Feedback Control Design Using the Distributed Model with Diffusion

This chapter presents the feedback control design of an isolated ramp metering problem where we use the distributed model of the ramp system that also includes the diffusion term. Essentially, we are designing a feedback control law for the system whose model is the Burgers equation. We show the stability properties of the closed-loop system that is obtained by the application of the feedback control law on the ramp system. We verify the effectiveness of the feedback control law by running some simulation experiments using the designed feedback control law on the isolated ramp system.