Low-order control design for LMI problems using alternating projection methods
type: Item
instance of: scholarly article
title: Low-order control design for LMI problems using alternating projection methods
zbMATH Open document ID: 0855.93026
DOI: 10.1016/0005-1098(96)00057-X
author: Robert E. Skelton
author: Karolos M. Grigoriadis
published in: Automatica
publication date: 1997-02-04T00:00:00Z
review text: For a given linear time-invariant plant with state-space realization, we have to find a fixed, low-order controller in the presence of a disturbance. The design is based on linear matrix inequalities (LMI). The following procedure is presented: First, solve the convex problem of finding a full-order controller. Second, use this solution as an initial condition to find the controller with the order reduced by one. Third, return to the second step, until the resulting reduced-order controller is the desired one, using a projection algorithm. An example of a two-mass-spring system of fifth order is stabilized using a second-order controller.
reviewed by: A.Vaněček
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 15A39
zbMATH DE Number: 930695
zbMATH Keywords: \(H^ \infty\) control
zbMATH Keywords: linear matrix inequalities
zbMATH Keywords: reduced-order controller
zbMATH Keywords: projection algorithm
describes a project that uses: QDES
MaRDI profile type: Publication
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full work available at URL: 0005-1098(96)00057-x
OpenAlex ID: W2000024603
description: scientific article; zbMATH DE number 930695