, Introduction
ANSWERS TO REVIEW QUESTIONS bokixx bokixx bokixx
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
3. Motor, low pass filter, inertia supported between two bearings
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
4. Closed-loop systems compensate for disturbances by measuring the
bokixx bokixx bokixx bokixx bokixx bokixx bokixx
bokixxresponse, comparing it tothe input response (the desired output), and
bokixx bokixx bokixx bokix bokixx bokixx bokixx bokixx bokixx bokixx
bokixx then correcting the output response.
bokixx bokixx bokixx bokixx
5. Under the condition that the feedback element is other than unity
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
6. Actuating signal bokixx
7. Multiple subsystems bokixx bokixx can time share the controller. Any adjustments
bokixx bokixx bokixx bokixx bokixx bokixx
bokixx to the controller can beimplemented with simply software changes.
bokixx bokixx bokixx bokixx bokix bokixx bokixx bokixx bokixx
8. Stability, transient response, and steady-state error
bokixx bokixx bokixx bokixx bokixx
9. Steady-state, transient bokixx
10. It bokixx follows a growing transient response until the steady-state response
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
bokixx is no longer visible. Thesystem will either destroy itself, reach an
bokixx bokixx bokixx bokixx bokix bokixx bokixx bokixx bokixx bokixx bokixx
bokixx equilibrium state because of saturation in driving amplifiers, or hit
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
bokixx limit stops. bokixx
11. Natural response bokixx
12. Determine the transient response performance of the system.
bokixx bokixx bokixx bokixx bokixx bokixx bokixx
13. Determine system parameters to meet the transient response specifications for the
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
system.
bokixx
14. True
15. Transfer function, state-space, differential equations
bokixx bokixx bokixx bokixx
16. Transfer function - the Laplace transform of the differential equation
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
State-space - representation of an nth order differential equation as
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
bokixx n simultaneous first-orderdifferential equations
bokixx bokixx bokix bokixx
Differential equation - Modeling a system with its differential equation
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
SOLUTIONS TO PROBLEMS bokixx bokixx
50
volts
bokixx = 1.59
bokixx
1. Five turns yields 50 v. Therefore K
bokixx bokixx bokixx bokixx bokixx bokixx
=
bokixx
5 x 2 bokixx bokixx bokixx
rad
b o k i x x
,1-2 b o k i x x Chapter 1: bokixx b o k i x x Introduction
2.
Desired Temperatur Voltage Actual
Fuelxflo o
kib
tempera
boki xx exdifferenc
o
kib
differe
boki xx
tempera
w boki xx
ture e nce ture
Amplifier
bokixx
Heater
+ bokixx
andval
bokixx o
kixb
bokixx
Thermostat ves
-
3.
Desire Input Error Aileronx
o
kib Rol Roll
dxroll o
kib volt
boki xx volt
boki xx positio lxrat
o
kib an
boki xx
angle age age n e gle
bokixx bokixx boki xx bokixx b
kixxboki xx
o
boki xx Pilot boki xx
+
bokixx
bokixx
bokixx
boki xx
Aircraft
Integrate
controls
bokixx
boki xx
Aile dyna
boki xx
mics
- ron xpos o
kib
ition xco o
kib
ntrol
Gyro
Gyro xxvoltageboki
4.
Input
Spee
Desire volt
boki xx
Actua
dError
kix
o
b Motor
d age and lspee
transducer
volt
boki xx
bokixx kix
o
b
spee Amplifier drive d
boki xx
+ age bokixx
d system
-
Dancer o
kixb
Dancer
position
Voltage sensor dynami
bokixx
proporti boki xx
cs
onal
to actual speed
bokixx bokixx
, 1-3 b o k i x x Solutions to Problems
bokixx bokixx
5.
Input Powe Rod
xxvolt
boki
rxError
o
kib
posi
boki xx
Desire xxvolt Motor tion Actua
age boki
d + age andbokixx lxpow
o
kib
xxpow
Transducer Amplifier
boki driv
bokixx Reactor er
er - e
syst
bokixx
em
Sensor
&
bokixx
transdu
bokixx
cer
Voltage
proporti
boki xx
onal
to xxactual xxpower
boki boki
6.
Graduatin
gxand o
kib
drop-
outrx o
kib
Desire Actual
Desire ate
Populatio dxstud
o
kib
Actual xxstu
boki
d n dent
ent Net
xxrate
boki
student error rate student - of
xxinflu
boki
population
x
Administration
population + Admissions rate bokixx boki xx boki xx b o k i x x + bokixx
Integrate
-
7.
Voltage Voltage
proporti
boki xx
xxrepresenting
boki
onal Volum actual xxvolume Actual
Desire boki
volume
d to x x desired
boki exerror
o
kib
volume Volume
volume + bokixx
o
kixb
Radio
control
Transducer circuit
bokixx
-
Effective
boki xx volume
+ boki xx
Voltage
-
xxproporti
boki
onalxto o
kib
xxspeed
boki
ANSWERS TO REVIEW QUESTIONS bokixx bokixx bokixx
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
3. Motor, low pass filter, inertia supported between two bearings
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
4. Closed-loop systems compensate for disturbances by measuring the
bokixx bokixx bokixx bokixx bokixx bokixx bokixx
bokixxresponse, comparing it tothe input response (the desired output), and
bokixx bokixx bokixx bokix bokixx bokixx bokixx bokixx bokixx bokixx
bokixx then correcting the output response.
bokixx bokixx bokixx bokixx
5. Under the condition that the feedback element is other than unity
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
6. Actuating signal bokixx
7. Multiple subsystems bokixx bokixx can time share the controller. Any adjustments
bokixx bokixx bokixx bokixx bokixx bokixx
bokixx to the controller can beimplemented with simply software changes.
bokixx bokixx bokixx bokixx bokix bokixx bokixx bokixx bokixx
8. Stability, transient response, and steady-state error
bokixx bokixx bokixx bokixx bokixx
9. Steady-state, transient bokixx
10. It bokixx follows a growing transient response until the steady-state response
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
bokixx is no longer visible. Thesystem will either destroy itself, reach an
bokixx bokixx bokixx bokixx bokix bokixx bokixx bokixx bokixx bokixx bokixx
bokixx equilibrium state because of saturation in driving amplifiers, or hit
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
bokixx limit stops. bokixx
11. Natural response bokixx
12. Determine the transient response performance of the system.
bokixx bokixx bokixx bokixx bokixx bokixx bokixx
13. Determine system parameters to meet the transient response specifications for the
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
system.
bokixx
14. True
15. Transfer function, state-space, differential equations
bokixx bokixx bokixx bokixx
16. Transfer function - the Laplace transform of the differential equation
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
State-space - representation of an nth order differential equation as
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
bokixx n simultaneous first-orderdifferential equations
bokixx bokixx bokix bokixx
Differential equation - Modeling a system with its differential equation
bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx bokixx
SOLUTIONS TO PROBLEMS bokixx bokixx
50
volts
bokixx = 1.59
bokixx
1. Five turns yields 50 v. Therefore K
bokixx bokixx bokixx bokixx bokixx bokixx
=
bokixx
5 x 2 bokixx bokixx bokixx
rad
b o k i x x
,1-2 b o k i x x Chapter 1: bokixx b o k i x x Introduction
2.
Desired Temperatur Voltage Actual
Fuelxflo o
kib
tempera
boki xx exdifferenc
o
kib
differe
boki xx
tempera
w boki xx
ture e nce ture
Amplifier
bokixx
Heater
+ bokixx
andval
bokixx o
kixb
bokixx
Thermostat ves
-
3.
Desire Input Error Aileronx
o
kib Rol Roll
dxroll o
kib volt
boki xx volt
boki xx positio lxrat
o
kib an
boki xx
angle age age n e gle
bokixx bokixx boki xx bokixx b
kixxboki xx
o
boki xx Pilot boki xx
+
bokixx
bokixx
bokixx
boki xx
Aircraft
Integrate
controls
bokixx
boki xx
Aile dyna
boki xx
mics
- ron xpos o
kib
ition xco o
kib
ntrol
Gyro
Gyro xxvoltageboki
4.
Input
Spee
Desire volt
boki xx
Actua
dError
kix
o
b Motor
d age and lspee
transducer
volt
boki xx
bokixx kix
o
b
spee Amplifier drive d
boki xx
+ age bokixx
d system
-
Dancer o
kixb
Dancer
position
Voltage sensor dynami
bokixx
proporti boki xx
cs
onal
to actual speed
bokixx bokixx
, 1-3 b o k i x x Solutions to Problems
bokixx bokixx
5.
Input Powe Rod
xxvolt
boki
rxError
o
kib
posi
boki xx
Desire xxvolt Motor tion Actua
age boki
d + age andbokixx lxpow
o
kib
xxpow
Transducer Amplifier
boki driv
bokixx Reactor er
er - e
syst
bokixx
em
Sensor
&
bokixx
transdu
bokixx
cer
Voltage
proporti
boki xx
onal
to xxactual xxpower
boki boki
6.
Graduatin
gxand o
kib
drop-
outrx o
kib
Desire Actual
Desire ate
Populatio dxstud
o
kib
Actual xxstu
boki
d n dent
ent Net
xxrate
boki
student error rate student - of
xxinflu
boki
population
x
Administration
population + Admissions rate bokixx boki xx boki xx b o k i x x + bokixx
Integrate
-
7.
Voltage Voltage
proporti
boki xx
xxrepresenting
boki
onal Volum actual xxvolume Actual
Desire boki
volume
d to x x desired
boki exerror
o
kib
volume Volume
volume + bokixx
o
kixb
Radio
control
Transducer circuit
bokixx
-
Effective
boki xx volume
+ boki xx
Voltage
-
xxproporti
boki
onalxto o
kib
xxspeed
boki
