论文标题
具有尖端质量和对照匹配的干扰的柔性光束的稳定化
Stabilization for a Flexible Beam with Tip Mass and Control Matched Disturbance
论文作者
论文摘要
本文涉及带有尖端质量的柔性光束的输出反馈指数稳定。如果没有干扰，则表明只有一个非集中的测量足以通过构建无限维度Luenberger State观察者来指数稳定原始系统，以跟踪状态并设计基于估计的状态输出反馈控制法。从本质上讲，这改善了[F。 Conrad和O.Mörgül，Siam J. Control。，36（1998），1962- 1986年]，采用了包括高级反馈在内的两项共处测量。在考虑边界内部不确定性和外部干扰的情况下，构建了无限二维干扰估计器，以实时估计状态和总干扰。根据估计的状态和估计的总干扰，输出反馈控制定律旨在指数稳定原始系统，同时保证闭环系统的界限。提出了一些插图模拟。
This paper is concerned with the output feedback exponential stabilization for a flexible beam with tip mass. When there is no disturbance, it is shown that only one non-collocated measurement is enough to exponentially stabilize the original system by constructing an infinite-dimensional Luenberger state observer to track the state and designing an estimated state based output feedback control law. This essentially improves the existence result in [F. Conrad and O. Mörgül, SIAM J. Control Optim., 36 (1998), 1962-1986] where two collocated measurements including high order feedback were adopted. In the case that boundary internal uncertainty and external disturbance are considered, an infinite-dimensional disturbance estimator is constructed to estimate the state and total disturbance in real time. By virtue of the estimated state and estimated total disturbance, an output feedback control law is designed to exponentially stabilize the original system while guaranteeing the boundedness of the closed-loop system. Some illustration simulations are presented.
