ROBUSTNESS OF OUTPUT FEEDBACK CONTROL FOR A WAVE-ODE CASCADED SYSTEM TO THE INPUT DELAY MISMATCH

. This paper investigates the robustness of output feedback control to the input delay mismatch for a wave-ODE cascaded system with the timevarying input and output delays. Firstly, we convert the output delay into a transport equation, resulting in a wave-ODE-transport coupled system. Secondly, we design an output feedback control for the coupled system without input delay mismatch, and prove the well-posedness and exponential stability of the closed-loop system. Then, the key point is that we prove that this control still works when there exists an input delay mismatch. Finally, some numerical simulations are given, which illustrate the effectiveness and robustness of the proposed control.