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Illustrations
In this chapter we describe a general process for designing a control system.
A control system consisting of interconnected components is designed to achieve a
desired purpose. To understand the purpose of a control system, it is useful to
examine examples of control systems through the course of history. These early
systems incorporated many of the same ideas of feedback that are in use today.
Modern control engineering practice includes the use of control design strategies for
improving manufacturing processes, the efficiency of energy use, advanced
automobile control, including rapid transit, among others.
We also discuss the notion of a design gap. The gap exists between the complex
physical system under investigation and the model used in the control system
synthesis.
The iterative nature of design allows us to handle the design gap effectively while
accomplishing necessary tradeoffs in complexity, performance, and cost in order to
meet the design specifications.
Chapter 1: Introduction to Control Systems
Objectives
Illustrations
Course Synopsis
• Provides a background of control principles in
various engineering applications. Basic
mathematical tools such as Laplace transform,
transfer function, block diagram, signal flow
graph, mathematical modeling of dynamic
systems, time response analysis, stability of linear
system, root locus and frequency domain analysis
are utilized.
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Course Outcomes (CO)
 CO1
 Ability to apply various mathematical principles (from calculus and
linear algebra) to solve control system problems.
 CO2
 Ability to obtain mathematical models for such mechanical, electrical
and electromechanical systems.
 CO3
 Ability to derive equivalent differential equation, transfer function and
state space model for a given system.
 CO4
 The ability to perform system’s time and frequency-domain analysis
with response to test inputs. Analysis includes the determination of the
system stability.
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System – An interconnection of elements and devices for a desired purpose.
Control System – An interconnection of components forming a system
configuration that will provide a desired response.
Process – The device, plant, or system
under control. The input and output
relationship represents the cause-and-
effect relationship of the process.
Illustrations
• The interaction is defined in terms of variables.
i. System input
ii. System output
iii. Environmental disturbances
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Control System
• Control is the process of causing a system variable to conform
to some desired value.
• Manual control Automatic control (involving machines
only).
• A control system is an interconnection of components forming
a system configuration that will provide a desired system
response.
Control
System
Output
Signal
Input
Signal
Energy
Source
Illustrations
Multivariable Control System
Open-Loop Control Systems
utilize a controller or control
actuator to obtain the desired
response.
Closed-Loop Control
Systems utilizes feedback to
compare the actual output to
the desired output response.
Illustrations
Control System Classification
Open-Loop Control System
Missile Launcher System
Illustrations
Control System Classification
Closed-Loop Feedback Control System
Missile Launcher System
Illustrations
Manual Vs Automatic Control
• Control is a process of causing a system variable such as
temperature or position to conform to some desired value or
trajectory, called reference value or trajectory.
• For example, driving a car implies controlling the vehicle to
follow the desired path to arrive safely at a planned destination.
i. If you are driving the car yourself, you are performing manual control of
the car.
ii. If you use design a machine, or use a computer to do it, then you have
built an automatic control system.
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Control System Classification
Desired
Output
Response
Measurement
Output
Variables
Controller Process
Multi Input Multi Output (MIMO) System
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Purpose of Control Systems
i. Power Amplification (Gain)
– Positioning of a large radar antenna by low-power rotation of a
knob
i. Remote Control
– Robotic arm used to pick up radioactive materials
i. Convenience of Input Form
– Changing room temperature by thermostat position
iv. Compensation for Disturbances
– Controlling antenna position in the presence of large wind
disturbance torque
Illustrations
Historical Developments
i. Ancient Greece (1 to 300 BC)
– Water float regulation, water clock, automatic oil lamp
i. Cornellis Drebbel (17th
century)
– Temperature control
i. James Watt (18th
century)
– Flyball governor
i. Late 19th
to mid 20th
century
– Modern control theory
Illustrations
Watt’s Fly ball Governor
Illustrations
Human System
The Vetruvian Man
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Human System
i. Pancreas
 Regulates blood glucose level
i. Adrenaline
 Automatically generated to increase the heart rate and oxygen in
times of flight
i. Eye
 Follow moving object
i. Hand
 Pick up an object and place it at a predetermined location
i. Temperature
 Regulated temperature of 36°C to 37°C
Illustrations
History
18th Century James Watt’s centrifugal governor for the speed control of a steam
engine.
1920s Minorsky worked on automatic controllers for steering ships.
1930s Nyquist developed a method for analyzing the stability of controlled systems
1940s Frequency response methods made it possible to design linear closed-loop
control systems
1950s Root-locus method due to Evans was fully developed
1960s State space methods, optimal control, adaptive control and
1980s Learning controls are begun to investigated and developed.
Present and on-going research fields. Recent application of modern control theory
includes such non-engineering systems such as biological, biomedical, economic and
socio-economic systems
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Illustrations
Control System Components
i. System, plant or process
– To be controlled
i. Actuators
– Converts the control signal to a power signal
i. Sensors
– Provides measurement of the system output
i. Reference input
– Represents the desired output
Illustrations
General Control System
SensorSensor
ActuatorActuator ProcessProcessControllerController ++
Set-point
or
Reference
input
Actual
Output
Error
Controlled
Signal
Disturbance
Manipulated
Variable
Feedback Signal
+
-
+
+
Illustrations
Control System Design Process
If the performance does not
meet specifications, then
iterate the configuration
and actuator
Illustrations
Illustrations
(a) Automobile steering
control system.
(b) The driver uses the
difference between the
actual and the desired
direction of travel
to generate a controlled
adjustment of the
steering wheel.
(c) Typical direction-
of-travel response.
Examples of Modern Control Systems
Illustrations
Examples of Modern Control Systems
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Examples of Modern Control Systems
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Examples of Modern Control Systems
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Examples of Modern Control Systems
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Examples of Modern Control Systems
Illustrations
Examples of Modern Control Systems
Illustrations
Examples of Modern Control Systems
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Examples of Modern Control Systems
Illustrations
The Future of Control Systems
Illustrations
The Future of Control Systems
Illustrations
Design Example
Illustrations
ELECTRIC SHIP CONCEPT
Ship
Service
Power
Main Power
Distribution
Propulsion
Motor
Motor
Drive
Generator
Prime
Mover
Power
Conversion
Module
 Electric Drive
 Reduce # of Prime
Movers
 Fuel savings
 Reduced maintenance
 Technology
Insertion
 Warfighting
Capabilities
VisionVision
IntegratedIntegrated
PowerPower
SystemSystem
IntegratedIntegrated
PowerPower
SystemSystem
AllAll
ElectricElectric
ShipShip
AllAll
ElectricElectric
ShipShip
ElectricallyElectrically
ReconfigurableReconfigurable
ShipShip
ElectricallyElectrically
ReconfigurableReconfigurable
ShipShip
 Reduced manning
 Automation
 Eliminate auxiliary
systems (steam,
hydraulics, compressed
air)
Increasing Affordability and Military Capability
Design Example
Illustrations
CVN(X) FUTURE AIRCRAFT CARRIER
Design Example
Illustrations
Design Example
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Design Example
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Design Example
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Design Example
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Illustrations
Illustrations
Design Example
Illustrations
Design Example
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Sequential Design Example
Illustrations
Illustrations
Sequential Design Example
Illustrations
Illustrations

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Introduction to control systems