Sliding mode parameter adjustment for perturbed linear systems with actuators via invariant ellipsoid method

J. Davila, A. Poznyak

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A methodology for the design of sliding mode controllers for perturbed quasi-linear systems in the presence of actuators is presented. This technique is based on the invariant ellipsoid method and given in terms of the solution of a set of linear matrix inequalities. The provided methodology allows the design of the controller parameters ensuring global convergence of the states to a suboptimal ellipsoidal region around the origin even in the presence of both matched and unmatched uncertainties/disturbances. A benchmark example illustrates a good workability of the suggested technique. © 2010 John Wiley & Sons, Ltd. © 2010 John Wiley & Sons, Ltd.
Original languageAmerican English
Pages (from-to)473-487
Number of pages424
JournalInternational Journal of Robust and Nonlinear Control
DOIs
StatePublished - 25 Mar 2011
Externally publishedYes

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Linear systems
Actuators
Controllers
Linear matrix inequalities
Uncertainty

Cite this

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AB - A methodology for the design of sliding mode controllers for perturbed quasi-linear systems in the presence of actuators is presented. This technique is based on the invariant ellipsoid method and given in terms of the solution of a set of linear matrix inequalities. The provided methodology allows the design of the controller parameters ensuring global convergence of the states to a suboptimal ellipsoidal region around the origin even in the presence of both matched and unmatched uncertainties/disturbances. A benchmark example illustrates a good workability of the suggested technique. © 2010 John Wiley & Sons, Ltd. © 2010 John Wiley & Sons, Ltd.

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