Event-triggered intermittent boundary stabilization of nonlinear traffic density waves governed by diffusion-dispersion PDEs.

In this study, event-triggered intermittent boundary stabilization of nonlinear traffic density waves governed by diffusion-dispersion PDEs is investigated. The boundary controller is activated intermittently, and its input is updated by a state-dependent triggering rule, thereby reducing communication updates and actuator usage. Sufficient conditions for asymptotic stabilization that relate the triggering threshold, forced triggering interval, duty ratio, and boundary feedback gains are established via Lyapunov functionals. An observer-based extension is presented for limited state measurements, and robustness under bounded parametric uncertainties is analyzed. Simulations show that event-triggered intermittent boundary control (ET-IBC) converges in 1.853 s with 25 updates. Compared with continuous boundary control, the convergence time increases by only 14.4%; compared with periodic intermittent control, the convergence time decreases by 23.3%, and the final state energy is reduced by more than one order of magnitude.