Adaptive Stabilization for A Class of Coupled PDE-ODE Systems with Multiple Unknown Parameters

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.

关键词： Coupled PDE-ODE systems spatially varying coefficient adaptive stabilization infinite-dimensional backstepping

作者: LI Jian LIU Yungang

作者单位: School of Mathematics and Information Science,Yantai University,Yantai 264005,P. R. China School of Control Science and Engineering,Shandong University,Jinan,250061,P. R. China

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 2646-2651

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）