Canonical block-oriented model

TL;DR

This paper introduces a unified approach to modeling block-oriented systems by replacing complex configurations with a single Urysohn block and static non-linearity, along with a non-parametric identification method.

Contribution

It demonstrates that all block-oriented models can be simplified to a Urysohn-based structure and provides a new non-parametric identification technique.

Findings

Any block-oriented model can be replaced by a Urysohn and static non-linear block.

A non-parametric identification method for this model is proposed.

The approach simplifies modeling and identification of complex systems.

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.