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BUILT-IN MATHEMATICA SYMBOL
TransferFunctionModel[m, s]
represents the model of the transfer-function matrix m with complex variable s.
TransferFunctionModel[{num, den}, s]
specifies the numerator num and denominator den of a transfer-function model.
TransferFunctionModel[{z, p, g}, s]
specifies the zeros z, poles p, and gain g of a transfer-function model.
TransferFunctionModel[ssm]
gives the transfer-function model of the StateSpaceModel ssm.
Details and Options
- TransferFunctionModel can represent scalar and multivariate systems in continuous or discrete time.
- Time delays can be included in any transfer-function model, by using SystemsModelDelay.
- In TransferFunctionModel[{num, den}, s], num must be a matrix, and den can be specified as a matrix or just the common denominator.
- TransferFunctionModel does not cancel any pole or zero of the matrix elements.
- The following options can be given:
-
Method Automatic the method to obtain the transfer function of a state-space model SamplingPeriod None the sampling period of the system SystemsModelLabels None labels for the input and output variables - Settings for the Method option include
, 
, 
, and 
. With a setting Method->Automatic, the transfer-function model is computed using determinant expansion.
Examplesopen all
Basic Examples (5)
A single-input, single-output system:
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A system with two inputs and one output:
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Obtain the transfer-function representation of a state-space model:
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A discrete-time transfer function with a sampling period of 1:
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Evaluate a transfer function over a range of frequencies:
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New in 8 | Last modified in 9
