TY  - JOUR
AU  - Nikolic, Sasa S.
AU  - Milovanovic, Miroslav B.
AU  - Dankovic, Nikola B.
AU  - Mitic, Darko B.
AU  - Peric, Stanisa Lj.
AU  - Djordjevic, Andjela D.
AU  - Djekic, Petar S.
PY  - 2023/04/24
Y2  - 2025/01/01
TI  - Identification of Nonlinear Systems Using the Hammerstein-Wiener Model with Improved Orthogonal Functions
JF  - Elektronika ir Elektrotechnika
JA  - ELEKTRON ELEKTROTECH
VL  - 29
IS  - 2
SE  - 
DO  - 10.5755/j02.eie.33838
UR  - https://eejournal.ktu.lt/index.php/elt/article/view/33838
SP  - 4-11
AB  - <p>Hammerstein-Wiener systems present a structure consisting of three serial cascade blocks. Two are static nonlinearities, which can be described with nonlinear functions. The third block represents a linear dynamic component placed between the first two blocks. Some of the common linear model structures include a rational-type transfer function, orthogonal rational functions (ORF), finite impulse response (FIR), autoregressive with extra input (ARX), autoregressive moving average with exogenous inputs model (ARMAX), and output-error (O-E) model structure. This paper presents a new structure, and a new improvement is proposed, which is consisted of the basic structure of Hammerstein-Wiener models with an improved orthogonal function of Müntz-Legendre type. We present an extension of generalised Malmquist polynomials that represent Müntz polynomials. Also, a detailed mathematical background for performing improved almost orthogonal polynomials, in combination with Hammerstein-Wiener models, is proposed. The proposed approach is used to identify the strongly nonlinear hydraulic system via the transfer function. To compare the results obtained, well-known orthogonal functions of the Legendre, Chebyshev, and Laguerre types are exploited.</p>
ER  -