Remarks on input-to-state stability of collocated systems with saturated feedback

Birgit Jacob; Felix L. Schwenninger; Lukas A. Vorberg

doi:10.48550/arXiv.2001.01636

Remarks on input-to-state stability of collocated systems with saturated feedback

Birgit Jacob, Felix L. Schwenninger, Lukas A. Vorberg

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Abstract

We investigate input-to-state stability (ISS) of infinite-dimensional collocated control systems subject to saturated feedback. Here, the unsaturated closed loop is dissipative and uniformly globally asymptotically stable. Under an additional assumption on the linear system, we show ISS for the saturated one. We discuss the sharpness of the conditions in light of existing results in the literature.

Original language	English
Publisher	ArXiv.org
Number of pages	12
DOIs	https://doi.org/10.48550/arXiv.2001.01636
Publication status	Published - 6 Jan 2020

Keywords

math.OC
math.AP
math.FA
37L15, 93D20, 93C20, 93C10

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10.48550/arXiv.2001.01636

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Remarks on input-to-state stability of collocated systems with saturated feedback
Jacob, B., Schwenninger, F. L. & Vorberg, L. A., 1 Sept 2020, In: Mathematics of Control, Signals, and Systems. 32, 3, p. 293-307 15 p.
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Remarks on input-to-state stability of collocated systems with saturated feedback

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Remarks on input-to-state stability of collocated systems with saturated feedback

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