02-07-2024
Mr.R.A.NAIK, ASSOC.PROF, DEPT OF EEE
1
LINEAR CONTROL SYSTEM (20EE81)
By
R.ANJANEYULU NAIK ASSOC.PROF
DEPT OF EEE,LBRCE,
02-07-2024
Mr.R.A.NAIK, ASSOC.PROF, DEPT OF EEE
2
July 14 marks the one-year anniversary
3
Whether LCS is a part
of AEROSPACE OR
NOT?
LINEAR CONTROL SYSTEM
(LCS)
4
5
Steam flow
TURBINES
Steam Temp, Steam Flow Velocity,
6
PITOT TUBE is device to measure aircraft
speed.
7
8
Autopilot…..
9
Automatic Flight Control System
10
several sensors for various tasks like speed control,
height monitoring, position tracking, status of doors,
obstacle detection, fuel level etc…
11
Before Controlling, Measure the
parameters….SENSOR
12
13
14
Control Examples
• At home
• Washing machines
• Microwave cookers
• Video recorders
• Remote control television
• Central heating systems
• Alarm system
15
Control Examples
• Outside the home
• Traffic light systems
• Car park barriers
• Remote controlled car
16
Control Examples
• At work
• Air conditioning systems
• Lifts
• Automatic doors
• Factory robots
Autonomous planning and
Exploration
17
Autonomous control
18
…….…Everywhere
…….…Everywhere
19
POWER PLANTS
WATER LEVEL
TEMPERATURE
FUEL FLOW
STEAM FLOW
TURBINE SPEEED
STEAM PRESSURE
20
IMPORTANCE OF CS
Control engineering is not limited to any engineering
discipline but is equally applicable to:
aeronautical,
chemical,
mechanical,
computer science and engineering ,
civil engineering,
electrical,electronics engineering etc…..
Control Systems 21
What are the contents and
teaching of the course?
CEOs
What are the abilities after
completion of the course?
COs
22
UNIT Course Content
1 MM: INTRODUCTION: MATHEMATICAL
MODELLING OF CONTROL SYSTEMS
2 TRA-1:Time Response analysis TRA-I
3 TRA-2:Time Response analysis TRA -II
4 FRA:FREQUENCY RESPONSE ANALYSIS FRA
5 SSA: STATE SPACE ANALYSIS SSA OF
CONTINUOUS SYSTEMS
23
BOOKS:
B. C. Kuo 24
25
26
27
UNIT-1
INTRODUCTION: MATHEMATICAL MODELLING OF
CONTROL SYSTEMS
28
IMP TOPICS
1. Open Loop system and closed loop
system, their examples.-3Q
2. MATHEMATICAL MODELLING MM :
LINEAR AND ROTATIONAL-2Q
1. BLOCK DIAGRAM REDUCTION BDR
METHOD -2Q
2. SIGNAL FLOW GRAPH SFG TECHNIQUE -
2Q
29
30
WATER LEVEL
CONTROL SYSTEM
31
32
What is Linear?
Output follows the input. 33
Whis is Linear?
34
35
What is Control System?
36
37
38
What is Control System?
• System – An interconnection / arrangement of
elements/ devices in sequence manner.
• Control :To regulate, To direct, To command…It is a
desired quantity…
Control Systems 39
Control System: Arrangement of elements
in a sequence manner to get desired
value by Regulating or command or
direct.
40
Traffic Control System: Arrangement of
LEDs in a sequence manner to control the
traffic by giving commands.
SPEAKER &
AMPLIFIER
41
Types of Control Systems:
1.Openloop Control Systems
OLCS
2.Closed Loop Control Systems
CLCS
a.Manual Control
b.Automatic Control
42
When the amplifier circuit uses the
Feedback ( as a sensor signal), then it is called feedback
amplifier.
43
Can we control any desire level?
Any person is controlling?
SYSTEM
44
If a System control any desire level or
reach the target, its comes under
CLCS.
45
When the amplifier circuit uses the
Feedback ( as a sensor signal), then it is called feedback
amplifier.
OPEN LOOP AND CLOSED LOOP
46
MAIN BUILDINGS BLOCKS OF
CLOSED LOOP SYSTEM
47
MAIN BUILDINGS BLOCKS OF
OPEN LOOP SYSTEM
48
49
Hair Dryer & Hand dryer
Open loop or Closed loop?
50
Target/Set Point: To dry the Hair.
Time based or not.
Time based mean OLCS..
If Hair will be dry, automatically off…it is CLCS
51
Time based or not.
Time based mean OLCS.
CLCS:Suited to target and not time based.
52
Traffic Signal & Traffic Police
Open loop or Closed loop?
53
SYSTEM2
50CM
54
Chalk Board
Target: To erase the Board with Hand
Can you identify the name of the Process, SP,
SENSOR,CONTROLLER, ACTUATOR
SYSTEM4
55
Chalk Board
Target: To erase the Board with Duster
Can you identify the name of the Process, SP,
SENSOR,CONTROLLER, ACTUATOR
56
Coffee Machine: Open Loop or Closed Loop?
150 ml
250 ml
SYSTEM7
57
CAP S
58
59
(a) Block diagram or Elements of Open-Loop
Control System
60
Controller: A device is used to control the process and sent signals to a
final control element (control valve or an electric motor) .Here there is no
control action, because of absence of Feedback element
Actuator / Final Control Element (FCE) : A device that receives
signal from the controller to directly influence the
Process mean which is physically influence the process and here
their no influence on the process.
Process: The specific quantity that can be measure. Examples: pressure,
level, temperature, flow, pH, position, speed, vibration.
Elements of Open Loop Control
system
61
(a) Feedback Control System and
(b) Open-Loop Control System
(a)
(b)
62
63
Transfer function of Closed Loop
Control System (negative Feedback)
64
negative Feedback
Positive Feedback
Open-Loop Control System
and All predefined Timer devices
65
Example for
Open-Loop Control System
and Traffic Signals
66
Open-loop control systems
Examples
􀁹 Washing machine
Traffic signals
67
Open-loop control systems
Advantage:
1.Simple construction and ease of
maintenance.
2.Less expensive than a closed-loop system.
3.No stability problem.
Dis-adv:
1.Recalibration is necessary from time to time.
2.Sensitive to disturbances,
3.Less accurate. 68
Closed loop Control System
• Manual control
• Automatic control (involving machines only).
69
Sensor
Actuator Process
Controller
+
Set-point
or
Referenc
e input
Actual
Outpu
t
Error
Controlle
d Signal
Feedback Signal
+
-
Elements or Basic Building
Of Control System
Manipulate
d Variable
Summing
point
70
Controller: A device that receives a process variable
(PV) signal from sensor, then compares that signal
to the desired value (SP), and calculates an appropriate
signal value depending upon Controller modes and sent to a final
control element such as control valve or an electric motor .
Final Control Element (FCE)/Actuator: A device that receives
signal from the controller to directly influence the
Process mean which is physically influence the process.
Examples: control valve, electric heater etc..
Process: The specific quantity that can be measure. Examples: pressure,
level, temperature, flow, pH, position, speed, vibration.
Elements of Closed Loop Control
system
71
Sensor: It sense the physical quantity
and Convert into electrical signal with help of
transmitter.
Example: Level into electrical signal
Temperature into electrical signal
72
OPEN LOOP Vs CLOSED LOOP
73
SET POINT
74
Identify controller, actuator, process and sensor?
75
Main advantages of feedback
system/CLCS:
❖Reduce disturbance effects
❖Stabilize an unstable system
❖Create well-defined relationship between output
and set point
76
Compare b/n OLCS and CLCS
Can you identify adv and dis-adv of OLCS and CLCS?
77
Traffic Signal Vs
Traffic Police
78
Control Systems 79
COMPUTER CONTROL OR AUTOMATIC CONTROL
Multivariable Control System
80
Mathematical Modeling
Types of Physical Systems
1.Translational or Linear Mechanical System
2. Rotational Mechanical System
81
Mechanical Systems
Translational
• Mass
• Spring
• Damper/dashpot
Rotational
• Inertia
• Damper
• Spring
82
Basic Types of Mechanical Systems
• Translational
• Linear Motion
• Rotational
• Rotational Motion
83
Building Linear Mechanical Blocks
• Mathematical model of a machine
mounted on the ground
Mass
Ground
Input, force
Output, displacement
84
SPRING
CONSTANT
K
Damper
CONSTANT C
Building Rotational Mechanical
Blocks
• Mathematical model of a rotating
a mass
Torque
Moment of inertia
Torsional resistance
Shaft
Physical situation
Block model
85
86
Translational or Linear
Mechanical System
Basic Elements of Physical System:
1.Spring 2.Mass 3.Damper
87
Why damping is required?
88
Q.Obtain Transfer function for
given Physical System
89
90
relation between displacement
velocity and acceleration
91
92
Building Linear Mechanical Blocks
93
STEPS TO OBTAIN TF by using Mathematical Modeling
Differential Equation Method:
STEP1: Draw FBD.
STEP2: Write Differential Equation
STEP3: Apply the Laplace Transform
STEP4: Simplify and get relation output/input X(s)/F(s).
94
95

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