García, Míriam R. and Vilas, Carlos and Santos, Lino O. and Alonso, Antonio A.
A Robust Multi-Model Predictive Controller for
Distributed Parameter Systems.
Journal of Process Control, 22 (1).
In this work a robust nonlinear model predictive controller for nonlinear
convection-diusion-reaction systems is presented. The controller makes use
of a collection of reduced order approximations of the plant (models) reconstructed
on-line by projection methods on POD (Proper Orthogonal Decomposition)
basis functions. The model selection and model update step
is based on a sucient condition that determines the maximum allowable
process-model mismatch to guarantee stable control performance despite process
uncertainty and disturbances. Proofs on the existence of a sequence of
feasible approximations and control stability are given.
Since plant approximations are built on-line based on actual measurements
the proposed controller can be interpreted as a multi-model nonlinear
predictive control (MMPC). The performance of the MMPC strategy is illustrated by simulation experiments on a problem that involves reactant
concentration control of a tubular reactor with recycle.
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