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
DOI: 10.12677/AAM.2018.712171, PDF,   
作者: 王立萍, 金凤飞：山东师范大学数学与统计学院，山东 济南
关键词: 输出反馈；Back-Stepping；稳定性；控制器设计；Output Feedback； Back-Stepping； Stabilization； Controller Design
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。
Abstract: 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.
文章引用：王立萍, 金凤飞. 耦合二阶ODE波系统的输出反馈镇定[J]. 应用数学进展, 2018, 7(12): 1477-1485. https://doi.org/10.12677/AAM.2018.712171

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