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Abstract

The paper uses specific parameter estimation methods to identify the coefficients of continuous-time models represented by linear and non-linear ordinary differential equations. The necessary approximation of such systems in discrete time in the form of utility models is achieved by the use of properly tuned ‘integrating filters’ of the FIR type. The resulting discrete-time descriptions retain the original continuous parameterization and can be identified, for example, by the classical least squares procedure. Since in the presence of correlated noise, the estimated parameter values are burdened with an unavoidable systematic error (manifested by asymptotic bias of the estimates), in order to significantly improve the identification consistency, the method of instrumental variables is used here. In our research we use an estimation algorithm based on the least absolute values (LA) criterion of the least sum of absolute values, which is optimal in identifying linear and non-linear systems in the case of sporadic measurement errors. In the paper, we propose a procedure for determining the instrumental variable for a continuous model with non-linearity (related to the Wienerian system) in order to remove the evaluation bias, and a recursive sub-optimal version of the LA estmator. This algorithm is given in a simple (LA) version and in an instrumental variable version (IV-LA), which is robust to outliers, removes evaluation bias, and is suited to the task of identifying processes with non-linear dynamics (semi-Wienerian/NLID). In conclusion, the effectiveness of the proposed algorithmic solutions has been demonstrated by numerical simulations of the mechanical system, which is an essential part of the suspension system of a wheeled vehicle.
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Authors and Affiliations

Janusz Kozłowski
1
ORCID: ORCID
Zdzisław Kowalczuk
1
ORCID: ORCID

  1. Gdansk University of Technology, WETI, Narutowicza 11/12, 80-952 Gdańsk
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Abstract

The last decades have seen a growing interest in food and cooking and along with it a rise of the a new journalistic genre, the food column. This article focuses on two collections of Polish food columns, or, to be more precise culinary feuilletons, now also available in book form, Literatura od kuchni [Literature from Behind the Scenes] by Bogusław Deptuła and Więcej niż możesz zjeść [More Than You Can Tuck Away] by Dorota Masłowska. They provide the material for a study of two interrelated phenomena, the sensory processing which takes place in the course of the culinary experience, and the retrieval of those experiences from memory, triggered by exposure to certain events or artefacts. Viewed from that perspective, the culinary columns of either writer represent a record of his or her gustatory sensations, which constitute their (auto)biographical pasts. Each of them is made up of two blocks of memories, representing the remote past (childhood) and the past that is still fresh (recent travel experiences). The approach adopted in this study ties in with the methodology of sensory anthropology, especially its taste- and smell-specific subfields, and sensuous geography (most of the sensory reminiscences in Bogusław Deptuła’s and Dorota Masłowska’s culinary feuilletons are rooted in their experience of a particular geographical place).
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Bibliography

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Authors and Affiliations

Katarzyna Kurowska
1
ORCID: ORCID

  1. mgr, doktorantka na Wydziale Polonistyki, Uniwersytet Jagielloński, Kraków

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