BUILT-IN MATHEMATICA SYMBOL

SystemsModelExtract

extracts the subsystem of the StateSpaceModel or TransferFunctionModel object sys associated with inputs at position

.

SystemsModelExtract

extracts the subsystem associated with inputs and outputs at positions

and

, respectively.

SystemsModelExtract

extracts the subsystem of a StateSpaceModel object ss associated with inputs, outputs, and states at

,

, and

, respectively.

MORE INFORMATION

The specifications of the inputs, outputs, and states can also be All or None.

EXAMPLES

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Basic Examples (2)

Extract the subsystem associated with the first input and third output:

Extract the subsystem associated with the first two states:

Extract the subsystem associated with the first input and third output:

In[1]:=

Out[1]=

Extract the subsystem associated with the first two states:

In[1]:=

Out[1]=

Scope (5)

Extract the subsystem associated with the first input of a three-input system:

The subsystem associated with the second output:

Extract the subsystem corresponding to the first and second inputs, and the third and fourth outputs:

Extract the subsystem associated with the second and third states of a state-space model:

The subsystem associated with the third and fourth states:

Applications (4)

Rearrange the inputs of a system:

Rearrange outputs:

Rearrange states:

Use SystemsModelExtract to obtain the responses of individual subsystems of a MIMO system:

The output response to a unit step input for each subsystem:

The output response of all the subsystems:

The Nyquist plots for each subsystem:

Visualize the response of specific outputs to specific inputs for a MIMO system:

The response of the outputs to a unit step applied only to the first input:

The response of the second output to excitations in both inputs:

In some cases it is possible to extract the controllable and observable subsystems of a model by visual observation:

Only the first three modes are controllable:

ControllableDecomposition gives the same result:

Only modes 2 and 3 are observable:

ObservableDecomposition gives the same result:

Properties & Relations (1)

The specifications in SystemsModelExtract and SystemsModelDelete are complementary: