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