SystemsModelVectorRelativeOrders

SystemsModelVectorRelativeOrders[sys]

gives the vector-relative orders of the systems model sys.

Details and Options

  • SystemsModelVectorRelativeOrders is also known as vector-relative degrees.
  • The relative order of an output of sys is essentially the number of times it must be differentiated for the input of sys to appear explicitly.
  • Output has relative order if after differentiations of the output, .
  • The vector-relative orders are the list of the relative orders for each output.
  • The matrix is called the decoupling matrix and needs to have rank .
  • The system sys can be a TransferFunctionModel, StateSpaceModel, or AffineStateSpaceModel.
  • The following options can be given:
  • MaxIterationsAutomaticmaximum number of differentiations
    ZeroTestAutomaticzero test

Examples

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Basic Examples  (1)

Compute the vector-relative orders of a system:

In[1]:=
Click for copyable input
Out[1]=

Scope  (4)

Applications  (2)

Properties & Relations  (7)

Possible Issues  (3)

See Also

SystemsModelOrder  FeedbackLinearize  AsymptoticOutputTracker

Introduced in 2014
(10.0)