Event-Triggered Stabilization of Parabolic PDEs by Switching

Although switching-based stabilization of 1D parabolic systems was investigated by employing one actuator moving in spatial domain in our recent paper [18], this method increases the system cost since actuator and sensor switching happens at fixed time regardless of whether the switching is necessary or not. To further reduce operating and production cost, in the present paper, switching-based dynamic event-triggered control law is studied to stabilize the parabolic PDE systems via output-dependent switching law. Constructive exponential stability conditions are established by using Lyapunov method. A numerical example shows the effectiveness of the proposed methods.