Suboptimal shape control for quasi-static distributed-parameter systems
type: Item
instance of: scholarly article
title: Suboptimal shape control for quasi-static distributed-parameter systems
zbMATH Open document ID: 0617.49015
DOI: 10.1007/BF00941177
author: L. A. Sievers
author: Mark J. Balas
published in: Journal of Optimization Theory and Applications
publication date: 1987-01-01T00:00:00Z
review text: We propose an on-line control approach which will adjust the steady-state shape of a large antenna arbitrarily close to any achievable desired profile. The method makes use of distributed-parameter system theory and allows refocusing using a limited number of control actuators and sensors. The controller gains are calculated by approximating the solution to an infinite-dimensional optimal quasi-static control problem. The controller gain calculation is computationally simpler than that proposed in a companion paper. The Galerkin (finite element) approximation method is used for model reduction. We prove that both gain and state convergence can be achieved by using the proposed approximation scheme.
Mathematics Subject Classification ID: 49M15
Mathematics Subject Classification ID: 78A50
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 93B40
zbMATH DE Number: 4000841
zbMATH Keywords: steady-state shape of a large antenna
zbMATH Keywords: distributed-parameter system
zbMATH Keywords: Galerkin (finite element) approximation method
zbMATH Keywords: gain and state convergence
MaRDI profile type: Publication
cites work: Q4127946
cites work: Q4130553
full work available at URL: https://doi.org/10.1007/bf00941177
OpenAlex ID: W1996725429
description: scientific article; zbMATH DE number 4000841