讨论了边界带有不确定扰动的一维~Timoshenko~ 梁方程的边界反馈稳定性. 运用的方法主要是 自抗扰控制, 其主要思想是通过构造常数高增益扩张状态观测器将扰动在线估计并在反馈控制中实时消除. 最后通过李雅普诺夫方法证明了闭环系统具有实用稳定性.

In this paper, we are concerned with the stabilisation for Timoshenko beam model with boundary disturbance. Active disturbance rejection control (ADRC) approach is adopted in investigation. It is shown that the disturbance can be estimated in real time through an extended state observer (ESO) and be canceled in the feedback loop. The closed-loop systems with constant high gain is shown to be practically stable by the Lyapunov approach.