Sliding mode control in infinite-dimensional systems
type: Item
instance of: scholarly article
title: Sliding mode control in infinite-dimensional systems
zbMATH Open document ID: 0661.93036
DOI: 10.1016/0005-1098(87)90032-X
published in: Automatica
publication date: 1987-01-01T00:00:00Z
review text: An infinite-dimensional control system in Banach spaces, given by \(\dot x=Ax+bu(x,t)+f,\) is considered. Here the control u undergoes discontinuities on the surface \(Cx=0\), where C is a linear operator. The equivalent control method is applied and a theorem on the convergence of the sliding mode is obtained. An application to the control of a multi- dimensional heat process is presented.
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 49J30
Mathematics Subject Classification ID: 46B99
zbMATH DE Number: 4081405
zbMATH Keywords: infinite-dimensional control system
zbMATH Keywords: Banach spaces
zbMATH Keywords: equivalent control
zbMATH Keywords: sliding mode
author: Yu. V. Orlov
author: Vadim I. Utkin
MaRDI profile type: Publication
cites work: The invariance conditions in variable structure systems
cites work: Q4069857
cites work: Q4401802
cites work: Use of sliding modes in distributed system control problems
cites work: Q4182320
full work available at URL: 0005-1098(87)90032-x
OpenAlex ID: W1969944700
description: scientific article; zbMATH DE number 4081405