论文标题
基于能量的内域控制和无限维港口系统的观察者设计
Energy-Based In-Domain Control and Observer Design for Infinite-Dimensional Port-Hamiltonian Systems
论文作者
论文摘要
在本文中,我们考虑了具有基于Stokes-Dirac结构的方法以及利用基本的喷射捆绑结构的框架,我们考虑了具有内域驱动的无限港口港口系统。在这两个框架中,都得出了基于能量卡西米尔方法的动态控制器,以稳定某些平衡。此外,我们提出了通过利用阻尼注射到观察者误差来推导的分布式参数观察者。最后,我们通过一个内域驱动的振动字符串比较这些方法,并显示两个框架中得出的控制方案的等效性。
In this paper, we consider infinite-dimensional port-Hamiltonian systems with in-domain actuation by means of an approach based on Stokes-Dirac structures as well as in a framework that exploits an underlying jet-bundle structure. In both frameworks, a dynamic controller based on the energy-Casimir method is derived in order to stabilise certain equilibrias. Moreover, we propose distributed-parameter observers deduced by exploiting damping injection for the observer error. Finally, we compare the approaches by means of an in-domain actuated vibrating string and show the equivalence of the control schemes derived in both frameworks.