Boundary predictive control of parabolic PDEs
Stevan DubljevićDepartment of Chemical and Biomolecular Engineering, University of California, Los Angeles, CA, USAP.D. ChristofidesDepartment of Chemical and Biomolecular Engineering, University of California, Los Angeles, CA, USA
2006en
ABI
Annotatsiya
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
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