All Chapters Covered
SOLUTION MANUAL
, O N E
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. Natural response
12. Determine the transient response performance of the system.
13. Determine system parameters to meet the transient response specifications for the system.
14. True
15. Transfer function, state-space, differential equations
16. 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
50 volts
1. Five turns yields 50 v. Therefore K = = 1.59
5 x 2 rad
Copyright © 2011 by John Wiley & Sons, Inc.
,1-2 Chapter 1: Introduction
2.
Desired Temperature Voltage Actual
Fuel
temperature difference difference temperature
flow
+ Amplifier and
Thermostat Heater
valves
-
3.
Desired Input Error Aileron Roll Roll
roll voltage voltage position rate angle
angle
+
controls
-
4.
Input
Speed
Desired voltage Actual
Error Motor
speed speed
transducer
+ voltage and
Amplifier drive
system
-
Dancer
Dancer
position
Voltage dynamics
sensor
proportional
to actual speed
Copyright © 2011 by John Wiley & Sons, Inc.
, 1-3 Solutions to Problems
5.
Input Power Rod
voltage Error position
Desired voltage Motor Actual
power and power
+ Amplifier
Transducer drive Reactor
system
-
Sensor &
Voltage transducer
proportional
to actual power
6.
Graduating
and
drop-out
rate
Desired Actual
Desired Population student Actual Net rate student
student error rate student - of influx population
population + rate +
Administration Admissions Integrate
-
7.
Voltage Voltage
proportional representing
to desired Volume actual volume Actual
Desired volume volume
error
volume + Volume
Transducer Radio
control circuit
-
Effective
volume
+
Voltage
- proportional
to speed
Transducer
-
Speed
Copyright © 2011 by John Wiley & Sons, Inc.
SOLUTION MANUAL
, O N E
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. Natural response
12. Determine the transient response performance of the system.
13. Determine system parameters to meet the transient response specifications for the system.
14. True
15. Transfer function, state-space, differential equations
16. 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
50 volts
1. Five turns yields 50 v. Therefore K = = 1.59
5 x 2 rad
Copyright © 2011 by John Wiley & Sons, Inc.
,1-2 Chapter 1: Introduction
2.
Desired Temperature Voltage Actual
Fuel
temperature difference difference temperature
flow
+ Amplifier and
Thermostat Heater
valves
-
3.
Desired Input Error Aileron Roll Roll
roll voltage voltage position rate angle
angle
+
controls
-
4.
Input
Speed
Desired voltage Actual
Error Motor
speed speed
transducer
+ voltage and
Amplifier drive
system
-
Dancer
Dancer
position
Voltage dynamics
sensor
proportional
to actual speed
Copyright © 2011 by John Wiley & Sons, Inc.
, 1-3 Solutions to Problems
5.
Input Power Rod
voltage Error position
Desired voltage Motor Actual
power and power
+ Amplifier
Transducer drive Reactor
system
-
Sensor &
Voltage transducer
proportional
to actual power
6.
Graduating
and
drop-out
rate
Desired Actual
Desired Population student Actual Net rate student
student error rate student - of influx population
population + rate +
Administration Admissions Integrate
-
7.
Voltage Voltage
proportional representing
to desired Volume actual volume Actual
Desired volume volume
error
volume + Volume
Transducer Radio
control circuit
-
Effective
volume
+
Voltage
- proportional
to speed
Transducer
-
Speed
Copyright © 2011 by John Wiley & Sons, Inc.
