English

Canonical block-oriented model

Optimization and Control 2019-10-01 v1 Systems and Control Systems and Control

Abstract

The block-oriented models are usually based on linear dynamic and non-linear static blocks that are connected in various sequential/parallel ways. Some particular configurations of the involved blocks result in the well-known Hammerstein, Wiener, Hammerstein-Wiener and generalised Hammerstein models. The Urysohn model is a lesser-known model; it is represented by a single non-linear dynamic block and can be approximated by a number of parallel Hammerstein blocks. In this paper, it is shown that any block-oriented model can be adequately replaced by a single Urysohn block followed by a single static non-linear block. Furthermore, a method of the so-called non-parametric identification of such object is introduced.

Cite

@article{arxiv.1909.13429,
  title  = {Canonical block-oriented model},
  author = {Andrew Polar and Michael Poluektov},
  journal= {arXiv preprint arXiv:1909.13429},
  year   = {2019}
}
R2 v1 2026-06-23T11:29:43.290Z