Adaptive control of linear unstable and nonminimum-phase plants
type: Item
instance of: scholarly article
title: Adaptive control of linear unstable and nonminimum-phase plants
zbMATH Open document ID: 0572.93051
author: M. M. Lychak
author: Vsevolod M. Kuntsevich
published in: Automation and Remote Control
publication date: 1985-01-01T00:00:00Z
review text: A discrete-time single-input single-output adaptive control problem which includes both unstable and nonminimum phase plants is considered. The plant is under the action of a disturbance bounded by \(\delta\). The control \(u_ n\) is determined by the minimax principle. That is, \(u_ n\) is determined so as to minimize a criterion function maximized by an unknown parameter vector L in the estimate \(\Omega_ L^{(n)}\) and also by an unknown disturbance in the prescribed set \(\Omega_{\lambda}\). The estimate \(\Omega_ L^{(n)}\) is successively narrowed by an identification process. That is \(\Omega_ L^{(n+1)}={\tilde \Omega}_ L^{(n+1)}\cap \Omega_ L^{(n)},\) where \({\tilde \Omega}{}_ L^{(n+1)}\) is determined by the inequality based on the transition from \(x_ n\) to \(x_{n+1}\).
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 3914205
zbMATH Keywords: discrete-time single-input single-output adaptive control problem
zbMATH Keywords: unstable and nonminimum phase plants
zbMATH Keywords: minimax principle
reviewed by: Kunihiko Ichikawa
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3914205