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2 2019

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ADR jako element bezpieczeństwa chemicznego

100%

Janczak A.

Promotor BHP

2019

tom nr 9

46--55

Bezpieczeństwo chemiczne w każdym państwie stanowi istotny element działalności ogólnogospodarczej. Jednym z podsystemów regionalnego (europejskiego) systemu bezpieczeństwa chemicznego jest Umowa Europejska ADR.

Two-stage instrumental variables identification of polynomial Wiener systems with invertible nonlinearities

63%

Janczak A. , Korbicz J.

International Journal of Applied Mathematics and Computer Science

2019

tom Vol. 29, no. 3

571--580

A new two-stage approach to the identification of polynomial Wiener systems is proposed. It is assumed that the linear dynamic system is described by a transfer function model, the memoryless nonlinear element is invertible and the inverse nonlinear function is a polynomial. Based on these assumptions and by introducing a new extended parametrization, the Wiener model is transformed into a linear-in-parameters form. In Stage I, parameters of the transformed Wiener model are estimated using the least squares (LS) and instrumental variables (IV) methods. Although the obtained parameter estimates are consistent, the number of parameters of the transformed Wiener model is much greater than that of the original one. Moreover, there is no unique relationship between parameters of the inverse nonlinear function and those of the transformed Wiener model. In Stage II, based on the assumption that the linear dynamic model is already known, parameters of the inverse nonlinear function are estimated uniquely using the IV method. In this way, not only is the parameter redundancy removed but also the parameter estimation accuracy is increased. A numerical example is included to demonstrate the practical effectiveness of the proposed approach.