Robust adaptive stabilization of time-invariant first-order hybrid systems with covariance resetting
type: Item
instance of: scholarly article
title: Robust adaptive stabilization of time-invariant first-order hybrid systems with covariance resetting
zbMATH Open document ID: 0888.93053
DOI: 10.1016/S0020-7462(96)00152-7
published in: International Journal of Non-Linear Mechanics
publication date: 1998-06-11T00:00:00Z
review text: A robust adaptive stabilization for a class of nominally controllable first-order hybrid time-invariant linear systems is presented. The paper is an extension of the paper by \textit{R. Lozano}, \textit{A. Osorio} and \textit{J. Torres} [IEEE Trans. Autom. Control AC-39, 1748-1751 (1994)], in two aspects. In the first, purely continuous systems are extended to hybrid systems. In the second, unmodelled dynamics are considered and hence the robust adaptive stabilization has to be studied. The filtered control consists of two parts, \(u_{f1}\) and \(u_{f2}\). The objective of \(u_{f1}\) is pole assignment while that of \(u_{f2}\) is the compensation of the influence of discrete dynamics. As for robust stabilization, covariance resetting together with dead zone are employed. The modification of estimation by hysteresis switching in order to maintain the controllability of the estimated model is common with the paper.
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93C57
zbMATH DE Number: 1063922
zbMATH Keywords: robust adaptive stabilization
zbMATH Keywords: hybrid systems
zbMATH Keywords: pole assignment
zbMATH Keywords: covariance resetting
zbMATH Keywords: dead zone
zbMATH Keywords: hysteresis switching
Wikidata QID: Q57675831
author: M. De la Sen
reviewed by: Kunihiko Ichikawa
MaRDI profile type: Publication
full work available at URL: s0020-7462(96)00152-7
OpenAlex ID: W2145892087
description: scientific article; zbMATH DE number 1063922