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Authors: Aadithyan Sridharan 1 ; Gerwald Lichtenberg 1 ; Antonio Correcher Salvador 2 and Carlos Vargas Salgado 3

Affiliations: 1 Faculty of Life Sciences, University of Applied Sciences, Ulmenliet 20, 21033 Hamburg, Germany ; 2 Instituto Universitario de Automática e Informática Industrial (ai2), Universitat Politècnica de València, 46022, Valencia, Spain ; 3 Department of Electrical Engineering, Universitat Politècnica de València, 46022, Valencia, Spain

Keyword(s): Multilinear Systems, Parameter Identification, Tensor Decomposition, Industrial Building Modelling.

Abstract: Industrial buildings often have interacting continuous- and discrete-valued signals. Hybrid multilinear time invariant (MTI) models have been shown to be able to describe this hybrid dynamics appropriately for many cases. White box modelling methods from first principles have been used in this application domain before. The parameters of these models can be efficiently represented by higher order tensors. This paper introduces as alternatives black and grey box approaches for the parameter identification of MTI models from data. The methods are tested with the help of simulation data produced from a multilinear model of an industrial hall. It is assumed that all state variables are measured with additative noise and the input and disturbances are exactly measured, too. Two black box methods obtain either the full parameter tensor or a rank-r decomposition of it. Numerical examples using the industrial building model show the principle applicability of these approaches for real data.

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Paper citation in several formats:
Sridharan, A.; Lichtenberg, G.; Salvador, A. and Salgado, C. (2020). Approaches to Parameter Identification for Hybrid Multilinear Time Invariant Systems. In Proceedings of the 10th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - SIMULTECH; ISBN 978-989-758-444-2; ISSN 2184-2841, SciTePress, pages 255-262. DOI: 10.5220/0009887502550262

@conference{simultech20,
author={Aadithyan Sridharan. and Gerwald Lichtenberg. and Antonio Correcher Salvador. and Carlos Vargas Salgado.},
title={Approaches to Parameter Identification for Hybrid Multilinear Time Invariant Systems},
booktitle={Proceedings of the 10th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - SIMULTECH},
year={2020},
pages={255-262},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0009887502550262},
isbn={978-989-758-444-2},
issn={2184-2841},
}

TY - CONF

JO - Proceedings of the 10th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - SIMULTECH
TI - Approaches to Parameter Identification for Hybrid Multilinear Time Invariant Systems
SN - 978-989-758-444-2
IS - 2184-2841
AU - Sridharan, A.
AU - Lichtenberg, G.
AU - Salvador, A.
AU - Salgado, C.
PY - 2020
SP - 255
EP - 262
DO - 10.5220/0009887502550262
PB - SciTePress