Study of the TP transformation via the inverted pendulum example

Authors

  • Andrea Wéber Széchenyi István University, Department of Automation, Egyetem tér 1, 9026 Győr, Hungary
  • Miklós Kuczmann Széchenyi István University, Department of Automation, Egyetem tér 1, 9026 Győr, Hungary

DOI:

https://doi.org/10.14513/actatechjaur.00562

Keywords:

tensor product based control, nonlinear dynamic systems, linear matrix inequality, inverted pendulum

Abstract

This study decribes the Tensor Product (TP) based model construction through the nonlinear dynamic system of the inverted pendulum. It presents the steps of TP modeling, various weighting functions and the Linear Matrix Inequality (LMI) based approach. LMI control has been used to stabilize the nonlinear system. This study shows the quasi-Linear Parameter-Varying (qLPV) state-space modeling and the Higher-Order Singular Value Decomposition (HOSVD) based TP model transformation. Some research in this issue already exists, but only the furuta, rotary, single and parallel-type double pendulum have been examined. In this paper the TP model transformation of the inverted pendulum is analyzed in terms of stability.

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Published

2020-12-09

How to Cite

Wéber, A. and Kuczmann, M. (2020) “Study of the TP transformation via the inverted pendulum example”, Acta Technica Jaurinensis. doi: 10.14513/actatechjaur.00562.

Issue

Section

Research articles