Repetitive Control for Lur'e-Type Systems

Application to Mechanical Ventilation

Journal article (2023)

Authors

Joey Reinders Eindhoven University of Technology, Demcon Advanced Mechatronics
Mattia Giaccagli Université Claude Bernard Lyon 1
B. G B Hunnekens Demcon Advanced Mechatronics
Daniele Astolfi Université Claude Bernard Lyon 1
Tom Oomen Eindhoven University of Technology, Team Jan-Willem van Wingerden - Mechanical, Maritime and Materials Engineering
Nathan Van De Wouw University of Minnesota Twin Cities, Eindhoven University of Technology
Research Group
Team Jan-Willem van Wingerden (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2023 Joey Reinders, Mattia Giaccagli, Bram Hunnekens, Daniele Astolfi, T.A.E. Oomen, Nathan Van De Wouw
DOI: https://doi.org/10.1109/TCST.2023.3250966
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Published Date

2023

Language

English

Reuse Rights

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Jan-Willem van Wingerden

Abstract

Repetitive control (RC) has shown to achieve superior rejection of periodic disturbances. Many nonlinear systems are subject to repeating disturbances. The aim of this article is to develop a continuous-time RC design with stability guarantees for nonlinear Lur'e-type systems. Approximate output tracking is achieved by combining an internal model, consisting of a finite number of linear oscillators with frequencies at the reference frequency and at its multiples, with a stabilizer that guarantees a convergence property of the closed-loop system. The developed RC approach is applied to a nonlinear mechanical ventilation system for intensive care units (ICUs), which can be modeled as a Lur'e-type system. The experimental study confirms that the RC scheme is able to successfully follow the desired target pressure profile to properly support the ventilation needs of an adult patient.

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