SYSTEMS AND CONTROL
State Space Homework
0. (a) Write a dynamic model of the system shown in Figure 1 in state space form. Use
the voltage across the capacitor and its derivative as the two components of the state
vector. Assume that the system is initial
that
B

62
( 3)
6


8
12

(
14


1.6
(
3)
( 4)
(4)
U
(2)
)

3
@
In
GCs )
meet
Two
axis
s=o
:
asymptotes
n
The
pole
on
have
in
the
MIMMS
2
,
angles
Ust
of
the
5)
tjl
negative
the
s=jl
angle of
) ( set
Stl
I

,
branches
at
KS
=
(
Poles
transfer fu
3,2/2,2/3/2,3139
Ford
David
Leon
BRADESPAR
Salvador
aoywli
De
Meggs
rate
Andrew
diytyhnsmissieng
Zip
Drake
.
+
Victor
Daniel
Tack
Stevens
Galbraith
Nguyen
Tran
Wang
.
@
1
if#
left
's*OcDO*O*
@
yOGDEE
.LI?Ety
[email protected]
a.
*
.to#IttEfsFfe
O
SYSTEMS AND CONTROL State Space Homework 0. (a) Write a dynamic model of the system shown in Figure 1 in state space form. Use the voltage across the capacitor and its derivative as the two components of the state vector. Assume that the system is initial
Problem 0: For the Open Loop Magnitude and Phase Plots shown below
1
L( s ) =
s( s + 1) 2
Find 1) Gain Crossover Frequency, g 2) the Phase Crossover Frequency, 3) Gain
Margin (linear and dB), and 4) the Phase margin (in degrees and radians). Also, 5) find
SYSTEMS AND CONTROL
HW #2
8. (a) Write a dynamic model of the system shown in Figure 1 as a second order linear
differential equation. Use the voltage across the capacitor as the output. Assume
that the system is initially at rest.
Figure 1
(b) Find the o
Problem 0: For the Open Loop Magnitude and Phase Plots shown below
1
L( s ) =
s( s + 1) 2
Find 1) Gain Crossover Frequency, g 2) the Phase Crossover Frequency, 3) Gain
Margin (linear and dB), and 4) the Phase margin (in degrees and radians). Also, 5) find