, O N E P ! P !
Introduction
ANSWERS TO REVIEW QUESTIONS P! P! P!
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
P! P! P! P! P! P! P! P! P! P!
2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
P! P! P! P! P! P! P! P! P! P! P!
3. Motor, low pass filter, inertia supported between two bearings
P! P! P! P! P! P! P! P!
4. Closed-
loop systems compensate for disturbances by measuring the response, comparing it to the inp
P! P! P! P! P! P! P! P! P! P! P! P! P!
ut response (the desired output), and then correcting the output response.
P! P! P! P! P! P! P! P! P! P!
5. Under the condition that the feedback element is other than unity
P! P! P! P! P! P! P! P! P! P!
6. Actuating signal P!
7. Multiple subsystems can time share the controller. Any adjustments to the controller can
P! P! P! P! P! P! P! P! P! P! P! P! P
! be implemented with simply software changes.
P! P! P! P! P!
8. Stability, transient response, and steady-state error
P! P! P! P! P!
9. Steady-state, transient P!
10. It follows a growing transient response until the steady-
P! P! P! P! P! P! P! P!
state response is no longer visible. The system will either destroy itself, reach an equilibrium s
P! P! P! P! P! P! P! P! P! P! P! P! P! P! P!
tate because of saturation in driving amplifiers, or hit limit stops.
P! P! P! P! P! P! P! P! P! P!
11. Transient response P!
12. True
13. Transfer function, state-space, differential equations
P! P! P! P!
14. Transfer function - the Laplace transform of the differential equation
P! P! P! P! P! P! P! P! P!
State-space - representation of an nth order differential equation as n simultaneous first-
P! P! P! P! P! P! P! P! P! P! P! P!
order differential equations
P! P!
Differential equation - Modeling a system with its differential equation
P! P! P! P! P! P! P! P! P!
SOLUTIONS TO PROBLEMS P! P!
50 volts P! P!
1. Five turns yields 50 v. Therefore K = 1.59
5 x 2 rad
P! P! P! P! P! P! P P!
= !
P! P! P!
,
, 2
P ! Chapter 1: P! P ! Introductio
n
2.
DesiredP!t Temperature VoltageP! ActualP!temperatu
FuelP!flo
emperature P!difference
difference re
w
P!
+ AmplifierP!an
Thermostat Heater
dP!valves
-
3.
Desired InputP! ErrorP! Aileron Roll RollP!
P!rollP!a voltage voltage positio
P! P!rat angle
ngle n e
+
controls
-
4.
InputP!
Speed
Desired voltage Actual
ErrorP!
P! MotorP!a
P!speed P!spee
+ voltage ndP!driv
transducer Amplifier e d
system
-
Dancer
DancerP!
positionP!sen
VoltageP!pr dynamics
sor
oportional
toP!actualP!speed
5.
InputP Power RodP!
voltag
! ErrorP!
P!
position
Desired e voltage MotorP! Actual
power andP!dri P!powe
Transducer
+ Amplifier veP!sys Reactor r
tem
-
SensorP!&P
!transduce
VoltageP!pro r
portional
toP!actualP!power
Introduction
ANSWERS TO REVIEW QUESTIONS P! P! P!
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
P! P! P! P! P! P! P! P! P! P!
2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
P! P! P! P! P! P! P! P! P! P! P!
3. Motor, low pass filter, inertia supported between two bearings
P! P! P! P! P! P! P! P!
4. Closed-
loop systems compensate for disturbances by measuring the response, comparing it to the inp
P! P! P! P! P! P! P! P! P! P! P! P! P!
ut response (the desired output), and then correcting the output response.
P! P! P! P! P! P! P! P! P! P!
5. Under the condition that the feedback element is other than unity
P! P! P! P! P! P! P! P! P! P!
6. Actuating signal P!
7. Multiple subsystems can time share the controller. Any adjustments to the controller can
P! P! P! P! P! P! P! P! P! P! P! P! P
! be implemented with simply software changes.
P! P! P! P! P!
8. Stability, transient response, and steady-state error
P! P! P! P! P!
9. Steady-state, transient P!
10. It follows a growing transient response until the steady-
P! P! P! P! P! P! P! P!
state response is no longer visible. The system will either destroy itself, reach an equilibrium s
P! P! P! P! P! P! P! P! P! P! P! P! P! P! P!
tate because of saturation in driving amplifiers, or hit limit stops.
P! P! P! P! P! P! P! P! P! P!
11. Transient response P!
12. True
13. Transfer function, state-space, differential equations
P! P! P! P!
14. Transfer function - the Laplace transform of the differential equation
P! P! P! P! P! P! P! P! P!
State-space - representation of an nth order differential equation as n simultaneous first-
P! P! P! P! P! P! P! P! P! P! P! P!
order differential equations
P! P!
Differential equation - Modeling a system with its differential equation
P! P! P! P! P! P! P! P! P!
SOLUTIONS TO PROBLEMS P! P!
50 volts P! P!
1. Five turns yields 50 v. Therefore K = 1.59
5 x 2 rad
P! P! P! P! P! P! P P!
= !
P! P! P!
,
, 2
P ! Chapter 1: P! P ! Introductio
n
2.
DesiredP!t Temperature VoltageP! ActualP!temperatu
FuelP!flo
emperature P!difference
difference re
w
P!
+ AmplifierP!an
Thermostat Heater
dP!valves
-
3.
Desired InputP! ErrorP! Aileron Roll RollP!
P!rollP!a voltage voltage positio
P! P!rat angle
ngle n e
+
controls
-
4.
InputP!
Speed
Desired voltage Actual
ErrorP!
P! MotorP!a
P!speed P!spee
+ voltage ndP!driv
transducer Amplifier e d
system
-
Dancer
DancerP!
positionP!sen
VoltageP!pr dynamics
sor
oportional
toP!actualP!speed
5.
InputP Power RodP!
voltag
! ErrorP!
P!
position
Desired e voltage MotorP! Actual
power andP!dri P!powe
Transducer
+ Amplifier veP!sys Reactor r
tem
-
SensorP!&P
!transduce
VoltageP!pro r
portional
toP!actualP!power
