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Tensor product model transformation

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The TP (Tensor Product) model transformation proposed by Baranyi [compind,Baranyi04] is capable of numerically reconstructing the Higher Order Singular Value Decomposition (HOSVD) of continuous multi-variable functions. The HOSVD of functions is defined by Baranyi in [canon1]. Further, it is capable of reconstructing various special kinds of convex TP structure of the given functions (especially developed for linear matrix inequality based control design).

Properties of the TP model transformation:

  • It is a non-heuristic and tractable numerical method firstly proposed in control theory [compind,Baranyi04]. Its free MATLAB implementation is downloadable at [1]
  • It transforms the given function into finite element TP structure. If this structure does not exist, then the transformation gives an approximation under the constrain on the number of elements.
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