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Chapter 3 Building System Connections
Xmath Control Design Module 3-2 ni.com
Sys = Sys2 * Sys1
Cascade connection of Sys
1
and Sys
2
where the output
of
Sys is y
2
and the input is u
1
.
Sys = Sys1/Sys2
Cascade connection of Sys1 and inverted Sys2 where
Sys = Sys
1
* inv(Sys
2
), u=u
2
, and y = y
1
.
Sys = Sys1\Sys2
Cascade connection of inverted Sys
1
and Sys
2
where
Sys = inv(Sys
1
) * Sys
2
, u = u
2
, and y = y
1
.
Sys = [Sys1;Sys2
Parallel connection where y = [y
1
;y
2
]. The inputs are
tied together where
u=u
1
=u.
Sys = [Sys1,Sys2
Parallel connection where y = y
1
+ y
2
and
u =[u
1
;u
2
].
Sys = Sys1'
If Sys
1
is in state-space form and comprises the matrices
(
A
1
,B
1
,C
1
,D
1
), Sys comprises (A
1
',C
1
',B
1
',D
1
').
If
Sys
1
is a transfer function, it is converted internally
to state-space form.
Table 3-1. Summary of Interconnection Operators (Continued)
Diagram Description
Sys1
Sys2
y
u
u1 u2y1 y2
inv(Sys2)
Sys1
y
u
u2 u1y2 y1
Sys2
inv(Sys1)
y
u
u2 u1y2 y1
Sys1
Sys2
y
u
u1
u2
y1
y2
Sys1
Sys2
+
y
u1
u
u2
y1
y2