BUILT-IN MATHEMATICA SYMBOL

SystemsModelParallelConnect

connects TransferFunctionModel or StateSpaceModel objects

and

in parallel.

connects only input

of

to input

of

, and sums only output

of

and output

of

.

SystemsModelParallelConnect

connects the inputs

to inputs

and sums the outputs

and outputs

.

MORE INFORMATION

The inputs and outputs of the system produced by SystemsModelParallelConnect are the unions of the inputs and outputs of and , respectively.

The arguments , , , and are integers specifying the positions of the input or output channels.

They can also be specified using the appropriate values of SystemsModelLabels.

If or is in state-space form, the result is given in state-space form.

EXAMPLES

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Basic Examples (4)

Connect two transfer functions in parallel:

A parallel connection of two identical systems:

A two-input, three-output system and a two-input, two-output system:

Connect input 2 of system 1 with input 1 of system 2, and sum output 3 of system 1 with output 2 of system 2:

Connect two transfer functions in parallel:

In[1]:=

Out[1]=

A parallel connection of two identical systems:

In[1]:=

Out[1]=

A two-input, three-output system and a two-input, two-output system:

In[1]:=

Out[1]=

Connect input 2 of system 1 with input 1 of system 2, and sum output 3 of system 1 with output 2 of system 2:

In[2]:=

Out[2]=

Scope (3)

Connect two continuous-time systems in parallel:

Connect two discrete-time systems in parallel:

Connect two-input, two-output systems in parallel:

Generalizations & Extensions (3)

Merge two systems:

Connect the corresponding inputs:

Sum the corresponding outputs:

Applications (3)

A function that connects any number of matching systems in parallel:

Connect a family of first-order systems in parallel:

Connect several multiple-input, multiple-output systems:

Construct a parallel RLC circuit:

Add a disturbance model to the output of a system:

Properties & Relations (3)

SystemsModelParallelConnect is essentially a summation operation:

A parallel connection leaves the states of the subsystems unchanged:

The minimum value of the number of inputs of the resulting system is greater than or equal to the maximum value of the number of inputs of each subsystem:

A similar result holds for the minimum number of outputs:

If any one of the subsystems is a StateSpaceModel object, so is the result: