耦合二阶ODE波系统的输出反馈镇定  

Output Feedback Stabilization of a Coupled Second Order ODE-Wave System

作　　者：王立萍 金凤飞 

机构地区：[1]山东师范大学数学与统计学院,山东济南

出　　处：《应用数学进展》2018年第12期1477-1485,共9页Advances in Applied Mathematics

摘　　要：本文考虑耦合二阶ODE波系统的边界输出反馈镇定问题。我们首先通过原系统的输出设计ODE波系统的观测器,并证明观测器的有效性。然后基于文献中给出的状态反馈控制器,我们设计出输出反馈控制器。利用算子半群方法和Back-stepping变换,证明了闭环系统在状态空间中具有唯一解,且闭环系统的解是渐近稳定的。In this paper, we are concerned with boundary output feedback stabilization of a coupled second order ODE-wave system. We first design an observer for ODE-wave system by output of original system and the effectiveness of observer is proved. Then an output feedback controller is proposed based on a state feedback controller in. Operator semi-group method and back-stepping transformation are adopted to prove that the resulting closed-loop system admits a unique solution in state space and the solution of closed-loop system is asymptotically stable.

关 键 词：输出反馈 Back-Stepping 稳定性 控制器设计 

分 类 号：TP2[自动化与计算机技术—检测技术与自动化装置]