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

Hastir, Anthony;Winkin, Joseph;Dochain, Denis
(2023) Automatica — Vol. 152, p. 110964 (2021)

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  • Hastir, AnthonyUNamur
    Author
  • Winkin, JosephUNamur
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  • Dochain, Denisorcid-logoUCLouvain
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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.
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Hastir, A., Winkin, J., & Dochain, D. (2023). Adaptive output error feedback for a class of nonlinear infinite-dimensional systems. Automatica, 152, 110964. https://hdl.handle.net/2078.5/217963 (Original work published 2021)