Funnel control in the presence of infinite-dimensional internal dynamics

Thomas Berger*, Marc Puche, Felix L. Schwenninger

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)

Abstract

We consider output trajectory tracking for a class of uncertain nonlinear systems whose internal dynamics may be modelled by infinite-dimensional systems which are bounded-input, bounded-output stable. We describe under which conditions these systems belong to an abstract class for which funnel control is known to be feasible. As an illustrative example, we show that for a system whose internal dynamics are modelled by a transport equation, which is not exponentially stable, we obtain prescribed performance of the tracking error.

Original languageEnglish
Article number104678
JournalSystems and control letters
Volume139
DOIs
Publication statusPublished - May 2020

Keywords

  • Adaptive control
  • BIBO stability
  • Funnel control
  • Infinite-dimensional systems

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