Saturated Boundary Feedback Stabilization for a Nonuniform Timoshenko Beam With Disturbances and Uncertainties

• 成果类型: Article
• 署名作者: Wang, Shen; Han, Zhong-Jie; Zhao, Zhi-Xue; Cao, Xue-Guang
• 署名单位: Tianjin University; Tianjin Normal University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3319167
• 发表日期: 2024
• 页码: 3230-3237
• 关键词: uncertainty; Feedback control; stability analysis; Frequency-domain analysis; control design; asymptotic stability; actuators; disturbance estimator; frequency-domain method; saturated control; stabilization; Timoshenko beam

摘要

This article is concerned with the saturated feedback stabilization for a nonuniform Timoshenko beam with boundary control matched unknown internal uncertainties and external disturbances. An infinite-dimensional disturbance estimator without involving high gain is designed to estimate the total disturbances. By compensating/canceling the total disturbances in the feedback loop and combining with a collocated stabilizing controller without uncertainty, we propose an unsaturated feedback control to exponentially stabilize the system. Under the boundedness assumption on the magnitudes of the total disturbances, we further propose a saturated control to asymptotically stabilize the system. In addition to the actuator amplitude saturation, the control energy consumption is also reduced sharply. The well-posedness and stability of the closed-loop system are proved mainly by the semigroup theories and the frequency-domain method. Finally, some numerical simulations are carried out to validate the effectiveness of the proposed control strategy.