[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