On parameterization design for linear observers.
type: Item
instance of: scholarly article
title: On parameterization design for linear observers.
zbMATH Open document ID: 1042.93011
DOI: 10.1016/S0016-0032(03)00013-9
author: Zhiwei Gao
author: Albert T. P. So
published in: Journal of the Franklin Institute
publication date: 2003-07-29T00:00:00Z
review text: In the paper linear, continuous-time, finite-dimensional control systems with constant coefficients are considered. The definition of state observer is given. Next, based on a reduced-order state observer, a new observer parametrization is proposed and discussed in detail. Using observer parametrization, the estimation error dynamics with respect to the input disturbances is derived. A procedure for optimal robust observer with a given performance specification is also proposed. Moreover, an illustrative numerical example which describes the parametrization procedure is also presented. It should be pointed out that similar problems can be found e.g. in the papers [\textit{Z. W. Gao}, ``Modified parametrization of observers'', Proc. Am. Control Conf. 2000, 404--405 (2000)] and [\textit{Z. W. Gao} and \textit{D. W. C. Ho}, IEEE Trans. Autom. Control 46, 1840--1842 (2001; Zbl 1041.93506)].
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93B11
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C60
zbMATH DE Number: 1956078
zbMATH Keywords: observability
zbMATH Keywords: linear control systems
zbMATH Keywords: continuous-time control systems
zbMATH Keywords: finite-dimensional control system
zbMATH Keywords: time-invariant control systems
reviewed by: Jerzy Klamka
MaRDI profile type: Publication
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full work available at URL: s0016-0032(03)00013-9
OpenAlex ID: W2007460356
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description: scientific article; zbMATH DE number 1956078