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BUILT-IN MATHEMATICA SYMBOL
StateSpaceRealization
StateSpaceRealization
is an option to StateSpaceModel that specifies its canonical representation.
Details
- The following settings can be used:
-
Automatic automatically determine realization "Controllable" the controllable realization "ControllableCompanion" the controllable companion realization "Observable" the observable realization "ObservableCompanion" the observable companion realization - The controllable form is obtained by computing the controllable companion form of the subsystems corresponding to each input and combining the results.
- For the proper transfer-function matrix
, the controllable companion form is -
-
- The identity matrix
has dimension 
. - The observable form is obtained by computing the observable companion form of the subsystems corresponding to each output and combining the results.
- For the proper transfer-function matrix
, the observable companion form is -
-
- The realizations are similar for discrete-time systems.
- For the improper transfer-function
, the polynomial part is realized using descriptor variables, and the proper rational part is realized using the specified form. » - StateSpaceModel[tfm, StateSpaceRealization->Automatic] gives the controllable realization of the transfer-function model tfm.
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