Network-based boundary observer-controller design for 1D heat equation

Abstract

We consider boundary stabilization of a reaction-diffusion equation under the boundary measurements. We study a network-based control in the presence of two networks: from sensor to controller and from the controller to actuator. We design an observer-based control law via modal decomposition approach. The observer is governed by a PDE leading to separation of the observer and the controller design. To reduce the workload of the second network, we suggest a novel switching-based dynamic event-triggering mechanism. A numerical example illustrates the efficiency of the method.