Attracting ellipsoid method application to designing of sliding mode controllers

Jorge Davila, Alexander Poznyak

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

The Attracting Ellipsoid Method is applied for the design of sliding mode controllers for linear systems subjected to matched and unmatched perturbations. The existence of first order actuators is considered and their time constants are designed to provide quasi-optimal practical stability. The technique is based on the existence of an attracting (invariant) ellipsoid such that the convergence to a quasi-minimal region of the origin is guaranteed. The design procedure is given in terms of the solution of a set of Linear Matrix Inequalities. A benchmark example illustrating the design is given.

Original languageEnglish
Title of host publicationProceedings of the 2010 11th International Workshop on Variable Structure Systems, VSS 2010
Pages83-88
Number of pages6
DOIs
StatePublished - 2010
Externally publishedYes
Event2010 11th International Workshop on Variable Structure Systems, VSS 2010 - Mexico City, Mexico
Duration: 26 Jun 201028 Jun 2010

Publication series

NameProceedings of the 2010 11th International Workshop on Variable Structure Systems, VSS 2010

Conference

Conference2010 11th International Workshop on Variable Structure Systems, VSS 2010
Country/TerritoryMexico
CityMexico City
Period26/06/1028/06/10

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