Title
Identification of systems with localised nonlinearity: From state-space to block-structured models
Abstract
This paper presents a method that generates initial estimates for a rather general block-structured model, starting from the (more general) polynomial nonlinear state-space model. The considered block-structure, sometimes referred to as Linear Fractional Transformation (LFT) or Linear Fractional Representation (LFR), encompasses several simpler structures. It can e.g. describe Wiener, Hammerstein, Wiener-Hammerstein and nonlinear feedback structures. In fact, the chosen block-structure is the most general representation of a system with one Single-Input Single-Output (SISO) static nonlinearity. As is quite common in block-structure identification, the states and internal signals are assumed to be unknown. The method gradually imposes the structure of the LFR system, and at the same time finds an estimate of the Multiple-Input Multiple-Output (MIMO) linear dynamic part and the static nonlinearity (SNL). The method is illustrated via an experimental-data example.
Year
DOI
Venue
2013
10.1016/j.automatica.2013.01.052
Automatica
Keywords
Field
DocType
Identification algorithms,Parameter estimation,Nonlinear systems,Nonlinear models,State-space models,Block-structured models
Mathematical optimization,Nonlinear system,Polynomial,Control theory,MIMO,Estimation theory,Linear fractional transformation,State space,Mathematics
Journal
Volume
Issue
ISSN
49
5
0005-1098
Citations 
PageRank 
References 
10
0.66
5
Authors
3
Name
Order
Citations
PageRank
Anne Van Mulders1152.32
Johan Schoukens237658.12
Laurent Vanbeylen3465.90