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A robust Sliding Mode Controller for a class of bilinear delayed systems

Abstract : In this paper we propose a Sliding Mode Controller for a class of scalar bilinear systems with delay in both the input and the state. Such a class is considered since it has shown to be suitable for modelling and control of a class of turbulent flow systems. The stability and robustness analysis for the reaching phase in the controlled system are Lyapunov-based. However, since the sliding dynamics is infinite dimensional and described by an integral equation, we show that the stability and robustness analysis is simplified by using Volterra operator theory.
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https://hal.inria.fr/hal-01763373
Contributor : Andrey Polyakov <>
Submitted on : Wednesday, April 11, 2018 - 9:13:48 AM
Last modification on : Friday, December 11, 2020 - 6:44:04 PM

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Tonametl Sanchez, Andrey Polyakov, Jean-Pierre Richard, Denis Efimov. A robust Sliding Mode Controller for a class of bilinear delayed systems. VSS18 - 15th International Workshop on Variable Structure Systems and Sliding Mode Control, Apr 2018, Graz, Austria. ⟨hal-01763373⟩

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