Constrained control and switching sampled-data control of PDE systems

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 it 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.

报告人简介：康文，北京理工大学研究员、博士生导师，现担任SCI期刊IMA Journal of Mathematical Control and Information副主编、IFAC MICNON副主编，IEEE高级会员、中国自动化学会高级会员，中国指挥与控制学会、中国人工智能学会、北京交叉学会专委会委员。长期从事分布参数系统、时滞系统、智能控制等方面的研究，取得了一系列创新性成果，发表学术论文50余篇，其中发表在控制方向顶级期刊Automatica, IEEE Transactions on Automatic Control等30余篇。获得北京市科技新星、小米青年学者、北京市优秀人才青年骨干、中国科协中外优秀青年、北京交叉科学大会优秀报告奖等荣誉。主持国家级与省部级项目十余项， 其中包括国家自然科学基金-国际（地区）合作研究项目、面上项目、青年项目，国家高端外专引智项目，北京市科技新星人才计划，北京市科技新星交叉合作项目，北京市优秀人才资助计划，广东省面上项目等。