Control Systems Engineering by Nise Solution Manual.pdf

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Introduction
ANSWERS TO REVIEW QUESTIONS
1.
Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
2.
Yes - power gain, remote control, parameter conversion; No - Expense, complexity
3.
Motor, low pass filter, inertia supported between two bearings
4.
Closed-loop systems compensate for disturbances by measuring the response, comparing it to
the input response (the desired output), and then correcting the output response.
5.
Under the condition that the feedback element is other than unity
6.
Actuating signal
7.
Multiple subsystems can time share the controller. Any adjustments to the controller can be
implemented with simply software changes.
8.
Stability, transient response, and steady-state error
9.
Steady-state, transient
10.
It follows a growing transient response until the steady-state response is no longer visible. The
system will either destroy itself, reach an equilibrium state because of saturation in driving
amplifiers, or hit limit stops.
11.
Transient response
12.
True
13.
Transfer function, state-space, differential equations
14.
Transfer function - the Laplace transform of the differential equation
State-space - representation of an nth order differential equation as n simultaneous first-order
differential equations
Differential equation - Modeling a system with its differential equation
SOLUTIONS TO PROBLEMS
1.
Five turns yields 50 v. Therefore K =
50 volts
= 1.59
5 x 2
π
rad
2 Chapter 1: Introduction
2.
Desired
temperature
Temperature
difference
Voltage
difference
Fuel
flow
Actual
temperature
Heater
+
Thermostat
Amplifier and
valves
-
3.
Desired
roll
angle
Input
voltage
Error
voltage
Aileron
position
control
Aileron
position
Aircraft
dynamics
Roll
rate
Integrate
Roll
angle
Pilot
controls
+
-
Gyro voltage
Gyro
4.
Desired
speed
transducer
Input
voltage
+
-
Speed
Error
voltage
Amplifier
Motor
and
drive
system
Dancer
dynamics
Actual
speed
Voltage
proportional
to actual speed
Dancer
position
sensor
5.
Input
voltage
Desired
power
Transducer
Power
Error
voltage
Amplifier
Rod
position
+
-
Motor
and
drive
system
Actual
power
Reactor
Voltage
proportional
to actual power
Sensor &
transducer
Solutions to Problems 3
6.
Graduating
and
drop-out
rate
Actual
student
rate
Admissions
Desired
student
population
Population
error
Desired
student
rate
Administration
-
+
Net rate
of influx
Integrate
Actual
student
population
+
-
7.
Voltage
proportional
to desired
volume
Voltage
representing
actual volume
Volume
control circuit
Radio
Desired
volume
Transducer
+
Volume
error
Actual
volume
-
Effective
volume
+
-
Voltage
proportional
to speed
Transducer
-
Speed
4 Chapter 1: Introduction
8.
a.
Fluid input
Valve
Actuator
Power
amplifier
+V
Differential
amplifier
+
-
+V
-V
R
Desired
level
R
Float
Tank
-V
Drain
b.
Desired
level
Potentiometer
voltage
in
+
Amplifiers
-
Flow
rate in
+
Integrate
-
Actual
level
Actuator
and valve
Drain
Flow
rate out
Displacement
Potentiometer
Float
voltage
out
Solutions to Problems 5
9.
Desired
force
Transducer
+
Amplifier
-
Current
Valve
Displacement
Actuator
and load
Displacement
Tire
Actual
force
Load cell
10.
Commanded
blood pressure
+
Vaporizer
-
Isoflurane
concentration
Patient
Actual
blood
pressure
11.
Desired
depth
+
-
Controller
&
motor
Force
Grinder
Feed rate
Integrator
Depth
12.
Desired
position
Coil
voltage
+
Transducer
-
Coil
circuit
Coil
current
Solenoid coil
& actuator
Force
Armature
&
spool dynamics
Depth
LVDT
13.
a.
L
di
+ Ri = u(t)
dt

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