Rejection of persistent bounded disturbances: Nonlinear controllers
type: Item
instance of: scholarly article
title: Rejection of persistent bounded disturbances: Nonlinear controllers
zbMATH Open document ID: 0760.93011
DOI: 10.1016/0167-6911(92)90054-V
author: Munther A. Dahleh
author: Jeff S. Shamma
published in: Systems \& Control Letters
publication date: 1992-09-27T00:00:00Z
review text: The paper studies the controller design problem for time invariant linear systems using time varying nonlinear compensators. Using two different approaches the authors show that nonlinear time varying compensators (instead of linear time invariant ones) do not improve the optimal disturbance rejection of \(\ell^ \infty\) disturbances. The first approach involves the introduction of an operator analogous to the Hankel operator arising in \({\mathcal H}^ \infty\)-optimal control. The second approach is based on a linearization of the nonlinear time varying controller.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 64906
zbMATH Keywords: controller design problem
zbMATH Keywords: Hankel operator
zbMATH Keywords: nonlinear time varying controller
reviewed by: Joachim Rosenthal
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 64906