Seminar Details
2008-03-11 (14.00) : Near optimal and reverse time interval observers. Application to uncertain bioreactors
At Euler building
Organized by Mathematical Engineering
Speaker :
Marcelo MOISAN
( INRIA-Sophia Antipolis
)
Abstract :
In this seminar we propose a new interval observer for the estimation
of unmeasured variables of uncertain bioreactors. The observer is based on a class
of bounded error observers, that make use of a loose approximation of the bacterial
kinetics. We first show how to generate guaranteed upper and lower bounds on the unknown
state, provided that known intervals for the initial condition and the uncertainties are available.
An optimality criterion is then introduced, leading to the definition of an optimal observer.
We show that this criterion allows to determine a set of gains which generates the best
estimates. We extend the observer design introducing reverse time interval
observers. We show that running observers in reverse time improves dramatically the
convergence rate, through a discontinuous interval estimation procedure.
The method is applied to the estimation of the total biomass of an industrial wastewater
treatment plant, demonstrating its efficiency.