Stabilization for a Flexible Beam With Tip Mass and Control Matched Disturbance

• 成果类型: Article
• 署名作者: Mei, Zhan-Dong
• 署名单位: Xi'an Jiaotong University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3318196
• 发表日期: 2024
• 页码: 3238-3245
• 关键词: Beam equation; disturbance estimator; exponential stability; Riesz basis

摘要

This article 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 noncollocated 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 existing result in (Conrad et al. 1998) 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.