Universal controllers for the optimal tracking of signals in linear discrete systems
type: Item
instance of: scholarly article
title: Universal controllers for the optimal tracking of signals in linear discrete systems
zbMATH Open document ID: 0958.93058
author: R. Smith
published in: Doklady Mathematics
publication date: 2001-01-28T00:00:00Z
review text: A signal tracking problem with a nonobservable noise for linear discrete systems is considered. The main aim of this paper is the construction of an optimal universal regulator (OUR), which should simultaneously be a solution to a family of optimization problems. Further, it is shown that, under the condition that the state coefficient matrix is stable, an OUR exists. However, an optimal regulator only exists if the parameters of the initial system and the real-valued quadratic form belong to some set of zero measure. The authors show that, with some dimensional conditions, an asymptotic tracking exists under any exterior noise. Finally, the \(T\)-universal regulators (implementable and stabilizing) are studied.
reviewed by: R. Bru
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 93C73
zbMATH DE Number: 1557412
zbMATH Keywords: regulators
zbMATH Keywords: linear discrete systems
zbMATH Keywords: signal tracking
zbMATH Keywords: tracking
zbMATH Keywords: optimal universal regulator
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1557412