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Invariant ellipsoid method for minimization of unmatched disturbances effects in sliding mode control |
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| Authors: | Andrey Polyakov Alex Poznyak[Author vitae] |
| Affiliation: | aLaboratory of Adaptive and Robust Control Systems, Institute of Control Sciences, Russian Academy of Sciences, 117997, Moscow, Profsouznaya 65, Russia;bAutomatic Control Department, CINVESTAV-IPN, A.P. 14-740, C.P. 07360, Mexico D.F., Mexico |
| 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. |
| Keywords: | Sliding mode control Unmatched uncertainties Invariant ellipsoid method |
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