, ONE Q Q
Introduction
ANSWERS TO REVIEW QUESTIONS Q Q Q
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
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2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
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3. Motor, low pass filter, inertia supported between two bearings
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4. Closed-
loop systems compensate for disturbances by measuring the response, comparing it to the input
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Q response (the desired output), and then correcting the output response.
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5. Under the condition that the feedback element is other than unity
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6. Actuating signal Q
7. Multiple subsystems can time share the controller. Any adjustments to the controller can b
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e implemented with simply software changes.
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8. Stability, transient response, and steady-state error
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9. Steady-state, transient Q
10. It follows a growing transient response until the steady-
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state response is no longer visible. The system will either destroy itself, reach an equilibrium stat
Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q
e because of saturation in driving amplifiers, or hit limit stops.
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11. Transient response Q
12. True
13. Transfer function, state-space, differential equations
Q Q Q Q
14. Transfer function - the Laplace transform of the differential equation
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State-space - representation of an nth order differential equation as n simultaneous first-
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order differential equations
Q Q
Differential equation - Modeling a system with its differential equation
Q Q Q Q Q Q Q Q Q
SOLUTIONS TO PROBLEMS Q Q
50 volts Q Q
1. Five turns yields 50 v. Therefore K = 1.59
5 x 2 rad
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= Q Q Q
,
, 2 Chapter 1: Introduction
Q
2.
DesiredQt Temperature VoltageQ ActualQtemperatur
FuelQflo
emperature Qdifference
difference e
w
Q
+ AmplifierQan
Thermostat Heater
dQvalves
-
3.
Desired InputQ ErrorQ Aileron Roll RollQ
QrollQa voltage voltage Qpositio Qrat angle
ngle n e
+
controls
-
4.
InputQ
Speed
Desired voltage Actual
QErrorQ MotorQa
Qspeed Qspee
+ voltage ndQdriv
transducer Amplifier e d
system
-
Dancer
DancerQ
positionQsen
VoltageQpr dynamics
sor
oportional
toQactualQspeed
5.
InputQ Power RodQ
voltage QErrorQ position
Desired voltage MotorQ Actual
power andQdri Qpowe
Transducer
+ Amplifier veQsyst Reactor r
em
-
SensorQ&Q
transducer
VoltageQpro
portional
toQactualQpower
Introduction
ANSWERS TO REVIEW QUESTIONS Q Q Q
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
Q Q Q Q Q Q Q Q Q Q
2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
Q Q Q Q Q Q Q Q Q Q Q
3. Motor, low pass filter, inertia supported between two bearings
Q Q Q Q Q Q Q Q
4. Closed-
loop systems compensate for disturbances by measuring the response, comparing it to the input
Q Q Q Q Q Q Q Q Q Q Q Q Q
Q response (the desired output), and then correcting the output response.
Q Q Q Q Q Q Q Q Q
5. Under the condition that the feedback element is other than unity
Q Q Q Q Q Q Q Q Q Q
6. Actuating signal Q
7. Multiple subsystems can time share the controller. Any adjustments to the controller can b
Q Q Q Q Q Q Q Q Q Q Q Q Q
e implemented with simply software changes.
Q Q Q Q Q
8. Stability, transient response, and steady-state error
Q Q Q Q Q
9. Steady-state, transient Q
10. It follows a growing transient response until the steady-
Q Q Q Q Q Q Q Q
state response is no longer visible. The system will either destroy itself, reach an equilibrium stat
Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q
e because of saturation in driving amplifiers, or hit limit stops.
Q Q Q Q Q Q Q Q Q Q
11. Transient response Q
12. True
13. Transfer function, state-space, differential equations
Q Q Q Q
14. Transfer function - the Laplace transform of the differential equation
Q Q Q Q Q Q Q Q Q
State-space - representation of an nth order differential equation as n simultaneous first-
Q Q Q Q Q Q Q Q Q Q Q Q
order differential equations
Q Q
Differential equation - Modeling a system with its differential equation
Q Q Q Q Q Q Q Q Q
SOLUTIONS TO PROBLEMS Q Q
50 volts Q Q
1. Five turns yields 50 v. Therefore K = 1.59
5 x 2 rad
Q Q Q Q Q Q Q Q
= Q Q Q
,
, 2 Chapter 1: Introduction
Q
2.
DesiredQt Temperature VoltageQ ActualQtemperatur
FuelQflo
emperature Qdifference
difference e
w
Q
+ AmplifierQan
Thermostat Heater
dQvalves
-
3.
Desired InputQ ErrorQ Aileron Roll RollQ
QrollQa voltage voltage Qpositio Qrat angle
ngle n e
+
controls
-
4.
InputQ
Speed
Desired voltage Actual
QErrorQ MotorQa
Qspeed Qspee
+ voltage ndQdriv
transducer Amplifier e d
system
-
Dancer
DancerQ
positionQsen
VoltageQpr dynamics
sor
oportional
toQactualQspeed
5.
InputQ Power RodQ
voltage QErrorQ position
Desired voltage MotorQ Actual
power andQdri Qpowe
Transducer
+ Amplifier veQsyst Reactor r
em
-
SensorQ&Q
transducer
VoltageQpro
portional
toQactualQpower