BOUNDARY PREDICTIVE CONTROL OF PARABOLIC PDEs

Abstract

This work focuses on boundary model predictive control of linear parabolic partial differential equations (PDEs) with input and state constraints. Various predictive control formulations are presented and their ability to enforce stability and constraint satisfaction in the infinite-dimensional closed-loop system is analyzed. A numerical example of a linear parabolic PDE with unstable steady state and flux boundary control subject to state and control constraints is used to demonstrate the implementation and effectiveness of the predictive controllers.

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Cite this paper

@inproceedings{DubljevicBOUNDARYPC, title={BOUNDARY PREDICTIVE CONTROL OF PARABOLIC PDEs}, author={Stevan Dubljevic and Panagiotis D. Christofides} }