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Energy-Based In-Domain Control and Observer Design for Infinite-Dimensional Port-Hamiltonian Systems ? ?

机译:无限维端口 - 汉密尔顿系统的能源 - 域控制和观测器设计

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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.
机译:在本文中,我们考虑通过基于Stokes-Diac结构的方法以及利用底层喷射束结构的框架来考虑具有域致动的无限维哈密顿系统。 在两个框架中,导出了一种基于能量Casimir方法的动态控制器,以稳定某些均衡。 此外,我们提出了通过利用阻尼喷射而推断的分布式参数观察者,以便观察者误差。 最后,我们通过域致动的振动串进行比较方法,并显示两个框架中导出的控制方案的等价。

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