Brief paper: Invariant ellipsoid method for minimization of unmatched disturbances effects in sliding mode control

Authors:
Andrey Polyakov;Alex Poznyak
Affiliations:
Laboratory of Adaptive and Robust Control Systems, Institute of Control Sciences, Russian Academy of Sciences, 117997, Moscow, Profsouznaya 65, Russia;Automatic Control Department, CINVESTAV-IPN, A.P. 14-740, C.P. 07360, Mexico D.F., Mexico
Venue:
Automatica (Journal of IFAC)
Year:
2011

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Abstract

A new sliding mode control design algorithm for a linear and a class of nonlinear quasi-Lipschitz disturbed system is presented. It is based on the appropriate selection of the sliding surface via invariant ellipsoid method. The designed control guarantees minimization of unmatched disturbances effects to system motions in a sliding mode. The obtained theoretical results are approved by numerical simulations.