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Sliding mode parameter adjustment for perturbed linear systems with actuators via invariant ellipsoid method
Author(s) -
Davila J.,
Poznyak A.
Publication year - 2011
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1599
Subject(s) - ellipsoid , control theory (sociology) , benchmark (surveying) , actuator , invariant (physics) , linear matrix inequality , convergence (economics) , mode (computer interface) , controller (irrigation) , computer science , mathematics , mathematical optimization , control (management) , physics , artificial intelligence , geology , economics , geodesy , astronomy , economic growth , mathematical physics , operating system , agronomy , biology
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. Copyright © 2010 John Wiley & Sons, Ltd.