Polytopic decomposition of the linear parameter-varying model of the parallel-type double inverted pendulum

Szabolcs Nagy, Zoltán Petres, P. Baranyi, L. Szeidl, Pál Michelberger

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

3 Citations (Scopus)

Abstract

Most of the formal controller synthesis approaches require conditions like controllability, observability of the systems, however it is still difficult to verify these properties in general. In case of polytopic models these conditions and the feasibility of the linear matrix inequalities (LMI) based design strongly depends on the weighting of the LTI vertex components of the polytopic model. With tensor product (TP) model transformation it is possible to decompose linear parameter-varying (LPV) models into polytopic forms in various ways and also provides the appropriate weighting functions. The objective of this paper is to use this decomposition on the the parallel-type double inverted pendulum control problem.

Original languageEnglish
Title of host publicationINES 2007 - 11th International Conference on Intelligent Engineering Systems, Proceedings
Pages271-275
Number of pages5
DOIs
Publication statusPublished - 2007
EventINES 2007 - 11th International Conference on Intelligent Engineering Systems - Budapest, Hungary
Duration: Jun 29 2007Jul 1 2007

Other

OtherINES 2007 - 11th International Conference on Intelligent Engineering Systems
CountryHungary
CityBudapest
Period6/29/077/1/07

Fingerprint

Pendulums
Decomposition
Observability
Controllability
Linear matrix inequalities
Tensors
Controllers

ASJC Scopus subject areas

  • Artificial Intelligence
  • Control and Systems Engineering

Cite this

Nagy, S., Petres, Z., Baranyi, P., Szeidl, L., & Michelberger, P. (2007). Polytopic decomposition of the linear parameter-varying model of the parallel-type double inverted pendulum. In INES 2007 - 11th International Conference on Intelligent Engineering Systems, Proceedings (pp. 271-275). [4283710] https://doi.org/10.1109/INES.2007.4283710

Polytopic decomposition of the linear parameter-varying model of the parallel-type double inverted pendulum. / Nagy, Szabolcs; Petres, Zoltán; Baranyi, P.; Szeidl, L.; Michelberger, Pál.

INES 2007 - 11th International Conference on Intelligent Engineering Systems, Proceedings. 2007. p. 271-275 4283710.

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

Nagy, S, Petres, Z, Baranyi, P, Szeidl, L & Michelberger, P 2007, Polytopic decomposition of the linear parameter-varying model of the parallel-type double inverted pendulum. in INES 2007 - 11th International Conference on Intelligent Engineering Systems, Proceedings., 4283710, pp. 271-275, INES 2007 - 11th International Conference on Intelligent Engineering Systems, Budapest, Hungary, 6/29/07. https://doi.org/10.1109/INES.2007.4283710
Nagy S, Petres Z, Baranyi P, Szeidl L, Michelberger P. Polytopic decomposition of the linear parameter-varying model of the parallel-type double inverted pendulum. In INES 2007 - 11th International Conference on Intelligent Engineering Systems, Proceedings. 2007. p. 271-275. 4283710 https://doi.org/10.1109/INES.2007.4283710
Nagy, Szabolcs ; Petres, Zoltán ; Baranyi, P. ; Szeidl, L. ; Michelberger, Pál. / Polytopic decomposition of the linear parameter-varying model of the parallel-type double inverted pendulum. INES 2007 - 11th International Conference on Intelligent Engineering Systems, Proceedings. 2007. pp. 271-275
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