ANSWERS TO REVIEW QUESTIONS kx
ix kixx kixx
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
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2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
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3. Motor, low pass filter, inertia supported between two bearings
kixx kixx kixx kixx kixx kixx kixx kixx
4. Closed-loop systems compensate for disturbances by measuring the response,
kixx kixx kixx kixx kixx kixx kixx kixx
kixxcomparing it tothe input response (the desired output), and then correcting
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kixxthe output response.
kixx kixx
5. Under the condition that the feedback element is other than unity
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6. Actuating signal kixx
7. Multiple subsystems can time share the controller. Any adjustments to
kixx kixx kixx kixx kixx kixx kixx kixx kixx
kixx the controller can beimplemented with simply software changes.
kixx kixx kixx kix kixx kixx kixx kixx
8. Stability, transient response, and steady-state error
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9. Steady-state, transient kixx
10. It follows a growing transient response until the steady-state response is no
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kixx longer visible. Thesystem will either destroy itself, reach an equilibrium state
kixx kixx kix kixx kixx kixx kixx kixx kixx kixx kixx
kixx because of saturation in driving amplifiers, or hit limit stops.
kixx kixx kixx kixx kixx kixx kixx kixx kixx
11. Natural response kixx
12. Determine the transient response performance of the system.
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13. Determine system parameters to meet the transient response specifications for the system.
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14. True
15. Transfer function, state-space, differential equations
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16. Transfer function - the Laplace transform of the differential equation
kixx kixx kixx kixx kixx kixx kixx kixx kixx
State-space - representation of an nth order differential equation as n
kixx kixx kixx kixx kixx kixx kixx kixx kixx kixx
kixx simultaneous first-orderdifferential equations kixx kix kixx
Differential equation - Modeling a system with its differential equation
kixx kixx kixx kixx kixx kixx kixx kixx kixx
SOLUTIONS TO PROBLEMS kixx kixx
50
volts kixx = 1.59 kixx
1. Five turns yields 50 v. Therefore K =
5 x
kixx kixx kixx kixx ki xx kixx kixx
2 kixx kixx kixx
rad k i x x
,1-2 k i x x Chapter 1: kixx k i x x Introduction
2.
Desired Temperatur Voltage Actual
Fuelxflo ki
temperat
ki xx exdifferenc
ki
differe
ki xx
temperat
w ki xx
ure e nce ure
Amplifier
kixx
Heater
+ kixx
andvalv
kixx kix
kixx
Thermostat es
-
3.
Desire Input Error Aileronx
ki Rol Roll
dxroll
ki volta
ki xx volta
ki xx positio lxrat
ki xxan
ki
angle ge ge n e gle
kixx kixx ki xx ki xxkixxki xx kixx ki xx ki xx
ki xx Pilot ki xx
+
kixx
k i xx
Ailer Aircraft
Integrate
controls dynam
ki xx
kixx
on xposi ki
ics
- tion xco ki
ntrol
Gyro
Gyro xxvoltage ki
4.
Input
Spee
Desire volta
ki xx
Actua
dError
kix Motor
d ge and lspee
transducer
volta
ki xx
kixx kix
spee Amplifier drive d
kixx
+ ge kixx
d system
-
Dancer kix
Dancer
position
Voltage sensor kixxdynamic
proportio
ki xx
s
nal
to actual speed
kixx kixx
, 1-3 k i x x Solutions to Problems
kixx kixx
5.
Input Powe Rod
xxvolta
ki
rxError
ki
positi
ki xx
Desire xxvolta Motor on Actua
ge ki
d + ge and
kixx lxpow
ki
xxpow
Transducer Amplifier
ki drive
kixx Reactor er
er - syste
kixx
m
Sensor & kixx
transduc
kixx
er
Voltage
proportio
ki xx
nal
to xxactual xxpower
ki ki
6.
Graduatin
gxand ki
drop-
outrx ki
Desire Actual
Desire ate
Populatio dxstud
ki
Actual xxstud
ki
d n ent
ent Net
xxrate
ki
student error rate student - of
xxinflux
ki
population
population + Administration Admissions
rate kixx ki xx kixx k i x x + kixx
Integrate
-
7.
Voltage Voltage
xxproportio
ki
xxrepresenting
ki
nal Volum actual xxvolume Actual
Desire ki
volume
d to x x desired
ki exerror
ki
volume Volume
volume + kixx
kix
Radio
control
Transducer circuit
kixx
-
Effective
kixx volume
+ kixx
Voltage
-
xxproportio
ki
nalxto ki
xxspeed
ki