Definition of the HOSVD based canonical form of polytopic dynamic models

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40 Citations (Scopus)

Abstract

The main objective of the paper is to introduce how the concept of tensor HOSVD can be carried over to the TP (Tensor Product) dynamic models, namely, how we can define and generate the "HOSVD like" decomposition of Linear Parameter Varying (LPV) dynamic models. We term this decomposition as HOSVD based canonical form of TP model or polytopic model form. The key idea and the basic concept of this decomposition was proposed recently with the TP model transformation based control design methodology. The novelty of this paper is to present the mathematical background of this concept. The paper shows convergency theorems how the TP model transformation is capable of reconstructing this HOSVD based canonical form numerically. The proofs of the theorems are lengthly, therefore they are omitted. The paper also presents numerical examples to show the applicability, efficiency and uniformity of the numerical reconstruction.

Original languageEnglish
Title of host publication2006 IEEE International Conference on Mechatronics, ICM
Pages660-665
Number of pages6
DOIs
Publication statusPublished - Dec 1 2006
Event2006 IEEE International Conference on Mechatronics, ICM - Budapest, Hungary
Duration: Jul 3 2006Jul 5 2006

Publication series

Name2006 IEEE International Conference on Mechatronics, ICM

Other

Other2006 IEEE International Conference on Mechatronics, ICM
CountryHungary
CityBudapest
Period7/3/067/5/06

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ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Mechanical Engineering

Cite this

Baranyi, P., Szeidl, L., Várlaki, P., & Yam, Y. (2006). Definition of the HOSVD based canonical form of polytopic dynamic models. In 2006 IEEE International Conference on Mechatronics, ICM (pp. 660-665). [4018439] (2006 IEEE International Conference on Mechatronics, ICM). https://doi.org/10.1109/ICMECH.2006.252604