Abstract
In this paper, we consider the output feedback exponential stabilization problem of an ODE-Schroodinger cascade systems with the external disturbance. We propose a new extended state observer (ESO) that estimates both state and disturbance, then design a stabilizing control law by utilizing the backstepping approach. The resulting closed-loop system is shown to be exponentially stable with guaranteeing that all internal systems involved are uniformly bounded.
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