Late lumping of observer-based state feedback for boundary control systems

Marcus Riesmeier; Frank Woittennek

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arXiv · 2211.13784

Late lumping of observer-based state feedback for boundary control systems

Marcus Riesmeier·Frank Woittennek

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Abstract

Infinite-dimensional linear systems with unbounded input and output operators are considered. For the purpose of finite-dimensional observer-based state feedback, an observer approximation scheme will be developed which can be directly combined with existing late-lumping controllers and observer output injection gains. It relies on a decomposition of the feedback gain, resp. observer output injection gain, into a bounded and an unbounded part. Based on a perturbation result, the spectrum-determined growth condition is established, for the closed loop.

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BibTeX RIS

Marcus Riesmeier, Frank Woittennek. 2022-11-24. Late lumping of observer-based state feedback for boundary control systems. https://arxiv.org/abs/2211.13784

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