On Output-based Sliding Mode Control Design Using Minimax Observer

Sergiy Zhuk 1 Andrey Polyakov 2
2 NON-A - Non-Asymptotic estimation for online systems
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189, Inria Lille - Nord Europe
Abstract : The classical problem of the sliding mode control design, which guarantees finite-time reaching and further system motion on a linear hyperplane, is considered for the linear time-invariant disturbed system with the noised measurements of the output. The control law, which provides to the closed-loop system the optimal reaching (as close as possible) of the selected sliding surface, is designed using minimax state observer. The case of discontinuous and continuous admissible feedbacks are studied. The theoretical results are supported by numerical simulations.
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Sergiy Zhuk, Andrey Polyakov. On Output-based Sliding Mode Control Design Using Minimax Observer. International Workshop on Variable Structure Systems, Jun 2014, Nantes, France. ⟨hal-01071233v2⟩

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