({{, (RefLink[TransferFunctionExpand, paclet:ref/TransferFunctionExpand])[tfm] 
expands polynomial terms in the numerators and denominators of the (RefLink[TransferFunctionModel, paclet:ref/TransferFunctionModel]) tfm.}})

OpenersPrimaryExamplesSection(Spacer1)Examples  (7)

OpenersExampleSection0(Spacer1)Basic Examples  (1)

Expand the numerator and denominator of a transfer-function model:

TransferFunctionExpand[TransferFunctionModel[(1/(s(s+3)))+((4 s)/(s+6)),s]]

OpenersExampleSection1(Spacer1)Scope  (4)

Expand a transfer-function model:

TransferFunctionExpand[TransferFunctionModel[(1/s) (1/(s-1))(1/(s-10))(1/(s-100)),s]]

Expand a symbolic transfer-function model:

TransferFunctionExpand[(TransferFunctionModelFull[((((q+p s))^4)/(((b+a s))^6)), , , ])]

Expand the transfer function of a MIMO system:

TransferFunctionExpand[ (TransferFunctionModelFull[-((0.252`)/((((1+3.3` s))^2) (1+1800 s))), ((0.43`)/((1+12 s) (1+1800 s))), -((0.0435`)/((((1+25.3` s))^3) (1+360 s))), ((0.097`)/((1+12 s) (1+360 s))), , , ])]

Expand the transfer function of a discrete-time system:

TransferFunctionExpand[(TransferFunctionModelFull[((0.043476` (-0.99`+z) (-0.9048`+z) (0.8636` +z))/((-0.999`+z) (-0.9512`+z) (-0.6036`+z))), 0.5`, , ])]

OpenersExampleSection3(Spacer1)Properties & Relations  (2)

(RefLink[TransferFunctionExpand, paclet:ref/TransferFunctionExpand]) is effectively the inverse of (RefLink[TransferFunctionFactor, paclet:ref/TransferFunctionFactor]):

TransferFunctionExpand[TransferFunctionFactor[(TransferFunctionModelFull[((c+b s+a (s^2))/(r+q s+p (s^2))), , , ])]]

(RefLink[TransferFunctionExpand, paclet:ref/TransferFunctionExpand]) expands each numerator and denominator:

TransferFunctionExpand[(TransferFunctionModelFull[((α+β)/(s^2)), (((α+s) (β+s))/(s^2)), (((α+s) (β+s))/(1+(s^2))), (((α+s) (β+s))/((γ+s) (δ+s))), , , ])]

({{DocumentationFooterIconsRelatedFunction.png, ({{See Also}, {(RefLink[TransferFunctionModel, paclet:ref/TransferFunctionModel])  ▪  (RefLink[TransferFunctionFactor, paclet:ref/TransferFunctionFactor])}})}})

({{DocumentationFooterIconsRelatedGuide.png, ({{Related Guides}, {▪(RefLinkPlain[Basic Systems Modeling, paclet:guide/Modeling])}})}})