Image Processing Reference
In-Depth Information
2
4
3
5
; v
(
k
) ¼
2
4
3
5
; y
(
k
) ¼
x
(
k
)
D
l
(
k
)
D
m
(
k
)
D
h
(
k
)
D
U
g
(
k
)
D
U
l
(
k
)
D
U
b
(
k
)
where, x
(
k
) ¼
. The controller uses a
gain matrix and the integrator modeled by the following Equation:
e
(
k
þ
) ¼
e
(
k
)
Bv
(
k
)
v
(
k
) ¼þ
Ke
(
k
)
1
¼
x
d
x(k) and x
d
is the desired state vector.
a. Find the gain matrix for placing the poles at location [0.2, 0.2, 0.2] using
Equation 9.45.
b. Show the time evolution of the states for a step response with respect to pitch
number using recursive solution of Equation 4.118, the measurement-actu-
ation updates are executed at every pitch.
c. Compare the results of step b by running the control simulation with the
charge, development models from Chapter 10.
d. Are there other reasons why this type of control approaches are more suitable
than level 1 and 2 architecture? Comment.
where e(k)
9.6
For a level 2 controller (Figure 9.8), design the antiwindup compensator gain
matrix and show the performance with and without the compensator.
9.7
Let the vector U
0
contain the input patch gray levels (or area coverages) for
controlling
D
E
a
*
from paper for magenta separation shown in Table 9.4. They
are shown in the second column. In the third column, the vector, x, contain the
normalized values transformed to gray levels of the
D
E
a
*
from paper measure-
ments are shown. Use identity reference TRCand direct inversion process. Process
magenta separated image through the inverted TRC and printer model.
TABLE 9.4
D
E
a
*
from Paper (Normalized) with Respect
to Gray Levels
D
E
a
*
with Respect to Paper
Number of Patches
U
0
0
0.00
0.00
1
26.00
8.37
2
51.00
26.20
3
77.00
43.73
4
102.00
75.77
5
128.00
88.76
6
153.00
128.61
7
179.00
161.31
8
204.00
203.92
9
230.00
242.89
10
255.00
255.00
Search WWH ::
Custom Search