Predictive control of parabolic PDEs with boundary control actuation |
| |
Authors: | Stevan Dubljevic |
| |
Affiliation: | Department of Chemical and Biomolecular Engineering, University of California, Los Angeles, CA 90095, USA |
| |
Abstract: | This work focuses on predictive control of linear parabolic partial differential equations (PDEs) with boundary control actuation subject to input and state constraints. Under the assumption that measurements of the PDE state are available, various finite-dimensional and infinite-dimensional 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. |
| |
Keywords: | Diffusion-reaction processes Dissipative systems Boundary control Parabolic PDEs Model predictive control Input/state constraints |
本文献已被 ScienceDirect 等数据库收录! |