Orthogonal functions for cross-directional control of web forming processes
type: Item
instance of: scholarly article
title: Orthogonal functions for cross-directional control of web forming processes
zbMATH Open document ID: 0849.93021
DOI: 10.1016/0005-1098(96)85548-8
published in: Automatica
publication date: 1996-11-12T00:00:00Z
review text: Considering a set of basis functions for which the actuator response can be described in a small number of terms, a generalization of the controllability results in terms of any set of orthogonal basis functions is obtained. It is shown that the profile can be divided into controllable and uncontrollable parts. If the basis functions are spectral, then these parts can in turn be related to the high and low spectral components. For a chosen basis function it is possible to reduce the dimensionality. In the simulations, a process with fewer coefficients than the number of actuators is presented. Given certain experimental conditions, it is possible to reduce the estimation problem to a small number of single-input single-output estimators with a small number of parameters.
reviewed by: Ilie Valuşescu
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93A30
zbMATH DE Number: 867757
zbMATH Keywords: spectral analysis
zbMATH Keywords: quadratic programming
zbMATH Keywords: predictive control
zbMATH Keywords: controllability
zbMATH Keywords: basis functions
author: William P. Heath
MaRDI profile type: Publication
full work available at URL: 0005-1098(96)85548-8
OpenAlex ID: W2063546790
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description: scientific article; zbMATH DE number 867757