Predictive control of parabolic PDEs with state and control constraints

Abstract This work focuses on predictive control of linear parabolic partial differential equations (PDEs) with state and control constraints. Initially, the PDE is written as an infinite‐dimensional system in an appropriate Hilbert space. Next, modal decomposition techniques are used to derive a finite‐dimensional system that captures the dominant dynamics of the infinite‐dimensional system, and express the infinite‐dimensional state …