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arXiv · 2005.00293

Stability Analysis of the Observer Error of an In-Domain Actuated Vibrating String

Tobias Malzer·Hubert Rams·Bernd Kolar·Markus Schöberl
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Abstract

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.

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Tobias Malzer, Hubert Rams, Bernd Kolar, Markus Schöberl. 2020-05-01. Stability Analysis of the Observer Error of an In-Domain Actuated Vibrating String. https://doi.org/10.1109/lcsys.2020.3025414

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