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LMI-Based H_infty Nonlinear State Observer Design for Anaerobic Digestion Model
Chaib Draa, Khadidja; Voos, Holger; Alma, Marouane et al.
2017In IEEE Mediterranean Conference on Control and Automation, Valletta 3-6 July 2017
Peer reviewed
 

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Keywords :
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.
Disciplines :
Electrical & electronics engineering
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
External co-authors :
yes
Language :
English
Title :
LMI-Based H_infty Nonlinear State Observer Design for Anaerobic Digestion Model
Publication date :
July 2017
Event name :
IEEE Mediterranean Conference on Control and Automation (Med 2017)
Event place :
Valletta, Malta
Event date :
from 03-07-2017 to 06-07-2017
Main work title :
IEEE Mediterranean Conference on Control and Automation, Valletta 3-6 July 2017
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 12 September 2017

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