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 journalArticleAcademicpeer-review

2 Citations (Scopus)
10 Downloads (Pure)

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 languageEnglish
Pages (from-to)293-307
Number of pages15
JournalMathematics of Control, Signals, and Systems
Volume32
Issue number3
DOIs
Publication statusPublished - 1 Sep 2020

Keywords

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

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