Output tracking for one-dimensional Schrödinger equation with boundary control unmatched disturbance

This paper considers the output tracking for one-dimensional Schrödinger equation with disturbance via noncollocated boundary control. Firstly, we design an infinite-dimensional disturbance estimator to estimate the disturbance by virtue of the output and infinite structure of the system. Secondly, the adaptive servomechanism is designed to achieve the performance output tracking and the tracking error ũ(1; t) 2 L2(0; 1) and all the internal-loops are bounded. Finally, we present some numerical simulations to illustrate the effectiveness of the proposed scheme. © 2021, Editorial Department of Control Theory & Applications South China University of Technology. All right reserved.