国家天元数学中部中心学术报告 | 康文 研究员(北京理工大学)

发布时间: 2023-05-09 17:05

告题目:Constrained control and switching sampled-data control of PDE systems

报告时间:2023-05-12  16:00-17:00

报告人:康文 研究员  北京理工大学

腾讯会议ID:454 837 449  密码:0512

报告地点:理学院东北楼四楼报告厅

Abstract:This talk investigates constrained control and switched sampled-data control design for stabilization of PDE systems. On one hand, I will show boundary stabilization result for PDE systems with a time-varying state delay under actuator saturation via the backstepping method and find a bound on the domain of attraction. On the other hand, we focus on the study of switched sampled-data control design for stabilization of parabolic PDEs under the Dirichlet/periodic boundary conditions with spatially scheduled actuators. It is supposed that discrete-time point-like or averaged measurements are available. The system is known to be stabilizable by static output-feedback employing several distributed in space actuators and sensors, but is not stabilizable by only one of the actuator–sensor pairs. The proposed switching controller can be implemented either by actuators and sensors placed in each subdomain (here switching control may reduce the energy that the system spends) or by using one actuator–sensor pair that can move to the active subdomain.