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. 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
50 Volts
1. Five Turns Yields 50 V. Therefore = 1.59
K= 5 X 2
Rad
,2 Chapter 1: Introduction
2.
Desired Tem peratur Voltage Actual
Fuel
Temperatur e Differenc Tem perature
Flow
e Difference e
+ Amplifier and
Thermostat Heater
valves
-
3.
Desire Input Error Ailero Roll Roll
d Roll Voltag Voltag n Rat Angl
Angl e e Positio e e
e + n
controls
-
4.
Input
Spee
Desire Voltag Actua
d Motor
d e l
Error and
Speed transducer Voltag Amplifier Spee
+ drive
e system d
- Dancer
Dancer
position
dynamics
sensor
Voltage
Proportion
al
To Actual Speed
5.
Input Pow e Rod
Voltag r Error Positio
Desired e Voltag Motor n Actua
pow er e and l
+ Amplifier
Transducer drive Reactor Pow e
system r
-
Sensor &
transducer
Voltage
Proportion
al
,To Actual Pow er Solutions to Problems 3
, 4 Chapter 1: Introduction
6.
Graduating
And
Drop-Out
Rate
Desire Actual
Desire Population d Actual Net Studen
d Studen Rate
t
t
Student Error Rate Student - Of Population
Population + Rate + Influx
Administration Integrate
Admissions
-
7.
Voltage Voltage
Proportion Representing
al Volum Actual Volum e Actual
Desired Volum e
To Desired e
Volum e Error Volume
+ Radio
Volum e control circuit
Transducer
-
Effective
+
Volum e
Voltage
- Proportion
al To
Speed
Transducer
-
Speed
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
50 Volts
1. Five Turns Yields 50 V. Therefore = 1.59
K= 5 X 2
Rad
,2 Chapter 1: Introduction
2.
Desired Tem peratur Voltage Actual
Fuel
Temperatur e Differenc Tem perature
Flow
e Difference e
+ Amplifier and
Thermostat Heater
valves
-
3.
Desire Input Error Ailero Roll Roll
d Roll Voltag Voltag n Rat Angl
Angl e e Positio e e
e + n
controls
-
4.
Input
Spee
Desire Voltag Actua
d Motor
d e l
Error and
Speed transducer Voltag Amplifier Spee
+ drive
e system d
- Dancer
Dancer
position
dynamics
sensor
Voltage
Proportion
al
To Actual Speed
5.
Input Pow e Rod
Voltag r Error Positio
Desired e Voltag Motor n Actua
pow er e and l
+ Amplifier
Transducer drive Reactor Pow e
system r
-
Sensor &
transducer
Voltage
Proportion
al
,To Actual Pow er Solutions to Problems 3
, 4 Chapter 1: Introduction
6.
Graduating
And
Drop-Out
Rate
Desire Actual
Desire Population d Actual Net Studen
d Studen Rate
t
t
Student Error Rate Student - Of Population
Population + Rate + Influx
Administration Integrate
Admissions
-
7.
Voltage Voltage
Proportion Representing
al Volum Actual Volum e Actual
Desired Volum e
To Desired e
Volum e Error Volume
+ Radio
Volum e control circuit
Transducer
-
Effective
+
Volum e
Voltage
- Proportion
al To
Speed
Transducer
-
Speed
