Adaptive event-triggered output feedback control for uncertain parabolic PDEs

Motivated by the linearized model of unstable burning in solid propellant rockets, this article addresses the adaptive event-triggered output feedback control of uncertain parabolic PDEs. First, we construct an adaptive identifier that consists of a gradient estimator, and then design a continuous-in-time controller. On this basis, we design a novel event-triggered output feedback controller and construct dynamic triggering conditions to assure the global asymptotic stability of the closed-loop system around the limit points. Furthermore, the parameter estimation is proven to converge to the true value when an additional constant input at the boundary is applied to the closed-loop system. Finally, simulation data verifies the effectiveness of the theoretical analysis.