\(H^{\infty}\) performance of preview control systems
type: Item
instance of: scholarly article
title: \(H^{\infty}\) performance of preview control systems
zbMATH Open document ID: 1029.93021
DOI: 10.1016/S0005-1098(02)00286-8
author: Akira Kojima
author: Shintaro Ishijima
published in: Automatica
publication date: 2003-04-27T00:00:00Z
review text: The performance of preview control is investigated in terms of an \(H^\infty\) criterion. In the infinite-horizon time setting, the limitation of \(H^\infty\) performance in preview control action is characterized with a Hamiltonian matrix. By employing the properties of Hamiltonian matrices, the solvability and analytic solution for the preview full-information control problem are clarified based on an auxiliary introduced matrix Riccati equation. A property of the resulting control law is illustrated with a numerical example.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93B51
zbMATH DE Number: 1901010
zbMATH Keywords: preview control
zbMATH Keywords: predictive control
zbMATH Keywords: \(H^\infty\) control
zbMATH Keywords: operator Riccati equation
zbMATH Keywords: tracking system
zbMATH Keywords: performance limitation
zbMATH Keywords: Hamiltonian matrix
reviewed by: Vasile Dragan
MaRDI profile type: Publication
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full work available at URL: s0005-1098(02)00286-8
OpenAlex ID: W2042282384
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description: scientific article; zbMATH DE number 1901010