Control Systems Engineering 4th Edition Solutions Manual PDF

O N E u . u .




Introduction
ANSWERS TO REVIEW QUESTIONS
u. u. u.



1. Guided u.missiles, u.automatic u.gain u.control u.in u.radio u.receivers, u.satellite u.tracking u.antenna
2. Yes u.- u.power u.gain, u.remote u.control, u.parameter u.conversion; u.No u.- u.Expense, u.complexity
3. Motor, u.low u.pass u.filter, u.inertia u.supported u.between u.two u.bearings
4. Closed-loop u.systems u.compensate u.for u.disturbances u.by u.measuring u.the u.response,
comparing u.it u.to u.the u.input u.response u.(the u.desired u.output), u.and u.then u.correcting u.the u.output
u.


response.
u.


5. Under u.the u.condition u.that u.the u.feedback u.element u.is u.other u.than u.unity
6. Actuating u.signal
7. Multiple u.subsystems u.can u.time u.share u.the u.controller. u.Any u.adjustments u.to u.the u.controller
can u.be u.implemented u.with u.simply u.software u.changes.
u.


8. Stability, u.transient u.response, u.and u.steady-state u.error
9. Steady-state, u.transient
10. It u.follows u.a u.growing u.transient u.response u.until u.the u.steady-state u.response u.is u.no u.longer
visible. u.The u.system u.will u.either u.destroy u.itself, u.reach u.an u.equilibrium u.state u.because u.of
u.


saturation u.in u.driving u.amplifiers, u.or u.hit u.limit u.stops.
u.


11. Transient u.response
12. True
13. Transfer u.function, u.state-space, u.differential u.equations
14. Transfer u.function u.- u.the u.Laplace u.transform u.of u.the u.differential u.equation
State-space u.- u.representation u.of u.an u.nth u.order u.differential u.equation u.as u.n u.simultaneous u.first-
order u.differential u.equations
Differential u.equation u.- u.Modeling u.a u.system u.with u.its u.differential u.equation



SOLUTIONS TO PROBLEMS
u. u.



50 u.volts
1. Five u.turns u.yields u.50 u.v. u.Therefore = u.1.59
u.5 u.x u.2 
u.K u.=

u.rad

,2 u .Chapter u.1:
u . Introduction



2.


Desired Temperature Voltage Actual
Fuel
u.temperatur u.difference u.differenc
u.flow u.temperature
e e
+ Amplifier
u.
Thermostat Heater
u.and

- u. valves




3.


Desired Input Error Aileron Roll Roll
u.roll u.voltag u. voltag u.positio u.rat u.angl

u.angl e e n e e
e +
control
s -




4.
Input
Speed
Desired voltag
u.
Actual
u.Error Motor
u.speed
e u.spee
u.voltag u.and
transducer e Amplifier d
+ u.drive

system
- Dancer
Dancer
position
dynamic
u.
u.sensor
Voltage s
proportion
u.

al
to u.actual u.speed

5.

Input Power Rod
u.Error u.positio
u.voltag
Desired e u.voltag Motor n Actual
power e u.and u.pow
+ Amplifier
Transducer u.drive Reactor er
u.syste
-
m

Sensor u.&
u.transduc

Voltage er
u.proportion

al
to u.actual u.power

, Solutions u.to u.Problems u .

3




6.
Graduating
u. and

drop-out
u.rate
Desired Actual
Desired Population u.stude Actual Net u.stude
u.rate
nt nt
student error rate student - of population
u.population
+ rate u . u. + u.influx
Administration Admissions Integrate

-



7.
Voltage Voltage
proportion
u. u.representing
al Volume actual u.volume Actual
Desired to u.desired volume
u.error
volume Volume
volume + Radio
u.control
Transducer u.circuit
-
Effective
volume
+
Voltage
- u.proportiona

l u.to u.speed

Transducer
-

Speed

, 4 u .Chapter u.1:
u . Introduction

8.

a.
Fluid u.input




amplifier
+V
Differential Desired
R u . level
-V


R
Float -V

Tank
Drain


b.
Flow Actual
voltage u.level
Desired u.rate
u.in
u.level u. in
+
Potentiometer Amplifiers Actuator + Integrate
u.and u. valve
-
-




Drain
Flow
u.rate
u.out




Displacement
voltage
Potentiometer Float
u.out