学术预告 首页  >  学术科研  >  学术预告  >  正文

“庆祝建校四十年”系列学术活动之三元名家论坛:Saturated boundary feedback stabilization for a non-uniform Timoshenko beam with disturbances and uncertainties
作者:     供图:     供图:     日期:2024-11-11     来源:    

讲座主题:Saturated boundary feedback stabilization for a non-uniform Timoshenko beam with disturbances and uncertainties

专家姓名:韩忠杰

工作单位:天津大学

讲座时间:2024年11月12日08:40-09:20

讲座地点:数学院大会议室341

主办单位:欧宝官方app下载数学与信息科学学院

内容摘要:

This talk 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. Some numerical simulations are carried out to validate the effectiveness of the proposed control strategy.

主讲人介绍:

韩忠杰,天津大学数学学院教授,博士生导师,主要从事分布参数系统控制理论方面的研究。主要成果发表在SIAM Journal on Control and Optimization, SIAM Journal on Applied Mathematics, IEEE Transactions on Automatic Control, Journal of Differential Equations, ESAIM - Control Optimisation and Calculus of Variations等控制理论及应用数学相关学术期刊,主持国家自然科学基金项目多项。

Baidu
map