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 -
ME 380
Chapter 1 HW
January 20, 2012
Chapter 1 HW Assignment & Hints (due Mon., January 23, 2012)
Review Questions.
Please answer the following Review Questions:
1, 2, 4, 8, 9, 14, 15.
These should be
ME 380
Chapter 1 HW
January 23, 2012
Chapter 1 HW Solution
Review Questions.
1. Name three applications for feedback control systems.
1. Elevator
2. Robot vehicle or manipulator arm
3. Spacecraft
2. N
ME 380
Chapter 2 HW
February 3, 2012
ME 380 Chapter 2 HW Solution
Review Questions.
1. What mathematical model permits easy interconnection of physical sysems? The transfer function
model.
3. What tra
ME 380
Chapter 3 HW
February 13, 2012
Chapter 3 HW Solution
Problem 19. Consider a DC motor driving a load through a gear train:
bL
The specications for the Pittman 7214 DC motor (taken from the manuf
ME 380
Chapter 4 HW
February 27, 2012
Chapter 4 HW Solution
Review Questions.
1. Name the performance specication for rst order systems. Time constant .
2. What does the performance specication for a
ME 380
Chapter 5 HW
March 9, 2012
Chapter 5 HW Solution
Review Questions. 1, 6. As usual, I think these are just a matter of text lookup.
1. Name the four components of a block diagram for a linear, t
ME 380
Chapter 7 HW
April 1, 2012
Chapter 7 HW Assignment & Hints
Review Questions. 1, 3, 4, 5, 9. As usual, I think these are just a matter of text lookup.
Problem 2. (a) The steady-state error can b
ME 380
Chapter 7 HW
April 4, 2012
Chapter 7 HW Solution
Review Questions.
1. Name two sources of steady-state errors.
1. System conguration (TYPE too low)
2. Type of applied input (ramp, parabolic, et
ME 380
Chapter 7 HW
April 15, 2012
Chapter 8 HW Assignment & Hints (complete)
Review Questions. 1, 4, 5, 7. As usual, I think these are just a matter of text lookup.
Problems. 1abegh, 2abc, 8, 30 41,
T H I R T E E N
Digital Control Systems
SOLUTIONS TO CASE STUDIES CHALLENGES
Antenna Control: Transient Design via Gain
a. From the answer to the antenna control challenge in Chapter 5, the equivalent
T W E L V E
Design via State Space
SOLUTION TO CASE STUDY CHALLENGE
Antenna Control: Design of Controller and Observer
a. We first draw the signal-flow diagram of the plant using the physical variable
T H R E E
Modeling in the Time Domain
SOLUTIONS TO CASE STUDIES CHALLENGES
Antenna Control: State-Space Representation
. Ea(s) 150 For the power amplifier, V (s) = s+150 . Taking the inverse Laplace t
F O U R
Time Response
SOLUTIONS TO CASE STUDIES CHALLENGES
Antenna Control: Open-Loop Response
The forward transfer function for angular velocity is, 0(s) 24 G(s) = V (s) = (s+150)(s+1.32) P a. 0(t) =
F I V E
Reduction of Multiple Subsystems
SOLUTIONS TO CASE STUDIES CHALLENGES
Antenna Control: Designing a Closed-Loop Response
a. Drawing the block diagram of the system:
Pots
Pre amp
Power amp
Motor
S I X
Stability
SOLUTIONS TO CASE STUDIES CHALLENGES
Antenna Control: Stability Design via Gain
From the antenna control challenge of Chapter 5, 76.39K T(s) = 3 s +151.32s2+198s+76.39K Make a Routh ta
S E V E N
Steady-State Errors
SOLUTIONS TO CASE STUDIES CHALLENGES
Antenna Control: Steady-State Error Design via Gain
76.39K a. G(s) = s(s+150)(s+1.32) . System is Type 1. Step input: e() = 0; Ramp i
E I G H T
Root Locus Techniques
SOLUTIONS TO CASE STUDIES CHALLENGES
Antenna Control: Transient Design via Gain
a. From the Chapter 5 Case Study Challenge: 76.39K G(s) = s(s+150)(s+1.32) 1 Since Ts =
N I N E
Design via Root Locus
SOLUTIONS TO CASE STUDIES CHALLENGES
Antenna Control: Lag-Lead Compensation
76.39K a. Uncompensated: From the Chapter 8 Case Study Challenge, G(s) = s(s+150)(s+1.32) = 71
T E N
Frequency Response Techniques
SOLUTION TO CASE STUDY CHALLENGE
Antenna Control: Stability Design and Transient Performance
First find the forward transfer function, G(s). Pot: K1 = Preamp: K Pow
E L E V E N
Design via Frequency Response
SOLUTIONS TO CASE STUDIES CHALLENGES
Antenna Control: Gain Design
a. The required phase margin for 25% overshoot ( = 0.404), found from Eq. (10.73), is 43.49o
ME 380
Chapter 8 HW
April 23, 2012
Chapter 8 HW Solution
Review Questions.
1. What is a root locus? A plot of the possible closed-loop pole locations as some parameter varies from 0 to .
4. Do the zer