\(H^\infty\) controller reduction for nonlinear systems
type: Item
instance of: scholarly article
title: \(H^\infty\) controller reduction for nonlinear systems
zbMATH Open document ID: 0990.93033
DOI: 10.1016/S0005-1098(01)00132-7
published in: Automatica
publication date: 2002-08-19T00:00:00Z
reviewed by: Vasile Dragan
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93B11
zbMATH DE Number: 1679967
zbMATH Keywords: reduced-order controllers
zbMATH Keywords: nonlinear \(H^\infty\) control
zbMATH Keywords: Hamilton-Jacobi inequalities
zbMATH Keywords: dissipativity
zbMATH Keywords: differential game
MaRDI profile type: Publication
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full work available at URL: s0005-1098(01)00132-7
OpenAlex ID: W2176991746
review text: Sufficient conditions are proposed for the existence of reduced-order (fixed-order) controllers solving the standard nonlinear \(H^\infty\) output feedback control problem.NEWLINENEWLINENEWLINEState-space formulas for such reduced-order \(H^\infty\) controllers are also derived in terms of the solutions to two Hamilton-Jacobi inequalities. The development uses only elementary concepts of dissipativity and differential game, thus the proofs given are simple and clear.
author: Chee-Fai Yung
author: He-Sheng Wang
description: scientific article; zbMATH DE number 1679967