References of "Zemouche, Ali"
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See detailLMI-Based H_infty Nonlinear State Observer Design for Anaerobic Digestion Model
Chaib Draa, Khadidja UL; Voos, Holger UL; Alma, Marouane et al

in IEEE Mediterranean Conference on Control and Automation, Valletta 3-6 July 2017 (2017, July)

This note deals with the design of an $H_{\infty}$ nonlinear state observer for the anaerobic digestion model. Positively, the designed observer is an unified one that can be used for different class of ... [more ▼]

This note deals with the design of an $H_{\infty}$ nonlinear state observer for the anaerobic digestion model. Positively, the designed observer is an unified one that can be used for different class of systems, mainly linear systems, Linear Parameter Varying (LPV) systems with known and bounded parameters, and nonlinear Lipschitz systems. Applying the Lyapunov theory and theH¥ criterion, Linear Matrix Inequality (LMI) condition is synthesised and solved to obtain the designed observer gains. The novelty of our work consists in the relaxation of the synthesized LMI condition through the inclusion of additional decision variables. This was possible due to the use of a suitable reformulation of the Young’s inequality. Stability, effectiveness and potency of the theoretical results are confirmed by the simulation results. [less ▲]

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See detailLMI-Based Discrete-Time Nonlinear State Observer for an Anaerobic Digestion Model
Chaib Draa, Khadidja UL; Voos, Holger UL; Alma, Marouane et al

in IEEE International Conference on Systems and Control, Batna 7-9 May 2017 (2017, May)

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 ... [more ▼]

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. [less ▲]

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