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Sliding mode parameter adjustment for perturbed linear systems with actuators via invariant ellipsoid method. (English) Zbl 1214.93026
Summary: 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.

93B12 Variable structure systems
93C05 Linear systems in control theory
93C73 Perturbations in control/observation systems
Full Text: DOI
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