论文标题
一类线性无限维系统的滑动模式控制
Sliding mode control for a class of linear infinite-dimensional systems
论文作者
论文摘要
本文介绍了具有无界控制算子并受到边界干扰的一类线性无限二维系统的稳定。我们假设存在一项线性反馈定律，该法律使闭环系统的起源在没有干扰的情况下在全球渐近稳定。为了实现我们的目标，我们遵循滑动模式策略，并在此控制器中添加了另一个术语，以拒绝干扰。我们证明了闭环系统及其全球渐近稳定性的解决方案的存在，同时确保拒绝干扰。
This paper deals with the stabilization of a class of linear infinite-dimensional systems with unbounded control operators and subject to a boundary disturbance. We assume that there exists a linear feedback law that makes the origin of the closed-loop system globally asymptotically stable in the absence of disturbance. To achieve our objective, we follow a sliding mode strategy and we add another term to this controller in order to reject the disturbance. We prove the existence of solutions to the closed-loop system and its global asymptotic stability, while making sure the disturbance is rejected.
