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Output-based Sliding Mode Control Design for Linear Plants with Multiplicative Disturbances: the minimax approach

Sergiy Zhuk 1 Andrey Polyakov 2
2 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : In this paper we consider a problem of sliding mode control design for LTI systems with multiplicative disturbances of the input and noisy measurements of the output. First, we apply the minimax observer to provide the best possible estimate of the system's state. Then we solve a problem of optimal reaching for the observer: we design sub-optimal control algorithms generating continuous and discontinuous feedback controls that steer the observer as close as possible to a given sliding hyperplane in a finite time. The theoretical results are illustrated by an academic example.
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https://hal.inria.fr/hal-01160062
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Submitted on : Thursday, June 4, 2015 - 1:24:20 PM
Last modification on : Tuesday, September 29, 2020 - 12:24:09 PM
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Sergiy Zhuk, Andrey Polyakov. Output-based Sliding Mode Control Design for Linear Plants with Multiplicative Disturbances: the minimax approach. European Control Conference 2015, Jul 2015, Linz, Austria. ⟨hal-01160062⟩

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