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

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

doi:10.1007/s00498-020-00264-w

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

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

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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
Pages (from-to)	293-307
Number of pages	15
Journal	Mathematics of Control, Signals, and Systems
Volume	32
Issue number	3
DOIs	https://doi.org/10.1007/s00498-020-00264-w
Publication status	Published - 1 Sept 2020

Keywords

Collocated system
Infinite-dimensional system
Input-to-state stability
Saturation
Semilinear system

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Jacob-2020-Remarks-on-input-to-state-stabilityFinal published version, 327 KBLicence: CC BY

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AU - Schwenninger, Felix L.

AU - Vorberg, Lukas A.

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N2 - 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.

AB - 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.

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KW - Infinite-dimensional system

KW - Input-to-state stability

KW - Saturation

KW - Semilinear system

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JO - Mathematics of Control, Signals, and Systems

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ER -

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

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Keywords

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Remarks on input-to-state stability of collocated systems with saturated feedback (vol 32, pg 293, 2020): Remarks on input-to-state stability of collocated systems with saturated feedback (Mathematics of Control, Signals, and Systems, (2020), 32, 3, (293-307), 10.1007/s00498-020-00264-w)

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