Design methodology of tensor product based control models via HOSVD and LMIs

D. Tikk, P. Baranyi, Rom J. Patton, I. Rudas, J. Tar

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

1 Citation (Scopus)

Abstract

This paper aims at solving the conflicts of the computational needs of building Tensor Product (TP) based control models having high approximation accuracy and practical aspects of their applicability w.r.t. system stability and feasibility. Therefore first we propose a HOSVD (Higher Order Singular Value Decomposition) based methodology capable of implementing any differential equation systems of a dynamic model in TP model form with specific basis functions whereupon the Linear Matrix Inequalities (LMI) based controller design techniques and stability analysis can be executed. Second, we intend to find a tradeoff between the TP modelling accuracy, hence system performance, and the controller complexity which is bounded by the available real time computation power at hand. As an example a detailed control design is given.

Original languageEnglish
Title of host publicationProceedings of the IEEE International Conference on Industrial Technology
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1290-1295
Number of pages6
Volume2
ISBN (Print)0780376579
DOIs
Publication statusPublished - 2002
EventIEEE International Conference on Industrial Technology, IEEE ICIT 2002 - Bangkok, Thailand
Duration: Dec 11 2002Dec 14 2002

Other

OtherIEEE International Conference on Industrial Technology, IEEE ICIT 2002
CountryThailand
CityBangkok
Period12/11/0212/14/02

Fingerprint

Singular value decomposition
Tensors
Controllers
Linear matrix inequalities
System stability
Dynamic models
Differential equations

Keywords

  • Accuracy-complexity tradeoff
  • HOSVD based reduction
  • LMI control design
  • TP based approximation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Science Applications

Cite this

Tikk, D., Baranyi, P., Patton, R. J., Rudas, I., & Tar, J. (2002). Design methodology of tensor product based control models via HOSVD and LMIs. In Proceedings of the IEEE International Conference on Industrial Technology (Vol. 2, pp. 1290-1295). [1189363] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICIT.2002.1189363

Design methodology of tensor product based control models via HOSVD and LMIs. / Tikk, D.; Baranyi, P.; Patton, Rom J.; Rudas, I.; Tar, J.

Proceedings of the IEEE International Conference on Industrial Technology. Vol. 2 Institute of Electrical and Electronics Engineers Inc., 2002. p. 1290-1295 1189363.

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

Tikk, D, Baranyi, P, Patton, RJ, Rudas, I & Tar, J 2002, Design methodology of tensor product based control models via HOSVD and LMIs. in Proceedings of the IEEE International Conference on Industrial Technology. vol. 2, 1189363, Institute of Electrical and Electronics Engineers Inc., pp. 1290-1295, IEEE International Conference on Industrial Technology, IEEE ICIT 2002, Bangkok, Thailand, 12/11/02. https://doi.org/10.1109/ICIT.2002.1189363
Tikk D, Baranyi P, Patton RJ, Rudas I, Tar J. Design methodology of tensor product based control models via HOSVD and LMIs. In Proceedings of the IEEE International Conference on Industrial Technology. Vol. 2. Institute of Electrical and Electronics Engineers Inc. 2002. p. 1290-1295. 1189363 https://doi.org/10.1109/ICIT.2002.1189363
Tikk, D. ; Baranyi, P. ; Patton, Rom J. ; Rudas, I. ; Tar, J. / Design methodology of tensor product based control models via HOSVD and LMIs. Proceedings of the IEEE International Conference on Industrial Technology. Vol. 2 Institute of Electrical and Electronics Engineers Inc., 2002. pp. 1290-1295
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