Computational relaxed TP model transformation by restriction of the computation to subspaces of the dynamic model

Szabolcs Nagy, Zoltán Petres, Peter Baranyi, Hideki Hashimoto

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Citations (Scopus)

Abstract

The Tensor-Product (TP) model transformation is a recently proposed numerical method capable of transforming linear parameter varying state-space models to the Higher Order Singular Value Decomposition (HOSVD) based canonical form of polytopic models. It is also capable of generating various types of convex TP models as well for linear matrix inequality based control design. The crucial point of the TP model transformation is that its computational load exponentially explodes with the dimensionality of the parameter vector of the state-space model. In this paper we propose a modified TP model transformation that computes the HOSVD-based canonical form by dimensionality reduced sub-spaces of the parameter vector that leads to the considerable reduction of the computation. A numerical example is also given to show how the modified TP model transformation can readily be executed in cases when the original TP model transformation fails.

Original languageEnglish
Title of host publicationISCIII'07
Subtitle of host publication3rd International Symposium on Computational Intelligence and Intelligent Informatics; Proceedings
Pages99-104
Number of pages6
DOIs
Publication statusPublished - Sep 25 2007
EventISCIII'07: 3rd International Symposium on Computational Intelligence and Intelligent Informatics - Agadir, Morocco
Duration: Mar 28 2007Mar 30 2007

Publication series

NameISCIII'07: 3rd International Symposium on Computational Intelligence and Intelligent Informatics; Proceedings

Other

OtherISCIII'07: 3rd International Symposium on Computational Intelligence and Intelligent Informatics
CountryMorocco
CityAgadir
Period3/28/073/30/07

ASJC Scopus subject areas

  • Artificial Intelligence
  • Software
  • Mathematics(all)

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    Nagy, S., Petres, Z., Baranyi, P., & Hashimoto, H. (2007). Computational relaxed TP model transformation by restriction of the computation to subspaces of the dynamic model. In ISCIII'07: 3rd International Symposium on Computational Intelligence and Intelligent Informatics; Proceedings (pp. 99-104). [4218403] (ISCIII'07: 3rd International Symposium on Computational Intelligence and Intelligent Informatics; Proceedings). https://doi.org/10.1109/ISCIII.2007.367370