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Communication Dans Un Congrès Année : 2017

An LMI-based $H_{\infty}$ discrete-time non linear state observer design for an anaerobic digestion model

Résumé

This paper is devoted to the design of an $H_{\infty}$ discrete-time non linear state observer for an anaerobic digestion model. Indeed, the designed observer can be used for different class of systems, mainly linear systems, LPV systems with known and bounded parameters, and non linear Lipschitz systems. We use an LMI approach to guarantee the $H_{\infty}$ asymptotic stability of the estimation error despite the disturbances affecting the system dynamics and measurements. The synthesised LMI is relaxed due to the inclusion of additional decision variables which enhance its feasibility. This was possible due to the use of a suitable reformulation of the Young's inequality. Simulation results are given to show the robustness of the designed observer.
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Dates et versions

hal-01567351 , version 1 (12-01-2018)

Identifiants

  • HAL Id : hal-01567351 , version 1

Citer

Khadidja Chaib Draa, Holger Voos, Marouane Alma, Ali Zemouche, Mohamed Darouach. An LMI-based $H_{\infty}$ discrete-time non linear state observer design for an anaerobic digestion model. IFAC 2017 - 20th World Congress of the International Federation of Automatic Control, Jul 2017, Toulouse, France. ⟨hal-01567351⟩
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