Stabilization for the multi-dimensional heat equation with disturbance on the controller

In this paper, we consider stabilization for a multi-dimensional heat equation with internal control matched disturbance. The active disturbance rejection control approach is adopted in this work. First of all, we estimate the disturbance in terms of the output. Then we cancel the disturbance by its approximation. In the end, we design some control strategies to stabilize the anti-stable system.