Estimation of uncertainty in an open-channel network mathematical model
type: Item
instance of: scholarly article
title: Estimation of uncertainty in an open-channel network mathematical model
zbMATH Open document ID: 0701.93003
DOI: 10.1016/0307-904X(89)90174-1
author: Elsie Sterbin Gottlieb
published in: Applied Mathematical Modelling
publication date: 1989-01-01T00:00:00Z
review text: Since no mathematical model can perfectly describe a concrete system, with each model should be associated an estimate of its deviation from the actual system. Here, a mathematical model is given for open-channel networks that expresses the dynamic relationship, in terms of transcendental transfer functions, between the changes in gate openings and the corresponding variations in stored water volume in every chanal reach. By series expansion around \(s=0\) a linear time-invariant state variable model is then derived, together with the corresponding rational transfer matrix. With this model, taken as the nominal one, is associated a measure of its maximum distance from the exact models, expressed by the maximum singular value of a suitable matrix, for a variety of flow conditions in the channel, chosen such that a set of representative operating conditions is defined. This distance can be used for the synthesis of a robust control system.
Mathematics Subject Classification ID: 93A30
Mathematics Subject Classification ID: 90B10
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 4149965
zbMATH Keywords: open-channel networks
zbMATH Keywords: time-invariant
reviewed by: Kurt Marti
MaRDI profile type: Publication
cites work: Sub-optimal constant-volume control for open channel networks
cites work: A control method for speeding up response of hydroelectric station power canals
cites work: Multivariable feedback design: Concepts for a classical/modern synthesis
description: scientific article; zbMATH DE number 4149965