The convergence theorems for the stochastic approximation (SA) algorithm with expanding truncations are first presented, which the system identification methods discussed in the paper are essentially based on. Then, the recursive identification algorithms are respectively defined for the multivariate errors-in-variables systems, Hammerstein systems, and Wiener systems. All estimates given in th...

The prevailing analyses of sinusoidally perturbed extremum-seeking (ES) schemes require the ES scheme to act slowly relative to the plant dynamics. Existing analyses that do allow for fast ES are fairly restrictive, considering only local behaviour on Wiener–Hammerstein plants where the nonlinear element is quadratic. In this paper, semi-global stability of an ES scheme acting on a general Hamm...

Special classes of nonlinear systems applied in engineering are nonlinear systems with both block-oriented Hammerstein and Wiener structures, respectively [1, 3, 4, 7, 8, 14]. There are a lot of papers devoted to the different aspects of the parametric identification of Hammerstein and Wiener systems and much less on that of the Hammerstein–Wiener (H-W) systems with so-called hard nonlinearitie...

This study provides a recursive parametric identification scheme for liquid-saturated steam heat exchanger system. The uses block-structured Wiener and Hammerstein models as model structure least squares estimation the parameter method. estimated block-oriented higher accuracy of than linear provided in literature. From simulation results, it is observed that can provide 88% goodness-of-FIT, wh...