Modeling and control of a flexible solar array paddle as a clamped-free-free-free rectangular plate
type: Item
instance of: scholarly article
title: Modeling and control of a flexible solar array paddle as a clamped-free-free-free rectangular plate
zbMATH Open document ID: 0845.73058
DOI: 10.1016/0005-1098(95)00100-X
author: Fumitoshi Matsuno
author: Michinori Hatayama
author: Hideaki Senda
author: Tomoaki Ishibe
author: Yoshiyuki Sakawa
published in: Automatica
publication date: 1996-04-21T00:00:00Z
review text: We consider a flexible plate in zero gravitational field and rotated about two of its axes by two motors. We first derive a partial differential equation and a set of boundary conditions that represent vibration of the flexible plate, and ordinary differential equations that represent the dynamics of the angles of rotation of the motors. Solving the related eigenvalue problem, the eigenvalues and the corresponding eigenfunctions are obtained. On the basis of a finite-dimensional modal model of the distributed-parameter system, an optimal controller with low-pass property and a robust \(H_\infty\) controller for the flexible plate are constructed. Simulations and experiments have been carried out.
Mathematics Subject Classification ID: 74M05
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 867801
zbMATH Keywords: robust \(H(\infty)\) controller
zbMATH Keywords: zero gravitational field
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: finite-dimensional modal model
zbMATH Keywords: distributed-parameter system
zbMATH Keywords: optimal controller
MaRDI profile type: Publication
cites work: Free vibration analysis of completely free rectangular plates by the superposition-Galerkin method
cites work: A simple model of flexible manipulators with six axes and vibration control by using accelerometers
cites work: Q5552615
cites work: An algebraic approach to \(H_{\infty}\) output feedback control problems
full work available at URL: 0005-1098(95)00100-x
OpenAlex ID: W2062228516
description: scientific article; zbMATH DE number 867801