O N E
R i R i
, Introduction
ANSWERS TO REVIEW QUESTIONS Ri Ri Ri
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
3. Motor, low pass filter, inertia supported between two bearings
Ri Ri Ri Ri Ri Ri Ri Ri
4. Closed-
loop systems compensate for disturbances by measuring the response, comparing it to the in
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
put response (the desired output), and then correcting the output response.
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
5. Under the condition that the feedback element is other than unity
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
6. Actuating signal Ri
7. Multiple subsystems can time share the controller. Any adjustments to the controller can
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
be implemented with simply software changes.
Ri Ri Ri Ri Ri Ri
8. Stability, transient response, and steady-state error
Ri Ri Ri Ri Ri
9. Steady-state, transient Ri
10. It follows a growing transient response until the steady-
Ri Ri Ri Ri Ri Ri Ri Ri
state response is no longer visible. The system will either destroy itself, reach an equilibrium
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
state because of saturation in driving amplifiers, or hit limit stops.
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
11. Transient response Ri
12. True
13. Transfer function, state-space, differential equations
Ri Ri Ri Ri
14. Transfer function - the Laplace transform of the differential equation
Ri Ri Ri Ri Ri Ri Ri Ri Ri
State-space - representation of an nth order differential equation as n simultaneous first-
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
order differential equations
Ri Ri
Differential equation - Modeling a system with its differential equation
Ri Ri Ri Ri Ri Ri Ri Ri Ri
SOLUTIONS TO PROBLEMS Ri Ri
50 volts Ri Ri
1. Five turns yields 50 v. Therefore K = 1.59
5 x 2 rad
Ri Ri Ri Ri Ri Ri Ri
=Ri
Ri Ri Ri
,
, 2 Chapter 1: Ri Introductio
n
2.
DesiredRit Temperature VoltageRi ActualRitemperatu
FuelRiflo
emperature Ridifference
difference re
w
Ri
+ AmplifierRian
Thermostat Heater
dRivalves
-
3.
Desired InputRi ErrorRi Aileron Roll RollRi
RirollRia voltage voltage positio
Ri Rirat angle
ngle n e
+
controls
-
4.
InputRi
Speed
Desired voltage Actual
ErrorRi
Ri MotorRia
Rispeed Rispee
+ voltage ndRidriv
transducer Amplifier e d
system
-
Dancer
DancerRi
positionRisen
VoltageRipr dynamics
sor
oportional
toRiactualRispeed
5.
InputR Power RodRi
voltag
i ErrorRi
Ri
position
Desired e voltage MotorRi Actual
power andRidri Ripowe
Transducer
+ Amplifier veRisys Reactor r
tem
-
SensorRi&R
itransducer
VoltageRipro
portional
toRiactualRipower
R i R i
, Introduction
ANSWERS TO REVIEW QUESTIONS Ri Ri Ri
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
3. Motor, low pass filter, inertia supported between two bearings
Ri Ri Ri Ri Ri Ri Ri Ri
4. Closed-
loop systems compensate for disturbances by measuring the response, comparing it to the in
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
put response (the desired output), and then correcting the output response.
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
5. Under the condition that the feedback element is other than unity
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
6. Actuating signal Ri
7. Multiple subsystems can time share the controller. Any adjustments to the controller can
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
be implemented with simply software changes.
Ri Ri Ri Ri Ri Ri
8. Stability, transient response, and steady-state error
Ri Ri Ri Ri Ri
9. Steady-state, transient Ri
10. It follows a growing transient response until the steady-
Ri Ri Ri Ri Ri Ri Ri Ri
state response is no longer visible. The system will either destroy itself, reach an equilibrium
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
state because of saturation in driving amplifiers, or hit limit stops.
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
11. Transient response Ri
12. True
13. Transfer function, state-space, differential equations
Ri Ri Ri Ri
14. Transfer function - the Laplace transform of the differential equation
Ri Ri Ri Ri Ri Ri Ri Ri Ri
State-space - representation of an nth order differential equation as n simultaneous first-
Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri Ri
order differential equations
Ri Ri
Differential equation - Modeling a system with its differential equation
Ri Ri Ri Ri Ri Ri Ri Ri Ri
SOLUTIONS TO PROBLEMS Ri Ri
50 volts Ri Ri
1. Five turns yields 50 v. Therefore K = 1.59
5 x 2 rad
Ri Ri Ri Ri Ri Ri Ri
=Ri
Ri Ri Ri
,
, 2 Chapter 1: Ri Introductio
n
2.
DesiredRit Temperature VoltageRi ActualRitemperatu
FuelRiflo
emperature Ridifference
difference re
w
Ri
+ AmplifierRian
Thermostat Heater
dRivalves
-
3.
Desired InputRi ErrorRi Aileron Roll RollRi
RirollRia voltage voltage positio
Ri Rirat angle
ngle n e
+
controls
-
4.
InputRi
Speed
Desired voltage Actual
ErrorRi
Ri MotorRia
Rispeed Rispee
+ voltage ndRidriv
transducer Amplifier e d
system
-
Dancer
DancerRi
positionRisen
VoltageRipr dynamics
sor
oportional
toRiactualRispeed
5.
InputR Power RodRi
voltag
i ErrorRi
Ri
position
Desired e voltage MotorRi Actual
power andRidri Ripowe
Transducer
+ Amplifier veRisys Reactor r
tem
-
SensorRi&R
itransducer
VoltageRipro
portional
toRiactualRipower