On the two-block \(H^ \infty\) problem for a class of unstable distributed systems
type: Item
instance of: scholarly article
title: On the two-block \(H^ \infty\) problem for a class of unstable distributed systems
zbMATH Open document ID: 0869.93016
DOI: 10.1016/0024-3795(94)00112-X
author: Caixing Gu
author: Onur Toker
author: H. Özbay
published in: Linear Algebra and its Applications
publication date: 1997-06-25T00:00:00Z
review text: The paper deals with the two-block \(H^\infty\) control problem for linear distributed parameter plants with finitely many unstable modes. Under the assumption that the weighting filters in the \(H^\infty\) mixed-sensitivity problem are finite-dimensional, the authors develop a unified approach for solving both the optimal and the suboptimal problem. They obtain two systems of linear equations, expressed in terms of state-space realizations of the finite-dimensional parts of the problem data as opposed to the values of certain analytical functions at the roots of certain polynomials, as some earlier papers had done. This alternative approach alleviates or totally eliminates numerical ill-conditioning associated with the earlier approach in the computation of \(H^\infty\) optimal and suboptimal controllers.
reviewed by: Tamer Başar
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93C25
zbMATH DE Number: 847503
zbMATH Keywords: two-block \(H^ \infty\) control problem
zbMATH Keywords: linear distributed parameter plants
zbMATH Keywords: finitely many unstable modes
zbMATH Keywords: \(H^ \infty\) mixed-sensitivity
zbMATH Keywords: computation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 847503