On Stabilization of Partially Observed Infinite-Dimensional Semilinear Systems

This note adresses the stabilization problem around a desired equilibrium profile for a class of partially observed infinite-dimensional semilinear systems. We propose a stabilizing compensator based on Luenberger-like observer. We state convenient sufficient conditions under which the state converges to the desired equilibrium. The main result is then applied to a nonisothermal chemical plug flow reactors model. The approach is illustrated by numerical simulations.