Reference : LMI-Based H_infty Nonlinear State Observer Design for Anaerobic Digestion Model
 Document type : Scientific congresses, symposiums and conference proceedings : Paper published in a book Discipline(s) : Engineering, computing & technology : Electrical & electronics engineering To cite this reference: http://hdl.handle.net/10993/32189
 Title : LMI-Based H_infty Nonlinear State Observer Design for Anaerobic Digestion Model Language : English Author, co-author : Chaib Draa, Khadidja [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >] Voos, Holger [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit > ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT)] Alma, Marouane [] Zemouche, Ali [] Darouach, Mohamed [] Publication date : Jul-2017 Main document title : IEEE Mediterranean Conference on Control and Automation, Valletta 3-6 July 2017 Peer reviewed : Yes Event name : IEEE Mediterranean Conference on Control and Automation (Med 2017) Event date : from 03-07-2017 to 06-07-2017 Event place (city) : Valletta Event country : Malta Keywords : [en] Control Engineering Abstract : [en] 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. Permalink : http://hdl.handle.net/10993/32189

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