A new method for variable structure control system design: A linear matrix inequality approach
type: Item
instance of: scholarly article
title: A new method for variable structure control system design: A linear matrix inequality approach
zbMATH Open document ID: 0911.93022
DOI: 10.1016/S0005-1098(97)00118-0
author: Han Ho Choi
published in: Automatica
publication date: 1999-04-28T00:00:00Z
review text: A design method of sliding surfaces for linear control systems (in the presence of uncertainties) is proposed. The sliding surfaces are linear with respect to the state. They are characterized in terms of linear matrix inequalities. So, one can design sliding-mode controllers for even large-scale uncertain systems by solving numerically these inequalities. Moreover, a sufficient condition for the stability of a variable structure control system with mismatched uncertainties is established. An illustrative example is also presented.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 15A39
Mathematics Subject Classification ID: 93A15
zbMATH DE Number: 1192947
zbMATH Keywords: variable structure control system
zbMATH Keywords: linear matrix inequality
zbMATH Keywords: sliding mode
zbMATH Keywords: design
zbMATH Keywords: large-scale uncertain systems
zbMATH Keywords: stability
reviewed by: Mikhail Krastanov
MaRDI profile type: Publication
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: Modified adaptive robust control system design
cites work: Estimation of the asymptotic stability region of uncertain systems with bounded sliding mode controllers
cites work: Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems
cites work: Analysis and design of variable structure systems using a geometric approach
cites work: Variable structure systems with sliding modes
full work available at URL: s0005-1098(97)00118-0
OpenAlex ID: W2028976557
description: scientific article; zbMATH DE number 1192947