Stable, robust tracking by sliding mode control
type: Item
instance of: scholarly article
title: Stable, robust tracking by sliding mode control
zbMATH Open document ID: 0669.93061
DOI: 10.1016/0167-6911(88)90036-9
author: George C. Verghese
author: Benito Fernandez R.
author: J. Karl Hedrick
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
full work available at URL: http://hdl.handle.net/1721.1/2992
review text: Sliding mode control is examined from the perspective of obtaining stable and robust tracking of an arbitrary time-varying reference by a multi- input-output, linear, time-invariant system driven by a certain class of bounded errors, nonlinearities and disturbances. Most existing sliding mode schemes for such systems are subsumed by the one presented here. The results are developed via the use of inverse models, and make clear the constraints imposed by the finite and infinite zero structure of the system. In particular, stable and robust tracking is shown to be obtained by the scheme in this paper if and only if the system is minimum phase.
Mathematics Subject Classification ID: 93D25
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B55
Mathematics Subject Classification ID: 93C35
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 4097245
zbMATH Keywords: Sliding mode control
zbMATH Keywords: robust tracking of an arbitrary time-varying reference
zbMATH Keywords: multi-input-output, linear, time-invariant system
zbMATH Keywords: bounded errors, nonlinearities
zbMATH Keywords: disturbances
zbMATH Keywords: inverse models
zbMATH Keywords: finite and infinite zero structure of the system
zbMATH Keywords: minimum phase
zbMATH Keywords: time-invariant
MaRDI profile type: Publication
OpenAlex ID: W2151646302
cites work: Variable structure systems with sliding modes
cites work: Design of variable structure model-following control systems
cites work: Variable structure systems: Present and future
cites work: Nonlinear adaptive model-following control
cites work: A calculus for computing Filippov's differential inclusion with application to the variable structure control of robot manipulators
cites work: Rational matrix structure
cites work: Fast projection methods for minimal design problems in linear system theory
cites work: Variable-structure systems and system zeros
cites work: Linear multivariable systems
cites work: Q3931082
cites work: Parametrization issues in multivariable adaptive control
cites work: Q5659396
cites work: The output zeroing problem and its relationship to the invariant zero structure : a matrix pencil approach
cites work: Nonlinear control systems: An introduction
cites work: Control of multivariable non-linear systems by the sliding mode method
description: scientific article; zbMATH DE number 4097245