This preview shows pages 1–3. Sign up to view the full content.
ECE 147A FEEDBACK CONTROL SYSTEMS  THEORY AND DESIGN F01
Midterm Exam
Closed book and notes. No calculators. Show all work.
Name:
Solution
Problem 1:
/10
Problem 2:
/20
Problem 3:
/20
Problem 4:
/10
Total:
/60
Problem 1
Describe the three main characteristics of a good loop shape, i.e., the characteristics of

C
(
ω
)
P
(
ω
)

.
1. High gain (i.e., large

C
(
ω
)
P
(
ω
)

) at low frequency;
2. Low gain (i.e., small

C
(
ω
)
P
(
ω
)

) at high frequency;
3. gentle slope at the crossover frequency.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentName:
Problem 2
A certain controlled RC circuit with nonlinear resistor obeys the ordinary diferential
equation
˙
v
=

v
+ 2
v
2

v
3
+ 5
u
y
=
v .
1. Determine the transFer Function that approximates the circuit operating near the voltage
v
*
=
0
.
5.
2. Build a controller (perhaps containing a pre±lter) that, in a negative unity Feedback con±gu
ration, makes the approximate closedloop transFer Function near the voltage
v
*
= 0
.
5 Type I
and has a step response with overshoot less than or equal to 10% and settling time less than
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '10
 VolkanRodoplu

Click to edit the document details