A new method of set membership identification for nonlinear system parameters
type: Item
instance of: scholarly article
zbMATH Open document ID: 0979.93025
author: Wenzheng Wang
author: Jinshi Cai
publication date: 2002-01-29T00:00:00Z
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1619928
zbMATH Keywords: set membership identification
zbMATH Keywords: bounded noise
zbMATH Keywords: flying vehicle
zbMATH Keywords: plane
zbMATH Keywords: center
zbMATH Keywords: feasible solution set
zbMATH Keywords: size
MaRDI profile type: Publication
title: A new method of set membership identification for nonlinear system parameters
published in: Control Theory \& Applications
review text: The authors consider the estimation of the parameter vector \(\theta \in {\mathbb R}^p\) contained in the following nonlinear system NEWLINE\[NEWLINEz_i=f_i(\theta)+v_i,\quad i=1,\ldots,N,NEWLINE\]NEWLINE where \(z_i\in {\mathbb R}^m\) and \(v_i\in {\mathbb R}^m\) are the output and measurement noise, respectively, and \(f_i(\theta)\) is a nonlinear differentiable function of \(\theta\). Assuming that the noise is bounded, the set membership identification method is used to estimate the parameter \(\theta\). They present a two-steps method, that is, the center of the feasible solution set (FSS), first, is estimated and then the size of FSS is determined. In order to illustrate their algorithm and its effectiveness, they give a numerical simulation example, which describes the longitudinal dynamics of a flying vehicle.
reviewed by: Yu Wenhuan
description: scientific article; zbMATH DE number 1619928