Structural estimation of Wiener-Hammerstein mathematical models

In nonlinear system identification, block-oriented models such as Wiener and Hammerstein models have the advantage that they are quite simple to understand and easy to use. This paper presents a structural estimation of the Wiener-Hammerstein model, which is a block-oriented model where a static nonlinear system is surrounded by two linear dynamics at its input and output. The first part concerns the estimation of the order that is made by the ratio method of determining (DR). The second part describes the problem of estimating the delay. In this sense, estimation method is proposed namely estimation algorithm RLSVT. The analytical results are validated by numerical simulation examples.