A Robust Multi-Model Predictive Controller for Distributed Parameter Systems
García, Míriam R. and Vilas, Carlos and Santos, Lino O. and Alonso, Antonio A. (2012) A Robust Multi-Model Predictive Controller for Distributed Parameter Systems. Journal of Process Control, 22 (1). pp. 60-71. ISSN 0959-1524
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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