2022-04-30 信息来源：腾讯会议
举办单位：数学科学学院
负责人姓名：郝江浩
电话：13835184047
活动主题：Proportional collocated and non-collocated feedback stabilization of unstable rotating disk-wave/beam systems
形式：线上学术报告
内容摘要：In this talk, we consider the stabilization of unitized rotating disk-wave/beam systems, which consist of a uniform cable/beam attached to the center of a disk rotating at a constant angular velocity. When the angular velocity is greater than the square root of the first eigenvalue of the free system operator, there exists at least one positive eigenvalue of the systems, so that only collocated static feedback control cannot stabilize the systems. This is why the existing literature usually considers the case where the admissible angular velocity is always less than the square root of the first eigenvalue of the free system operator. To overcome this obstacle, we design a static proportional feedback control with both collocated and non-collocated measurements to stabilize the systems, where the admissible angular velocity is improved while ensuring that the systems are minimum-phase. Detailed spectral analysis shows that the spectrum of the closed-loop systems is in the left-half complex plane. By the Riesz basis approach, the stability of the closed-loop systems is proved. Numerical simulation results demonstrate the effectiveness of the control design.
主讲人基本情况：王军民，北京理工大学教授、博导。研究领域：无穷维系统控制理论与应用。2004年在香港大学获博士学位，2009年为北京理工大学教授。主持国家自然科学基金5项，自然科学重点基金子课题1项，发表学术期刊论文100多篇，撰写专著2部。2007年入选教育部新世纪优秀人才、2012年获北京市科学技术二等奖、2019年获教育部自然科学二等奖、《Control Theory and Technology》期刊副主编，指导毕业博士研究生12名，硕士研究生13名。
听众范围：数学科学学院师生
举办时间：2022年5月4日
举办地点：腾讯会议
报告类型：理科类
