User`s guide

4 Arrays of LTI Models
4-26
Example: Addition of Two LTI Arrays
The following diagram illustrates the addition of two 3-by-1 LTI arrays
sys1+sys2.
Figure 4-8: The Addition of Two LTI Arrays
The summation of t hese LTI arrays
sys = sys1+sys2
is equivalent to the following model-by-model summation.
for k = 1:3
sys(:,:,k)=sys1(:,:,k) + sys2(:,:,k)
end
2s 6.5+
s
2
6.5s 9++
---------------------------------
1
s 4.5+
-----------------
1
s 2.5+
-----------------
sys2
sys1
+=
sys
sys1(:,:,3)
sys1(:,:,2)
sys2(:,:,3)
sys(:,:,3)
sys(:,:,2)
2.1
s 4+
------------
sys2(:,:,2)
2.5s 8.25+
s
2
6.8s 11.31++
--------------------------------------------
sys(:,:,1)
=
=
1.5
s 3.9+
-----------------
sys2(:,:,1)
+
+
+
1
s 2.9+
-----------------
sys1(:,:,1)
1
s 2+
------------
3.15 9.25+
s
2
6.5s 10++
------------------------------------
=