An LMI-Based H_infty Discrete-Time Nonlinear State Observer Design for an Anaerobic Digestion Model

Chaib Draa, Khadidja; Voos, Holger

Reference : An LMI-Based H_infty Discrete-Time Nonlinear State Observer Design for an Anaerobic D...


	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/10993/32190

Title :	An LMI-Based H_infty Discrete-Time Nonlinear State Observer Design for an 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)]
Publication date :	Jul-2017
Main document title :	World Congress of the International Federation of Automatic Control, Toulouse 9-14 July 2017
Peer reviewed :	Yes
Event name :	World Congress of the International Federation of Automatic Control (IFAC 2017)
Event date :	from 09-07-2017 to 14-07-2017
Event place (city) :	Toulouse
Event country :	France
Keywords :	[en] Control Engineering ; observer design
Abstract :	[en] This paper is devoted to the design of an H1 discrete-time nonlinear state observer for an anaerobic digestion model. Indeed, the designed observer can be used for di erent class of systems, mainly linear systems, LPV systems with known and bounded parameters, and nonlinear Lipschitz systems. We use an LMI approach to guarantee the H1 asymptotic stability of the estimation error despite the disturbances a ecting the system dynamics and measurements. The synthesised LMI is relaxed due to the inclusion of additional decision variables which enhance its feasibility. This was possible due to the use of a suitable reformulation of the Young's inequality. Simulation results are given to show the robustness of the designed observer.
Permalink :	http://hdl.handle.net/10993/32190

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