O N E
m i m i
, Introduction
ANSWERS TO REVIEW QUESTIONS mi mi mi
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
mi mi mi mi mi mi mi mi mi mi
2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
mi mi mi mi mi mi mi mi mi mi mi
3. Motor, low pass filter, inertia supported between two bearings
mi mi mi mi mi mi mi mi
4. Closed-
loop systems compensate for disturbances by measuring the response, comparing it to the i
mi mi mi mi mi mi mi mi mi mi mi mi mi
nput response (the desired output), and then correcting the output response.
mi mi mi mi mi mi mi mi mi mi
5. Under the condition that the feedback element is other than unity
mi mi mi mi mi mi mi mi mi mi
6. Actuating signal mi
7. Multiple subsystems can time share the controller. Any adjustments to the controller c
mi mi mi mi mi mi mi mi mi mi mi mi
an be implemented with simply software changes.
mi mi mi mi mi mi
8. Stability, transient response, and steady-state error
mi mi mi mi mi
9. Steady-state, transient mi
10. It follows a growing transient response until the steady-
mi mi mi mi mi mi mi mi
state response is no longer visible. The system will either destroy itself, reach an equilibrium
mi mi mi mi mi mi mi mi mi mi mi mi mi mi
mi state because of saturation in driving amplifiers, or hit limit stops.
mi mi mi mi mi mi mi mi mi mi
11. Transient response mi
12. True
13. Transfer function, state-space, differential equations
mi mi mi mi
14. Transfer function - the Laplace transform of the differential equation
mi mi mi mi mi mi mi mi mi
State-space - representation of an nth order differential equation as n simultaneous first-
mi mi mi mi mi mi mi mi mi mi mi mi
order differential equations
mi mi
Differential equation - Modeling a system with its differential equation
mi mi mi mi mi mi mi mi mi
SOLUTIONS TO PROBLEMS mi mi
50 volts mi mi
1. Five turns yields 50 v. Therefore = 1.59
5 x 2 rad
mi mi mi mi mi mi mi
K = mi
mi mi mi
,
, 2 Chapter 1: mi Introductio
n
2.
Desiredmit Temperature Voltagemi Actualmitemperatu
Fuelmiflo
emperature midifference
difference re
w
mi
+ Amplifiermian
Thermostat Heater
dmivalves
-
3.
Desired Inputmi Errormi Aileron Roll Rollmi
mirollmi voltage voltage positio
mi mirat angle
angle n e
+
controls
-
4.
Inputmi
Speed
Desired voltage Actual
Errormi
mi Motormia
mispeed mispee
+ voltage ndmidriv
transducer Amplifier e d
system
-
Dancer
Dancermi
positionmise
Voltagemipr dynamics
nsor
oportional
tomiactualmispeed
5.
Inputm Power Rodmi
voltag
i Errormi
mi
position
Desired e voltage Motormi Actual
power andmidri mipow
Transducer
+ Amplifier vemisys Reactor er
tem
-
Sensormi&
mitransduc
Voltagemipr er
oportional
tomiactualmipower
m i m i
, Introduction
ANSWERS TO REVIEW QUESTIONS mi mi mi
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
mi mi mi mi mi mi mi mi mi mi
2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
mi mi mi mi mi mi mi mi mi mi mi
3. Motor, low pass filter, inertia supported between two bearings
mi mi mi mi mi mi mi mi
4. Closed-
loop systems compensate for disturbances by measuring the response, comparing it to the i
mi mi mi mi mi mi mi mi mi mi mi mi mi
nput response (the desired output), and then correcting the output response.
mi mi mi mi mi mi mi mi mi mi
5. Under the condition that the feedback element is other than unity
mi mi mi mi mi mi mi mi mi mi
6. Actuating signal mi
7. Multiple subsystems can time share the controller. Any adjustments to the controller c
mi mi mi mi mi mi mi mi mi mi mi mi
an be implemented with simply software changes.
mi mi mi mi mi mi
8. Stability, transient response, and steady-state error
mi mi mi mi mi
9. Steady-state, transient mi
10. It follows a growing transient response until the steady-
mi mi mi mi mi mi mi mi
state response is no longer visible. The system will either destroy itself, reach an equilibrium
mi mi mi mi mi mi mi mi mi mi mi mi mi mi
mi state because of saturation in driving amplifiers, or hit limit stops.
mi mi mi mi mi mi mi mi mi mi
11. Transient response mi
12. True
13. Transfer function, state-space, differential equations
mi mi mi mi
14. Transfer function - the Laplace transform of the differential equation
mi mi mi mi mi mi mi mi mi
State-space - representation of an nth order differential equation as n simultaneous first-
mi mi mi mi mi mi mi mi mi mi mi mi
order differential equations
mi mi
Differential equation - Modeling a system with its differential equation
mi mi mi mi mi mi mi mi mi
SOLUTIONS TO PROBLEMS mi mi
50 volts mi mi
1. Five turns yields 50 v. Therefore = 1.59
5 x 2 rad
mi mi mi mi mi mi mi
K = mi
mi mi mi
,
, 2 Chapter 1: mi Introductio
n
2.
Desiredmit Temperature Voltagemi Actualmitemperatu
Fuelmiflo
emperature midifference
difference re
w
mi
+ Amplifiermian
Thermostat Heater
dmivalves
-
3.
Desired Inputmi Errormi Aileron Roll Rollmi
mirollmi voltage voltage positio
mi mirat angle
angle n e
+
controls
-
4.
Inputmi
Speed
Desired voltage Actual
Errormi
mi Motormia
mispeed mispee
+ voltage ndmidriv
transducer Amplifier e d
system
-
Dancer
Dancermi
positionmise
Voltagemipr dynamics
nsor
oportional
tomiactualmispeed
5.
Inputm Power Rodmi
voltag
i Errormi
mi
position
Desired e voltage Motormi Actual
power andmidri mipow
Transducer
+ Amplifier vemisys Reactor er
tem
-
Sensormi&
mitransduc
Voltagemipr er
oportional
tomiactualmipower
