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

被引：2

作者：

Draa, K. Chaib ^{[1
]}

Voos, H. ^{[1
]}

Alma, M. ^{[2
]}

Zemouche, A. ^{[2
,3
]}

Darouach, M. ^{[2
]}

机构：

[1] Univ Luxembourg, Interdisciplinary Ctr Secur Reliabil & Trust SnT, Luxembourg, Luxembourg

[2] Univ Lorraine, CRAN UMR CNRS, IUT Longwy, Lorraine, France

[3] CNRS, Cent Supelec, Lab Signaux & Syst, EPI Inria DISCO, Gif Sur Yvette, France

来源：

IFAC PAPERSONLINE | 2017年 / 50卷 / 01期

关键词：

Anaerobic digestion; LMI approach; Discrete time observer design; Nonlinear systems; H-infinity Criterion; PARAMETER-ESTIMATION; SYSTEMS;

D O I：

10.1016/j.ifacol.2017.08.1635

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is devoted to the design of an H-infinity discrete-time nonlinear state observer for an anaerobic digestion model. Indeed, the designed observer can be used for different 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 H-infinity asymptotic stability of the estimation error despite the disturbances affecting 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. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：11547 / 11552

页数：6

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