A universal stabilizing controller for a concatenated dynamical system
type: Item
instance of: scholarly article
title: A universal stabilizing controller for a concatenated dynamical system
zbMATH Open document ID: 0961.93046
author: P. P. Yip
author: Alexander Stotsky
author: J. Karl Hedrick
published in: Doklady Mathematics
publication date: 2001-01-28T00:00:00Z
review text: A concatenated control system is considered. It is assumed that the nonlinear functions in the right-hand side are unknown but bounded where their derivatives and the bounds are given. A stabilizing controller, using only measurable phase variables, is proposed. First, the system is rewritten in a suitable canonical form. Next, assuming that the derivatives of the output are known, a suitable control feedback is constructed. To make the controller realizable, a procedure for estimation of the derivatives of the output is developed. To filter the high-frequency component of the signal, an equivalent control is used instead the signum function in the controller.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93B10
zbMATH DE Number: 1557486
zbMATH Keywords: concatenated control systems
zbMATH Keywords: stabilizing controller
zbMATH Keywords: canonical form
zbMATH Keywords: estimation of the derivatives
zbMATH Keywords: equivalent control
reviewed by: Mikhail Krastanov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1557486