@inproceedings{441c462963ee4b2481924b782be09f73,
title = "Adaptive output tracking for nonlinear infinite-dimensional systems",
abstract = "An adaptive model-free funnel controller is presented for the output tracking of a general class of input-output (nonlinear) systems, which may encompass systems with possibly infinite-dimensional internal dynamics. After describing the system class and the related assumptions, the main result states that funnel control is well-adapted for a general class of semilinear infinite-dimensional systems with globally Lipschitz nonlinearity, by using a decomposition of the state space based on the existing Byrnes-Isidori form. Standard assumptions are stated, and in particular the Bounded Input State Bounded Output (BISBO) stability of the nonlinear infinite-dimensional system. A way of getting this assumption is presented too. The theoretical results are applied on a damped sine-Gordon equation and illustrated by means of numerical simulations.",
keywords = "Byrnes, Funnel Control, Gordon equation, Isidori form, Nonlinear infinite, dimensional systems, sine",
author = "Anthony HASTIR and Joseph WINKIN and Denis Dochain",
note = "Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.. All rights reserved.; 4th IFAC Workshop on Control of Systems Governed by Partial Differential Equations CPDE 2022: Kiel, Germany, September 5-7, 2022 ; Conference date: 05-09-2022 Through 07-09-2022",
year = "2022",
month = sep,
doi = "10.1016/j.ifacol.2022.10.374",
language = "English",
volume = "55",
series = "IFAC-PapersOnLine",
publisher = "IFAC-PapersOnLine",
pages = "39 -- 46",
booktitle = "4th IFAC Workshop of Systems Governed by Partial Differential Equations CPDE 2022",
edition = "26",
}