Partial compensation for uncertain discrete systems
type: Item
instance of: scholarly article
title: Partial compensation for uncertain discrete systems
zbMATH Open document ID: 0966.93069
DOI: 10.1023/A:1008395928788
author: N. Delaunay
published in: Dynamics and Control
publication date: 2001-08-01T00:00:00Z
review text: The author considers systems of the form \[ x(k+1)=[A+\Delta A(\sigma(k))]x(k)+Bu(k)+Ev(\sigma(k)) \] with known matrices \(A\), \(\Delta A\), \(B\), \(E\) and disturbance vector \(v\) of appropriate dimension and with appropriate properties such as stabilizability, continuity etc. The vector \(\sigma(.)\) of uncertainties takes values in a prescribed compact set. Then a nonlinear feedback control is proposed which is based on the solution to a certain Lyapunov equation. Conditions are formulated which guarantee that the resulting controlled system is practically stable. The results are illustrated by an example with two states and two control variables.
reviewed by: Inge Troch
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93D21
zbMATH DE Number: 1501672
zbMATH Keywords: practical stability
zbMATH Keywords: robust control
zbMATH Keywords: Lyapunov approach
zbMATH Keywords: discrete system
zbMATH Keywords: robust stabilization
zbMATH Keywords: disturbance
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1501672