Influence of the Manipulation of the Polytopic Tensor Product Model Representation on the Control Performance of LMI Based Design

Alexandra Szollosi, P. Baranyi, P. Várlaki

Research output: Conference contribution

1 Citation (Scopus)

Abstract

The paper studies the effect of the manipulation of the polytopic TP model representation of a given quasi Linear Parameter Varying (qLPV) state-space model on the control performance results. The investigated model in the case study consists of the extended, Stribeck friction included three degrees of-freedom version of the aero elastic wing section of the Nonlinear Aero elastic Test Apparatus (NATA) model. The investigation is carried out through the Tensor Product (TP) model transformation based Control Design Framework, which bridges the manipulation of the polytopic representation and Linear Matrix Inequality (LMI) based control design methods. Different TP model representations of the given qLPV model are derived: A TP model representation with a sum-normalized non-negative (SNNN) convex hull, a TP model representation with a close to-normal (CNO) convex hull and interpolated TP model representations. Upon these representations Linear Matrix Inequality based design methods are applied to attain the controller and observer system components. The resulting control systems are tested through numerical simulation and their performance are compared and evaluated. The paper presents results, where the interpolated representations lead to better control performance results, which indicates, that the manipulation of the polytopic TP model representation may lead to further potential optimization possibilities. Also, this shows, that in order to find the optimal solution the manipulation is a necessary and important step.

Original languageEnglish
Title of host publicationProceedings - 2015 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2603-2608
Number of pages6
ISBN (Print)9781479986965
DOIs
Publication statusPublished - jan. 12 2016
EventIEEE International Conference on Systems, Man, and Cybernetics, SMC 2015 - Kowloon Tong, Hong Kong
Duration: okt. 9 2015okt. 12 2015

Other

OtherIEEE International Conference on Systems, Man, and Cybernetics, SMC 2015
CountryHong Kong
CityKowloon Tong
Period10/9/1510/12/15

Fingerprint

Linear matrix inequalities
Tensors
Linear matrix inequality
Manipulation
Degrees of freedom (mechanics)
Friction
Control systems
Controllers

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Networks and Communications
  • Energy Engineering and Power Technology
  • Information Systems and Management
  • Control and Systems Engineering

Cite this

Szollosi, A., Baranyi, P., & Várlaki, P. (2016). Influence of the Manipulation of the Polytopic Tensor Product Model Representation on the Control Performance of LMI Based Design. In Proceedings - 2015 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2015 (pp. 2603-2608). [7379587] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SMC.2015.455

Influence of the Manipulation of the Polytopic Tensor Product Model Representation on the Control Performance of LMI Based Design. / Szollosi, Alexandra; Baranyi, P.; Várlaki, P.

Proceedings - 2015 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2015. Institute of Electrical and Electronics Engineers Inc., 2016. p. 2603-2608 7379587.

Research output: Conference contribution

Szollosi, A, Baranyi, P & Várlaki, P 2016, Influence of the Manipulation of the Polytopic Tensor Product Model Representation on the Control Performance of LMI Based Design. in Proceedings - 2015 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2015., 7379587, Institute of Electrical and Electronics Engineers Inc., pp. 2603-2608, IEEE International Conference on Systems, Man, and Cybernetics, SMC 2015, Kowloon Tong, Hong Kong, 10/9/15. https://doi.org/10.1109/SMC.2015.455
Szollosi A, Baranyi P, Várlaki P. Influence of the Manipulation of the Polytopic Tensor Product Model Representation on the Control Performance of LMI Based Design. In Proceedings - 2015 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2015. Institute of Electrical and Electronics Engineers Inc. 2016. p. 2603-2608. 7379587 https://doi.org/10.1109/SMC.2015.455
Szollosi, Alexandra ; Baranyi, P. ; Várlaki, P. / Influence of the Manipulation of the Polytopic Tensor Product Model Representation on the Control Performance of LMI Based Design. Proceedings - 2015 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2015. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 2603-2608
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