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Improving robust stability by increasing the number of controlled degrees of freedom

Tudor-Bogdan Airimitoaie 1 Christophe Collewet 2, 1 
1 FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences
IRMAR - Institut de Recherche Mathématique de Rennes, Inria Rennes – Bretagne Atlantique , INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement
Abstract : In this article we demonstrate the necessity of increasing the number of controlled degrees of freedom when controlling an uncertain system. We show this on an infinite dimensional system representative of reaction-diffusion problems. However, our final goal is concerned with fluid flow control. In both cases, fluid flow control or reaction-diffusion problems, a common approach to control is based on a spatial discretization followed by some linear control design. Unfortunately, this approach is sensitive to uncertainties in- troduced during linearization of the nonlinear system. In this paper, we show that robust stability is dependent on the number of controlled degrees of freedom and performance of a closed loop system can be improved by considering this aspect.
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https://hal.inrae.fr/hal-02606200
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Submitted on : Saturday, May 16, 2020 - 12:03:53 PM
Last modification on : Friday, May 20, 2022 - 9:05:05 AM

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  • HAL Id : hal-02606200, version 1
  • IRSTEA : PUB00054642

Citation

Tudor-Bogdan Airimitoaie, Christophe Collewet. Improving robust stability by increasing the number of controlled degrees of freedom. 7th AIAA Flow Control Conference, Jun 2014, Atlanta, United States. pp.7. ⟨hal-02606200⟩

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