Adaptive Output-Feedback Stabilization for PDE-ODE Cascaded Systems with Unknown Control Coefficient and Spatially Varying Parameter  

作　　者：LI Xia LIU Yungang LI Jian XU Zaihua 

机构地区：[1]School of Control Science and Engineering,Shandong University,Jinan 250061,China [2]School of Mathematics and Information Science,Yantai University,Yantai 264005,China

出　　处：《Journal of Systems Science & Complexity》2021年第1期298-313,共16页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundations of China under Grant Nos.61821004,61873146 and 61773332;the Special Fund of Postdoctoral Innovation Projects in Shandong Province under Grant No.201703012。

摘　　要：This paper investigates the adaptive stabilization for a class of uncertain PDE-ODE cascaded systems. Remarkably, the PDE subsystem allows unknown control coefficient and spatially varying parameter, and only its one boundary value is measurable. This renders the system in question more general and practical, and the control problem more challenging. To solve the problem,an invertible transformation is first introduced to change the system into an observer canonical form,from which a couple of filters are constructed to estimate the unmeasurable states. Then, by adaptive technique and infinite-dimensional backstepping method, an adaptive controller is constructed which guarantees that all states of the resulting closed-loop system are bounded while the original system states converging to zero. Finally, a numerical simulation is provided to illustrate the effectiveness of the proposed method.

关 键 词：Adaptive stabilization OUTPUT-FEEDBACK PDE-ODE cascaded systems unknown control coefficient unknown spatially varying parameter 

分 类 号：O175[理学—数学] O231[理学—基础数学] TN713[电子电信—电路与系统]