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© National Instruments Corporation 3-1 Xmath Control Design Module
3
Building System Connections
Large system models are frequently built by connecting smaller models
together. You can perform different types of linear system interconnections
using the Xmath functions discussed in this chapter.
MathScript allows operators (
*,+, and so on) to be overloaded—given
different behaviors when used with different objects. A number of simple
types of connections have been implemented as overloaded operators on
systems, while more complex connections are available through
specialized functions.
Linear System Interconnection Operators
Overloaded operators provide a quick way to perform different types of
basic connections between systems. Table 3-1 illustrates these operations
on a pair of systems
Sys
1
and Sys
2
with outputs y
1
and y
2
and inputs u
1
and
u
2
, respectively.
Table 3-1. Summary of Interconnection Operators
Diagram Description
Sys = Sys1 + Sys2
Parallel connection where y = y
1
+ y
2
. The inputs are
tied together where
u=u
1
=u
2
.
Sys = Sys1 – Sys2
Parallel connection where y = y
1
+ y
2
. In the unary
case
, Sys = –Sys
1
where y=–y
1
. The inputs are tied
together where
u=u
1
=u
2
.
Sys1
Sys2
+
yu
u1
u2
y1
y2
Sys1
Sys2
–
yu
u1
u2
y1
y2