In this paper, we consider the output feedback exponential stabilization problem of ODE-Schrödinger cascade systems with the external disturbance. We propose a new extended state observer (ESO) that estimates both state and disturbance by the three output signals, then design a stabilizing control law by utilizing the backstepping technique. The resulting closed-loop system is shown to be exponentially stable guaranteeing that all internal systems involved are uniformly bounded. Finally, some numerical experiments are carried out to verify the effectiveness of the proposed control law.

中文翻译：

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边界控制匹配未知扰动的ODE-Schrödinger级联系统的输出反馈稳定

在本文中，我们考虑了带有外部干扰的ODE-Schrödinger级联系统的输出反馈指数稳定问题。我们提出了一种新的扩展状态观测器（ESO），它可以通过三个输出信号来估计状态和干扰，然后利用反推技术设计出稳定控制律。结果表明，所产生的闭环系统是指数稳定的，从而确保所涉及的所有内部系统都受到统一限制。最后，进行了一些数值实验，以验证所提出的控制律的有效性。