Complexity relaxation of the Tensor Product model transformation for higher dimensional problems

Péter Baranyi, Zoltán Petres, Péter Korondi, Yeung Yam, Hideki Hashimoto

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

The Tensor Product (TP) model transformation method was proposed recently as an automated gateway between a class of non-linear models and linear matrix inequality based control design. The core of the TP model transformation is the higher order singular value decomposition of a large sized tensor, which requires high computational power that is usually outside of a regular computer capacity in cases of higher dimensionality. This disadvantage restricts the utilization of the TP model transformation to models having smaller dimensionality. The aim of this paper is to propose a computationally relaxed version of the TP model transformation. The paper also presents a 6 dimensional example to show the effectiveness of the modified transformation.

Original languageEnglish
Pages (from-to)195-200
Number of pages6
JournalAsian Journal of Control
Volume9
Issue number2
Publication statusPublished - Jun 1 2007

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Keywords

  • Linear matrix inequality
  • Non-linear control design
  • Parallel distributed compensation
  • TP model transformation

ASJC Scopus subject areas

  • Control and Systems Engineering

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