标题：Adaptive stabilization for a class of coupled PDE-ODE systems with multiple unknown parameters
作者：Li, Jian ;Liu, Yungang
作者机构：[Li, Jian ] School of Mathematics and Information Science, Yantai University, Yantai; 264005, China;[Liu, Yungang ] School of Control Science and Engi 更多
会议名称：Proceedings of the 33rd Chinese Control Conference, CCC 2014
会议日期：28 July 2014 through 30 July 2014
来源：Proceedings of the 33rd Chinese Control Conference, CCC 2014
关键词：adaptive stabilization; Coupled PDE-ODE systems; infinite-dimensional backstepping; spatially varying coefficient
摘要：This paper investigates the adaptive stabilization for a class of coupled PDE-ODE systems with multiple unknown parameters. The systems under investigation are more general and representative, due to the presence of multiple unknown parameters and coupling between the sub-systems which makes the conventional methods on this topic ineffective. Motivated by the existing results, a reversible infinite-dimensional backstepping transformation with new kernel functions is first introduced to change the original system into a target system, which makes the control design and performance analysis of the original system quite convenient. Then, by certainty equivalence principle and Lyapunov method, an adaptive stabilizing controller is successfully constructed, which guarantees that all the closed-loop system states are bounded while the original system states converging to zero. © 2014 TCCT, CAA.