A nonlinear observer design for an activated sludge wastewater treatment process

被引:40
|
作者
Boulkroune, B. [1 ]
Darouach, M. [1 ]
Zasadzinski, M. [1 ]
Gille, S. [2 ]
Fiorelli, D. [2 ]
机构
[1] Univ Nancy, CNRS, IUT Longwy, CRAN UMR 7039, 186 Rue Lorraine, F-54400 Cosnes Et Romain, France
[2] Ctr Rech Publ Henri Tudor, LTI, L-4009 Esch Sur Alzette, Luxembourg
关键词
Activated sludge; Wastewater treatment process; Lipschitz singular discrete-time systems; Nonlinear systems; Unknown inputs; LPV approach; PARAMETER-ESTIMATION; STATE; MODEL; SYSTEMS;
D O I
10.1016/j.jprocont.2009.07.017
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 treats the problem of estimating simultaneously the state and the unknown inputs of a class of nonlinear discrete-time systems. An observer design method for nonlinear Lipschitz discrete-time systems is proposed. By assuming that the linear part of this class of systems is time-varying, the state estimation problem of nonlinear system is transformed into a state estimation problem for LPV system. The stability analysis is performed using a Lyapunov function that leads to the solvability of linear matrix inequalities (LMIs). Performances of the proposed observer are shown through the application to an activated sludge process model. (C) 2009 Published by Elsevier Ltd.
引用
收藏
页码:1558 / 1565
页数:8
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