LMI-Based H∞ Nonlinear State Observer Design for Anaerobic Digestion Model

被引：0

作者：

Draa, K. Chaib ^{[1
,2
]}

Voos, H. ^{[1
]}

Alma, M. ^{[3
]}

Zemouche, A. ^{[2
,4
]}

Darouach, M. ^{[3
]}

机构：

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

[2] Univ Lorraine, CNRS, CRAN, UMR 7039, F-54400 Cosnes Et Romain, France

[3] Univ Lorraine, IUT Longwy, CRAN, CNRS, Nancy, France

[4] CNRS, Supelec, Lab Signaux & Syst, EPI,INRIA,DISCO, F-91192 Gif Sur Yvette, France

来源：

2017 25TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED) | 2017年

关键词：

Anaerobic digestion; LMIs; Observer design; Nonlinear systems; H-infinity Criterion; SYSTEMS; IDENTIFICATION;

D O I：

暂无

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 note deals with the design of an H-infinity 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 the H-infinity 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.

引用

页码：678 / 683

页数：6

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