Funnel control in the presence of infinite-dimensional internal dynamics

Thomas Berger; Marc Puche; Felix L. Schwenninger

doi:10.1016/j.sysconle.2020.104678

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 journal › Article › Academic › peer-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 language	English
Article number	104678
Journal	Systems and control letters
Volume	139
DOIs	https://doi.org/10.1016/j.sysconle.2020.104678
Publication status	Published - May 2020

Keywords

Adaptive control
BIBO stability
Funnel control
Infinite-dimensional systems

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