Sliding Mode Control Design for Linear Evolution Equations with Uncertain Measurements and Exogenous Perturbations

Sergiy Zhuk 1 Andrey Polyakov 2 Olexander Nakonechnyi 3
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 paper studies the problem of sliding mode control design for linear evolution equations with incomplete and noisy measurements of the output and additive exogenous disturbances. The key result of the paper is an algorithm, generating an output-based feedback, which steers the state as close as possible to a given sliding hyperplane in a finite time. The optimality of the designed feedbacks is proven. The efficacy of the proposed algorithm is illustrated by a numerical example.
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Sergiy Zhuk, Andrey Polyakov, Olexander Nakonechnyi. Sliding Mode Control Design for Linear Evolution Equations with Uncertain Measurements and Exogenous Perturbations. 20th IFAC World Congress, Jul 2017, Toulouse, France. ⟨hal-01505484⟩

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