Minimal Volume Simplex (MVS) approach for convex hull generation in TP Model Transformation

József Kuti, Péter Galambos, Péter Baranyi

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

13 Citations (Scopus)

Abstract

To a large degree, systems and control applications of TP Model Transformation rely on convex hull manipulation of polytopic LPV/qLPV system models. In this respect, the creation of tight convex hulls is an especially challenging problem, as it requires complex nonlinear optimisation. By defining the Minimal Volume Simplex (MVS) type hull, the paper presents a novel approach for tight convex hull generation. The approach, which involves the so-called MVSA algorithm, leads to a radical reduction in computational time while showing improved numerical properties in terms of repeatability and reliability as compared to other hull generation methods. Furthermore, the proposed method allows for the taking into account of special design considerations regarding the alignment of the convex hull.

Original languageEnglish
Title of host publicationINES 2014 - IEEE 18th International Conference on Intelligent Engineering Systems, Proceedings
EditorsAniko Szakal
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages187-192
Number of pages6
ISBN (Electronic)9781479946150
DOIs
Publication statusPublished - Sep 24 2014
Event18th IEEE International Conference on Intelligent Engineering Systems, INES 2014 - Tihany, Hungary
Duration: Jul 3 2014Jul 5 2014

Publication series

NameINES 2014 - IEEE 18th International Conference on Intelligent Engineering Systems, Proceedings

Other

Other18th IEEE International Conference on Intelligent Engineering Systems, INES 2014
CountryHungary
CityTihany
Period7/3/147/5/14

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Keywords

  • Convex hull generation
  • Polytopic LPV/qLPV modelling
  • Systems and Control
  • TP Model Transformation

ASJC Scopus subject areas

  • Software
  • Artificial Intelligence
  • Applied Mathematics
  • Theoretical Computer Science

Cite this

Kuti, J., Galambos, P., & Baranyi, P. (2014). Minimal Volume Simplex (MVS) approach for convex hull generation in TP Model Transformation. In A. Szakal (Ed.), INES 2014 - IEEE 18th International Conference on Intelligent Engineering Systems, Proceedings (pp. 187-192). [6909366] (INES 2014 - IEEE 18th International Conference on Intelligent Engineering Systems, Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/INES.2014.6909366