The decentralized control expanding system problem
type: Item
instance of: scholarly article
title: The decentralized control expanding system problem
zbMATH Open document ID: 0651.93010
DOI: 10.1016/0167-6911(88)90019-9
author: A. F. Vaz
author: Edward J. Davison
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
review text: Conditions are examined under which a controller for a controlled system denoted by \(S_{new}\) can be found without having to retune the previous decentralized controllers obtained in a controled system denoted by \(S_{old}.\) Given a system \(S_{new}\) in which there are no decentralized fixed modes and the robust decentralized servomechanism problem is solvable, then it has been shown that the decentralized expanding system problem is generally solvable with respect to the system's interconnection gains. Also, it is shown that a system \(S_{new}\) can be connected to an existing system \(S_{old}\) which is already satisfactorily controlled, such that for almost all interconnection gains a local controller exists for \(S_{new}\), so that the augmented composite system is satisfactorily controlled without retuning the controllers of the original system \(S_{old}.\) The problem of the paper is a generalization of the results obtained by \textit{E. J. Davison} and \textit{U. Ozguner} [ibid. 1, 255-260 (1982; Zbl 0473.93014)], which deals with the case when the control agents of \(S_{new}\) are centralized. The paper is well organized and written and can be considered to be of very good quality in its topic area.
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 4062912
zbMATH Keywords: interconnected systems
zbMATH Keywords: robust decentralized servomechanism
zbMATH Keywords: decentralized expanding system problem
MaRDI profile type: Publication
full work available at URL: 0167-6911(88)90019-9
OpenAlex ID: W1981831975
cites work: Decentralized control of linear multivariable systems
cites work: The robust decentralized control of a general servomechanism problem
cites work: The expanding system problem
cites work: On the stabilization of decentralized control systems
description: scientific article; zbMATH DE number 4062912