Sampled-Data H∞ Control of Semilinear Fractional Reaction Diffusion Systems

In this work, we think about the H
∞
control problem for a class of semilinear fractional-order reaction-diffusion system. For such system, the static feedback controller is designed with spatially sampled-data and continuous in time. Here we suppose that the sampled-in-space intervals are bounded, under point measurements (PMs), by using the fractional Lyapunov method, we have designed an H
∞
controller based on sampled-data such that the designed controller reduces the impact of the external disturbance on the system.