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SystemsConnectionsModel

SystemsConnectionsModel[{sys₁,sys₂,…},conxs,ins,outs]

gives a model with inputs ins and outputs outs obtained by connecting the systems models sys_i using connections conxs.

Details

The systems model sys_i can be a TransferFunctionModel, StateSpaceModel, AffineStateSpaceModel, NonlinearStateSpaceModel or another SystemsConnectionsModel.
The p input or output of sys_i is referred to by the integer pair {i,p}.
Each connection in conxs must be specified as {i,p}->{j,q}.

Each input and output in ins and outs must be specified as {i,p}.

Examples

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Basic Examples (3)

A series connection:

A feedback connection:

A nested connection:

The inner feedback system:

The complete system:

Scope (6)

Connect systems of the same kind:

Connect systems of different kinds:

Connect discrete-time systems:

Multivariable systems:

A system with an internal signal that is also an output:

A system with no internal connections:

Applications (2)

Reduce a block diagram:

The subsystems:

The connections model:

Reduce the system:

A systems model with three subsystems running on an Arduino Uno microcontroller board:

The first subsystem is a moving-average filter:

The second subsystem is a ButterworthFilterModel:

The third subsystem compares the outputs of the earlier subsystems:

The complete system:

Embed it in the microcontroller board:

Properties & Relations (4)

SystemsModelMerge will try to merge a SystemsConnectionsModel:

SystemsModelSeriesConnect is a special case:

SystemsModelParallelConnect is a special case:

SystemsModelFeedbackConnect is a special case:

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