ROBUST SENSOR FAULT DETECTION AND ISOLATION OF AN ANERAROBIC BIOREACTOR MODELED AS A DESCRIPTOR-LPV SYSTEM F.R. LÓPEZ ESTRADA, J.H. CASTAÑON-GONZALES (TecNM - Instituto Tecnológico de Tuxla Gutiérrez, México) J.C. PONSART, D. THEILLIOL (CRAN – University of Lorraine, Nancy, France) C. M. ASTORGA-Z (CENIDET, Cuernavaca, México) [email protected]Request for the paper
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Robust sensor fault detection and isolation of an anerarobic bioreactor modeled as a descriptor-LPV system
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ROBUST SENSOR FAULT DETECTION AND ISOLATION OF AN ANERAROBIC BIOREACTOR
MODELED AS A DESCRIPTOR-LPV SYSTEM
F.R. LÓPEZ ESTRADA, J.H. CASTAÑON-GONZALES (TecNM - Instituto Tecnológico de Tuxla Gutiérrez, México)
J.C. PONSART, D. THEILLIOL (CRAN – University of Lorraine, Nancy, France)
A bioreactor is a vessel in which a bioprocess is carried out which involves microorganism or biochemical active substances derived from such organism.
The bioreactors are usually used for microorganism reproduction or to obtain a final product from the cultivated medium
• A mathematical model of a bioreactor describes how the bio-reaction between the bacterias and the subtract is produced
• The model is composed by nonlinear differential equations that describe the slow dynamic of the system, and algebraic equations describe the fast dynamic
• By integrating these both dynamics, it is possible to model a bioreactor as a descriptor nonlinear system
Nonlinear systems are complex, and the equations are difficult to handle
How to reduce the complexity of these equations without loss compromise between representation and controllability ?
In order to estimate the unmeasurable Gain scheduling function the first challenge is to design an observer state by considering the system without faults.
Then, for the D-qLPV system
The following LPV observer is proposed
Note that the observer and thesystems scheduling functions
To deal with Unmeasurable Gain scheduling Functions, the D-qLPV system is transformed into an uncertain system with estimated scheduling function as follows: