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：hy590海洋之神平台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。