Parameter insensitive disturbance-rejection problems with direct control and with known disturbances for infinite-dimensional systems
type: Item
instance of: scholarly article
title: Parameter insensitive disturbance-rejection problems with direct control and with known disturbances for infinite-dimensional systems
zbMATH Open document ID: 0938.93047
DOI: 10.1016/S0016-0032(98)00047-7
author: Naohisa Otsuka
author: Hiroshi Inaba
published in: Journal of the Franklin Institute
publication date: 2000-06-27T00:00:00Z
review text: Consider the infinite-dimensional system of the form \(\dot x(t)= Ax(t)+ Bu(t)+ E\xi(t)\), \(y(t)= Cx(t)\), \(z(t)= Dx(t)+ Ku(t)\), where \(B\), \(C\), \(D\), \(E\), and \(K\) are unknown convex combinations of given operators, \(B_0\), \(B_1\), \(C_0\), \(C_1\), etc., and where \(A\) is an unknown multiple of a given operator. The parameter insensitive disturbance rejection problem is to design of feedback, \(u(t)= Hy(t)\) such that in the closed loop system the disturbance \(\xi\) has no influence on \(z\). The authors solve this problem using the geometric approach, i.e., they give conditions for the solvability in term of subspace inclusions. As a variation of the first problem they also consider the problem of known disturbances. For this problem a part of the disturbances is known and this part may be used in the feedback.
Mathematics Subject Classification ID: 93C73
Mathematics Subject Classification ID: 93B27
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 93C25
zbMATH DE Number: 1359765
zbMATH Keywords: infinite-dimensional system
zbMATH Keywords: disturbance rejection
zbMATH Keywords: geometric approach
reviewed by: Hans Zwart
MaRDI profile type: Publication
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full work available at URL: s0016-0032(98)00047-7
OpenAlex ID: W2042724698
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description: scientific article; zbMATH DE number 1359765