,
, O N E w w
Introduction
ANSWERS TO REVIEW QUESTIONS w w w
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
w w w w w w w w w w
2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
w w w w w w w w w w w
3. Motor, low pass filter, inertia supported between two bearings
w w w w w w w w
4. Closed-loop systems compensate for disturbances by measuring the response, comparing it
w w w w w w w w w w
to the input response (the desired output), and then correcting the output response.
w w w w w w w w w w w w w
5. Under the condition that the feedback element is other than unity
w w w w w w w w w w
6. Actuating signal w
7. Multiple subsystems can time share the controller. Any adjustments to the controller
w w w w w w w w w w w
can be implemented with simply software changes.
w w w w w w w
8. Stability, transient response, and steady-state error
w w w w w
9. Steady-state, transient w
10. It follows a growing transient response until the steady-state response is no longer visible.
w w w w w w w w w w w w w
The system will either destroy itself, reach an equilibrium state because of saturation in
w w w w w w w w w w w w w w
w driving amplifiers, or hit limit stops.
w w w w w
11. Natural response w
12. Determine the transient response performance of the system.
w w w w w w w
13. Determine system parameters to meet the transient response specifications for the system.
w w w w w w w w w w w
14. True
15. Transfer function, state-space, differential equations
w w w w
16. Transfer function - the Laplace transform of the differential equation
w w w w w w w w w
State-space - representation of an nth order differential equation as n simultaneous first-order
w w w w w w w w w w w w
w differential equations w
Differential equation - Modeling a system with its differential equation
w w w w w w w w w
SOLUTIONS TO PROBLEMS w w
50 volts w
1. Five turns yields 50 v. Therefore K =
w w w w w w w = 1.59
5 x 2
w
w w
w rad
Copyright w © w w 2011 w by w John w Wiley w & w Sons,
w Inc.
, 1-2 Chapter 1:
w w
w Introduction
2.
Desired Temperature Voltage Actual
Fuel
wtemperatur wdifference difference
w
temperature
wflow w
e
+ w
Amplifier
w
Thermostat Heater
wand
- wvalves
3.
Desired Input Error Aileron Roll Roll
wroll wvoltag wvoltag wpositio wrat angl
w
wangl e e n e e
e +
control
s -
4.
Input
Speed
Desired wvoltag Actual
wError Motor
wspeed
e wspee
wvoltag wand
transducer Amplifier d
+ e wdrive
system
- Dancer
Dancer
wpositio
wdynamic
n
Voltage sensor s
proportiona
w
l
to wactual wspeed
Copyright w © w w 2011 w by w John w Wiley w & w Sons,
w Inc.
, O N E w w
Introduction
ANSWERS TO REVIEW QUESTIONS w w w
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
w w w w w w w w w w
2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
w w w w w w w w w w w
3. Motor, low pass filter, inertia supported between two bearings
w w w w w w w w
4. Closed-loop systems compensate for disturbances by measuring the response, comparing it
w w w w w w w w w w
to the input response (the desired output), and then correcting the output response.
w w w w w w w w w w w w w
5. Under the condition that the feedback element is other than unity
w w w w w w w w w w
6. Actuating signal w
7. Multiple subsystems can time share the controller. Any adjustments to the controller
w w w w w w w w w w w
can be implemented with simply software changes.
w w w w w w w
8. Stability, transient response, and steady-state error
w w w w w
9. Steady-state, transient w
10. It follows a growing transient response until the steady-state response is no longer visible.
w w w w w w w w w w w w w
The system will either destroy itself, reach an equilibrium state because of saturation in
w w w w w w w w w w w w w w
w driving amplifiers, or hit limit stops.
w w w w w
11. Natural response w
12. Determine the transient response performance of the system.
w w w w w w w
13. Determine system parameters to meet the transient response specifications for the system.
w w w w w w w w w w w
14. True
15. Transfer function, state-space, differential equations
w w w w
16. Transfer function - the Laplace transform of the differential equation
w w w w w w w w w
State-space - representation of an nth order differential equation as n simultaneous first-order
w w w w w w w w w w w w
w differential equations w
Differential equation - Modeling a system with its differential equation
w w w w w w w w w
SOLUTIONS TO PROBLEMS w w
50 volts w
1. Five turns yields 50 v. Therefore K =
w w w w w w w = 1.59
5 x 2
w
w w
w rad
Copyright w © w w 2011 w by w John w Wiley w & w Sons,
w Inc.
, 1-2 Chapter 1:
w w
w Introduction
2.
Desired Temperature Voltage Actual
Fuel
wtemperatur wdifference difference
w
temperature
wflow w
e
+ w
Amplifier
w
Thermostat Heater
wand
- wvalves
3.
Desired Input Error Aileron Roll Roll
wroll wvoltag wvoltag wpositio wrat angl
w
wangl e e n e e
e +
control
s -
4.
Input
Speed
Desired wvoltag Actual
wError Motor
wspeed
e wspee
wvoltag wand
transducer Amplifier d
+ e wdrive
system
- Dancer
Dancer
wpositio
wdynamic
n
Voltage sensor s
proportiona
w
l
to wactual wspeed
Copyright w © w w 2011 w by w John w Wiley w & w Sons,
w Inc.