User`s guide

Model Interconnection Functions
3-17
Concatenation of LTI Models
LTI model concatenation is done in a manner similar to the way you
concatenate matrices in MATLAB, using
sys = [sys1 , sys2] % horizontal concatenation
sys = [sys1 ; sys2] % vertical concatenation
sys = append(sys1,sys2)% block diagonal appending
In I/O terms, horizontal and vertical concatenation have the following
block-diagram interpretations (with and denoting the transfer
matrices of
sys1 and sys2).
You ca n use concatenation as an easy way to create MIMO transfer functions
or zero-pole-gain models. For example,
H = [ tf(1,[1 0]) 1 ; 0 tf([1 –1],[1 1]) ]
specifies
H
1
H
2
H
2
y
+
+
H
1
u
1
u
2
yH
1
,H
2
u
1
u
2
=
Horizontal Concatenation
H
2
H
1
u
y
1
y
2
y
1
y
2
H
1
H
2
u=
Vertical Concatenation
Hs()
1
s
---
1
0
s 1–
s 1+
------------
=