LMI-based discrete-time nonlinear state observer for an anaerobic digestion model

Abstract : This paper deals with the design of a discrete time nonlinear observer for an anaerobic digestion process. The designed observer is devoted to a general class of systems, precisely linear systems, LPV systems with known and bounded parameters, and nonlinear Lipschitz systems. In order to ensure stability of the estimation error, a new LMI condition is proposed. In this LMI, additional decision variables are included to enhance its feasibility. Indeed, this was possible due to the use of a suitable reformulation of the Young’s inequality. Numerical simulations using the investigated two-step anaerobic digestion model show the effectiveness of the proposed LMI methodology.
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Khadidja Chaib Draa, Holger Voos, Marouane Alma, Ali Zemouche, Mohamed Darouach. LMI-based discrete-time nonlinear state observer for an anaerobic digestion model. 6th International Conference on Systems and Control, ICSC 2017, May 2017, Batna, Algeria. ⟨10.1109/icosc.2017.7958714 ⟩. ⟨hal-01567354⟩

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