Output Tracking for One-Dimensional Schrödinger Equation subject to Boundary Disturbance

In this paper, we are concerned with the output reference signal tracking for a one dimensional Schrödinger equation subject to general harmonic disturbance at one end and the control at the another end. Based on the reference signal, we design a state reference system and the output feedback control to cancel the disturbance and track the output reference signal. We show that the whole closed-loop system is well-posed and the performance output is tracking the reference signal. The numerical experiments are carried out to illustrate the approach effective.