SystemsModelDelayApproximate

SystemsModelDelayApproximate[sys,ord]

gives a delay-free system by using approximations of order ord of the time delays in system sys.

Details and Options

  • The system can be either a StateSpaceModel or a TransferFunctionModel.
  • For continuous-time systems, delays are approximated using PadeApproximant with order ord.
  • For discrete-time systems, delays are approximated poles for the integer part of the delay and a Thiran all-pass filter of order ord for the fractional part of the delay.

Examples

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Basic Examples  (2)

Approximate a StateSpaceModel with an input delay:

In[1]:=
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Out[1]=

A TransferFunctionModel with delay:

In[1]:=
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Out[1]=

Scope  (4)

Generalizations & Extensions  (1)

Applications  (1)

Properties & Relations  (1)

Possible Issues  (1)

See Also

SystemsModelDelay  TransferFunctionModel  StateSpaceModel

Introduced in 2012
(9.0)