# Adaptive output error feedback for a class of nonlinear infinite-dimensional systems

Source: [Adaptive output error feedback for a class of nonlinear infinite-dimensional systems](<https://www.sota2.com/research/paper/68fa592a1e209131ce9b47ff>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T15:44:25.559Z

Authors: Anthony Hastir, Joseph J. Winkin, Denis Dochain

Published: 2021-11-12T13:28:54.000Z

## Abstract

An adaptive funnel control method is considered for the regulation of the output for a class of nonlinear infinite-dimensional systems on real Hilbert spaces. After a decomposition of the state space and some change of variables related to the Byrnes-Isidori form, it is shown that the funnel controller presented in (Berger et al., 2020) achieves the control objective under some assumptions on the nonlinear system dynamics, like well-posedness and Bounded-Input-State Bounded-Output (BISBO) stability. The theory is applied to the regulation of the temperature in a chemical plug-flow tubular reactor whose reaction kinetics are modeled by the Arrhenius nonlinearity. Furthermore a damped sine-Gordon model is shown to fit the required assumptions as well. The theoretical results are illustrated by means of numerical simulations.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2111.06713>)

[PDF](<https://arxiv.org/pdf/2111.06713.pdf>)