coefficients Nagrath & Gopal 210-214
30 Generalised Error Co-efficients Nagrath & Gopal 214
UNIT – II
31 Tutorials - III Nagrath & Gopal 261-267
32 Controllers Nagrath & Gopal 215
33 P, PI modes of Feedback control Nagrath & Gopal 216-221
34 PID mode of Feedback control Nagrath & Gopal 221

4. 36 Bode Plot Concept Nagrath & Gopal 355-374
37 Bode Plot – Construction Nagrath & Gopal 355-374
FREQUENCY RESPONSE Frequency Response from Bode Plot Nagrath & Gopal 355-374
38
39 Bode Plot – Problem Solving Nagrath & Gopal 355-374
40 Polar plot Concept and Construction Nagrath & Gopal 352-355
41 Polar plot – Problem Solving Nagrath & Gopal 352-355
42 Tutorials - IV Nagrath & Gopal 374-376
43 Constant M and N circles Nagrath & Gopal 410-413
44 Nichols Chart Nagrath & Gopal 414-417
UNIT – III
45 Nichols Chart – Problem Solving Nagrath & Gopal 414-417
46 Determination of closed loop response from open Nagrath & Gopal 409-410
loop response of closed loop response from open
Determination Nagrath & Gopal 409-410
47
loop response
Correlation between frequency domain and time Nagrath & Gopal 347-352
48
domain specifications
Concepts of stability Nagrath & Gopal 269-278
50
UNIT- IV STABILITY OF CONTROL SYSTEM
51 Routh Hurwitz criterion Nagrath & Gopal 278-291
52 Tutorials - V Nagrath & Gopal 293-295
53 Root Locus Concept Nagrath & Gopal 297-320
54 Root Locus Rules Nagrath & Gopal 297-320
55 Root Locus – Problem Solving Nagrath & Gopal 297-320
56 Tutorials - V Nagrath & Gopal 340-343
57 Effect of Pole, Zero addition Nagrath & Gopal 297-320
58 Nyquist Stability Criterion Nagrath & Gopal 378-409
59 Nyquist Stability Criterion - Concepts Nagrath & Gopal 378-409
60 Nyquist stability Criterion. – Problem Solving Nagrath & Gopal 378-409
61 Tutorials - V Nagrath & Gopal 420-423
62 Performance Criteria. Nagrath & Gopal 425-427
UNIT-V COMPENSATOR DESIGN
63 Lag Network Nagrath & Gopal 437-439
64 Lag Compensator design using Bode Plot – Tutorial Nagrath & Gopal 466-470
65 Lead Network Nagrath & Gopal 435-437
Lead Compensator design using Bode Plot. – Nagrath & Gopal 460-466
66
Tutorial
67 Lag – Lead Network Nagrath & Gopal 439-440
68 Lag – Lead Compensator design using Bode Plot Nagrath & Gopal 470-475
69 Tutorials - VI Nagrath & Gopal 506-511
70 Revision -- --