What is the minimum function observer order?
type: Item
instance of: scholarly article
title: What is the minimum function observer order?
zbMATH Open document ID: 0987.93008
DOI: 10.1016/S0016-0032(96)00141-X
author: Chia-Chi Tsui
published in: Journal of the Franklin Institute
publication date: 2002-06-27T00:00:00Z
review text: The design of a minimal order observer estimating a given function \(Kx(t)\) of the state vector \(x(t)\) for given observer poles and \(K\) is considered. The design problem is reduced to a set of linear equations \(K= K_z\text{diag}(c_1,\dots, c_r)D\), where \(r\) is the observer order, \(D\) is determined and the other parameters are free. This set of equations provides the upper bound of \(r\), \(\min\{n,v_1+\cdots+ v_p\}\) and \(\min\{n- m,(v_1-1)+\cdots+ (v_p- 1)\}\) for strictly proper and proper observers, respectively, where \(n\), \(m\), \(p\) and \(v_{i0}\) \((i= 1,\dots, p)\) are the plant order, number of outputs, number of inputs and observability indices in decreasing order, respectively.
reviewed by: Tadeusz Kaczorek
Mathematics Subject Classification ID: 93B07
zbMATH DE Number: 1164114
zbMATH Keywords: minimal order observer
zbMATH Keywords: upper bound
zbMATH Keywords: observability indices
MaRDI profile type: Publication
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full work available at URL: s0016-0032(96)00141-x
OpenAlex ID: W1972204407
description: scientific article; zbMATH DE number 1164114