COMPLEXITY RELAXATION OF THE TENSOR PRODUCT MODEL TRANSFORMATION FOR HIGHER DIMENSIONAL PROBLEMS |
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Authors: | P ter Baranyi,Zolt n Petres,P ter Korondi,Yeung Yam,Hideki Hashimoto |
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Affiliation: | Péter Baranyi,Zoltén Petres,Péter Korondi,Yeung Yam,Hideki Hashimoto |
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Abstract: | The Tensor Product (TP) model transformation method was proposed recently as an automated gateway between a class of non‐linear models and linear matrix inequality based control design. The core of the TP model transformation is the higher order singular value decomposition of a large sized tensor, which requires high computational power that is usually outside of a regular computer capacity in cases of higher dimensionality. This disadvantage restricts the utilization of the TP model transformation to models having smaller dimensionality. The aim of this paper is to propose a computationally relaxed version of the TP model transformation. The paper also presents a 6 dimensional example to show the effectiveness of the modified transformation. |
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Keywords: | Non‐linear control design TP model transformation parallel distributed compensation linear matrix inequality |
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