García, Míriam R. and Vilas, Carlos and Banga, Julio R. and Alonso, Antonio A.
Exponential Observers for Distributed
AIChE Journal, 54 (11).
In this work, the dissipative nature of spatially distributed process systems is exploited
to develop efficient exponential state observers based on a low dimensional
dynamic representation of the original set of partial differential equations. The approach
we suggest combines standard observer design techniques for reactors where
the reaction rates are unknown with efficient model reduction methodologies based
on projection of the original concentration and temperature fields on low dimensional
subspaces capturing the slow dynamics of the process. The global exponential
stability of the resulting observer is derived combining classical Lyapunov analysis
with a transformation that allows us to obtain a diffusion system from a diffusionconvection
system. In addition aspects related to the location of sensors and their
influence on the ability to reconstruct the necessary fields to feed the observer will
also be considered.
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