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A Robust State Estimation Framework Employing a Nonlinear PI2 Observer for Photobioreactor Monitoring

delete2026-03-10
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PRE
AI
V
Vicente Peña Caballero
R
Rodriguez-Mata, Abraham Efraim *
P
Pablo Antonio López-Pérez *
D
Dulce J. Hernández-Melchor
V
V. González-Huitrón
DOI:10.3390/appliedmath6030044delete
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Abstract

Abstract

En 中文
This work proposes an integral-enhanced nonlinear PI2 state observer for the robust estimation of unmeasured states in nonlinear dynamic systems, with experimental validation on a flat-panel photobioreactor. The observer is designed as a virtual sensor to reconstruct key biological variables using a reduced set of online measurements and known operating conditions. Compared with a conventional extended Luenberger observer, the proposed structure improves estimation accuracy and robustness against constant disturbances and model mismatch, which are common in bioprocess applications. The experimental results show a clear performance advantage during transient growth phases while highlighting that the method relies on a locally valid model structure and appropriate gain tuning. Overall, the proposed observer provides a practical and scalable monitoring tool for nonlinear systems where the direct measurement of critical state is not feasible.
Keywords:
nonlinear state observer
integral action
PI(2) observer
robust state estimation
virtual sensors
uncertain nonlinear systems
photobioreactor monitoring

Journal

A
APPLIEDMATH
IF:
0.7
Papers:
111
Citations:
0

Organization

U
Universidad Autonoma del Estado de Hidalgo
Scholars:
280
Papers: 100
Citations: 0
C
colegio de postgraduados - mexico
Scholars:
1.6K
Papers: 815
Citations: 0
Universidad de Guanajuato cover
Universidad de Guanajuato
Scholars:
3.8K
Papers: 2.8K
Citations: 1.9K
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