ELEC3200 - System Modeling, Analysis and Control
Reference Solution to HW6
May 12, 2013
Problem 4.17
1a. Since G(s) is a system with relative degree at least 2 whose step response has overshoot,
we know that G(s) is stable and G(0) = 0. Let F (s) = (1 s)G
ELEC3200 - System Modeling, Analysis and Control
Reference Solution to HW5
May 18, 2013
Problem 4.2
By the denition of Laplace Transform,
G(s)
g (t)est dt
= L[g (t)] =
0
G(0)
g (t)e0 dt =
=
0
Hence,
0
g (t)dt
0
g (t)dt = G(0).
Problem 4.8
1. Since the clo
ELEC3200 - System Modeling, Analysis and Control
Reference Solution to HW4
April 15, 2013
Problem 2.15
There is no 2DOF transfer function block in SIMULINK library. Hence we have to build it on
our own. In fact the lecture note dedicates its Section 2.8 t
ELEC3200 - System Modeling, Analysis and Control
Reference Solution to HW3
March 20, 2013
Problem 3.3
1.
1
1
4
4
8
10
6
8
8
16
24
32
32
48
32
By the Routh table above, p1 (s) is stable.
2.
1
2
4
8
16
32
By the Routh table above, p2 (s) is stable.
3.
1
6K
ELEC3200 - System Modeling, Analysis and Control
Reference Solution to HW2
March 20, 2013
Problem 2.1
R1
C1
R3
+ v1
i
L1
+
vi
+
C2
+
vo v2
R2
Looking at the circuit above, we choose v1 (t), v2 (t), i(t) as state variables.
Applying KCL to the node connec
ELEC3200 - System Modeling, Analysis and Control
Reference Solution to HW1
February 25, 2013
Problem 1.3
The answer here is not unique. Although we prefer that the driver is a 2DOF controller,
the opinion considering the driver as a unity feedback control