StateSpaceTransform

StateSpaceTransform[sys, {p, q}]
transforms the state-space model sys using the matrices p and q.

DetailsDetails

  • StateSpaceTransform returns a transformed model where the state variables have been transformed. The transformation can be a similarity, equivalence, or restricted equivalence transformation.
  • The system sys can be a standard or descriptor StateSpaceModel.
  • For a standard StateSpaceModel[{a, b, c, d}], the original and transformed systems are related by the transformation and the corresponding equations are given by:
  • Typically p and q are inverses, in which case the transformation is a similarity transformation. The following defaults for p and q are used for standard StateSpaceModel transformations:
  • p or {p,Automatic}{p, Inverse[p]}
    {Automatic,q}{Inverse[q], q}
  • For a descriptor StateSpaceModel[{a, b, c, d, e}], the original and transformed systems related by the transformation and the corresponding equations are given by:
  • Typically p and q are invertible matrices but not inverses, in which case the transformation is an equivalence transformation. The following defaults are used for descriptor StateSpaceModel transformations:
  • p or {p,Automatic}{p, IdentityMatrix[n]}
    {Automatic,q}{IdentityMatrix[n], q}
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