Optimal open/closed-loop control for systems with distributed parameter
type: Item
instance of: scholarly article
title: Optimal open/closed-loop control for systems with distributed parameter
zbMATH Open document ID: 0845.73059
DOI: 10.1016/0016-0032(94)00018-F
author: Ibrahim Sadek
author: Osman Yürekli
published in: Journal of the Franklin Institute
publication date: 1996-06-06T00:00:00Z
review text: An optimal control problem for multi-dimensional structures described by a system of partial differential equations is considered. A combined open- and closed-loop mechanism is incorporated into the formulation of the problem, and a general method of solution is presented. Two performance indices are introduced and minimized with respect to the open-loop control functions and the closed-loop control parameters. The optimality condition for the open-loop control is derived in form of the integral equations by using the methods of eigenfunction expansion and variational calculus. The proposed approach is applied to a shear deformable beam excited by an initial disturbance.
Mathematics Subject Classification ID: 74M05
Mathematics Subject Classification ID: 74P99
zbMATH DE Number: 878001
zbMATH Keywords: performance indices
zbMATH Keywords: optimality condition
zbMATH Keywords: integral equations
zbMATH Keywords: methods of eigenfunction expansion
zbMATH Keywords: variational calculus
zbMATH Keywords: shear deformable beam
MaRDI profile type: Publication
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full work available at URL: 0016-0032(94)00018-f
OpenAlex ID: W2036770673
description: scientific article; zbMATH DE number 878001