, O N E q y q y
Introduction
ANSWERS TO REVIEW QUESTIONS qy qy qy
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
qy qy qy qy qy qy qy qy qy qy
2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
qy qy qy qy qy qy qy qy qy qy qy
3. Motor, low pass filter, inertia supported between two bearings
qy qy qy qy qy qy qy qy
4. Closed-
loop systems compensate for disturbances by measuring the response, comparing it to the in
qy qy qy qy qy qy qy qy qy qy qy qy qy
put response (the desired output), and then correcting the output response.
qy qy qy qy qy qy qy qy qy qy
5. Under the condition that the feedback element is other than unity
qy qy qy qy qy qy qy qy qy qy
6. Actuating signal qy
7. Multiple subsystems can time share the controller. Any adjustments to the controller ca
qy qy qy qy qy qy qy qy qy qy qy qy
n be implemented with simply software changes.
qy qy qy qy qy qy
8. Stability, transient response, and steady-state error
qy qy qy qy qy
9. Steady-state, transient qy
10. It follows a growing transient response until the steady-
qy qy qy qy qy qy qy qy
state response is no longer visible. The system will either destroy itself, reach an equilibrium
qy qy qy qy qy qy qy qy qy qy qy qy qy qy q
state because of saturation in driving amplifiers, or hit limit stops.
y qy qy qy qy qy qy qy qy qy qy
11. Transient response qy
12. True
13. Transfer function, state-space, differential equations
qy qy qy qy
14. Transfer function - the Laplace transform of the differential equation
qy qy qy qy qy qy qy qy qy
State-space - representation of an nth order differential equation as n simultaneous first-
qy qy qy qy qy qy qy qy qy qy qy qy
order differential equations
qy qy
Differential equation - Modeling a system with its differential equation
qy qy qy qy qy qy qy qy qy
SOLUTIONS TO PROBLEMS qy qy
50 volts qy qy
1. Five turns yields 50 v. Therefore K = 1.59
5 x 2 rad
qy qy qy qy qy qy qy
= qy
qy qy qy
,
, 2 Chapter 1: qy Introductio
n
2.
Desiredqyt Temperature Voltageqy Actualqytemperatu
Fuelqyflo
emperature qydifference
difference re
w
qy
+ Amplifierqyan
Thermostat Heater
dqyvalves
-
3.
Desired Inputqy Errorqy Aileronq Roll Rollqy
qyrollqy voltage voltage positio
y qyrat angle
angle n e
+
controls
-
4.
Inputqy
Speed
Desired voltage Actual
Errorqy
qy Motorqya
qyspeed qyspee
+ voltage ndqydriv
transducer Amplifier e d
system
-
Dancer
Dancerqy
positionqyse
Voltageqypr dynamics
nsor
oportional
toqyactualqyspeed
5.
Inputq Power Rodqy
voltag
y Errorqy
qy
position
Desired e voltage Motorqy Actual
power andqydri qypow
Transducer
+ Amplifier veqysys Reactor er
tem
-
Sensorqy&q
ytransduce
Voltageqypr r
oportional
toqyactualqypower
Introduction
ANSWERS TO REVIEW QUESTIONS qy qy qy
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
qy qy qy qy qy qy qy qy qy qy
2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
qy qy qy qy qy qy qy qy qy qy qy
3. Motor, low pass filter, inertia supported between two bearings
qy qy qy qy qy qy qy qy
4. Closed-
loop systems compensate for disturbances by measuring the response, comparing it to the in
qy qy qy qy qy qy qy qy qy qy qy qy qy
put response (the desired output), and then correcting the output response.
qy qy qy qy qy qy qy qy qy qy
5. Under the condition that the feedback element is other than unity
qy qy qy qy qy qy qy qy qy qy
6. Actuating signal qy
7. Multiple subsystems can time share the controller. Any adjustments to the controller ca
qy qy qy qy qy qy qy qy qy qy qy qy
n be implemented with simply software changes.
qy qy qy qy qy qy
8. Stability, transient response, and steady-state error
qy qy qy qy qy
9. Steady-state, transient qy
10. It follows a growing transient response until the steady-
qy qy qy qy qy qy qy qy
state response is no longer visible. The system will either destroy itself, reach an equilibrium
qy qy qy qy qy qy qy qy qy qy qy qy qy qy q
state because of saturation in driving amplifiers, or hit limit stops.
y qy qy qy qy qy qy qy qy qy qy
11. Transient response qy
12. True
13. Transfer function, state-space, differential equations
qy qy qy qy
14. Transfer function - the Laplace transform of the differential equation
qy qy qy qy qy qy qy qy qy
State-space - representation of an nth order differential equation as n simultaneous first-
qy qy qy qy qy qy qy qy qy qy qy qy
order differential equations
qy qy
Differential equation - Modeling a system with its differential equation
qy qy qy qy qy qy qy qy qy
SOLUTIONS TO PROBLEMS qy qy
50 volts qy qy
1. Five turns yields 50 v. Therefore K = 1.59
5 x 2 rad
qy qy qy qy qy qy qy
= qy
qy qy qy
,
, 2 Chapter 1: qy Introductio
n
2.
Desiredqyt Temperature Voltageqy Actualqytemperatu
Fuelqyflo
emperature qydifference
difference re
w
qy
+ Amplifierqyan
Thermostat Heater
dqyvalves
-
3.
Desired Inputqy Errorqy Aileronq Roll Rollqy
qyrollqy voltage voltage positio
y qyrat angle
angle n e
+
controls
-
4.
Inputqy
Speed
Desired voltage Actual
Errorqy
qy Motorqya
qyspeed qyspee
+ voltage ndqydriv
transducer Amplifier e d
system
-
Dancer
Dancerqy
positionqyse
Voltageqypr dynamics
nsor
oportional
toqyactualqyspeed
5.
Inputq Power Rodqy
voltag
y Errorqy
qy
position
Desired e voltage Motorqy Actual
power andqydri qypow
Transducer
+ Amplifier veqysys Reactor er
tem
-
Sensorqy&q
ytransduce
Voltageqypr r
oportional
toqyactualqypower
