论文标题
对观察者误差的稳定性分析
Stability Analysis of the Observer Error of an In-Domain Actuated Vibrating String
论文作者
论文摘要
在本文中，分析了观察者驱动的振动字符串的观察者误差的行为，其中观察者系统是根据利用港口哈米尔顿港系统表示无限二维系统的能量考虑的设计。因此，观察者 - 纠正动力学被重新归根图为一个抽象的库奇问题，这使得能够就观察者 - 纠纷系统的适当性得出结论。此外，我们表明观察者误差是通过将LaSalle的不变性原理应用于无限维系统而渐近稳定的。
In this paper, the behaviour of the observer error of an in-domain actuated vibrating string, where the observer system has been designed based on energy considerations exploiting a port-Hamiltonian system representation for infinite-dimensional systems, is analysed. Thus, the observer-error dynamics are reformulated as an abstract Cauchy problem, which enables to draw conclusions regarding the well-posedness of the observer-error system. Furthermore, we show that the observer error is asymptotically stable by applying LaSalle's invariance principle for infinite-dimensional systems.
