Study of the TP transformation via the inverted pendulum example


  • 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



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


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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How to Cite

Wéber, A., & Kuczmann, M. (2021). Study of the TP transformation via the inverted pendulum example. Acta Technica Jaurinensis, 14(1), 1–23.



Research articles