On the existence of linear sliding surfaces for a class of uncertain dynamic systems with mismatched uncertainties
type: Item
instance of: scholarly article
title: On the existence of linear sliding surfaces for a class of uncertain dynamic systems with mismatched uncertainties
zbMATH Open document ID: 0931.93014
DOI: 10.1016/S0005-1098(99)00081-3
author: Han Ho Choi
published in: Automatica
publication date: 2000-02-20T00:00:00Z
review text: The problem of designing a variable structure control law for uncertain systems, where the uncertainty does not satisfy the matching conditions, is studied. A necessary and sufficient condition for the existence of a linear sliding surface in terms of linear matrix inequalities (LMI) is proved. Moreover, existence condition of a sliding surface, guaranteeing general LMI regional pole placement constraints for all admissible uncertainties, is obtained. Simulation results for controlling an inverted pendulum mounted on a cart are also presented.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93B55
Mathematics Subject Classification ID: 15A39
zbMATH DE Number: 1356092
zbMATH Keywords: sliding mode control
zbMATH Keywords: linear matrix inequality
zbMATH Keywords: variable structure control
zbMATH Keywords: matching conditions
zbMATH Keywords: regional pole placement
reviewed by: Mikhail Krastanov
MaRDI profile type: Publication
full work available at URL: s0005-1098(99)00081-3
OpenAlex ID: W1970424469
description: scientific article; zbMATH DE number 1356092