Stability for a Reaction-diffusion Equation Subject to Neumann Actuation Matched Disturbance

Using the active disturbance rejection control strategy,this paper studies the stability for a reaction-diffusion equation subject to Neumann actuation matched disturbance.The time varying extended state observer is designed to estimate the disturbance.And we get the explicit controller.Under this controller,it shows that the closed-loop system of reaction-diffusion equation is asymptotically stable.Simulation examples are illustrated these result.