Repetitive Control for Lur'e-Type Systems: Application to Mechanical Ventilation

Joey Reinders; Mattia Giaccagli; Bram Hunnekens; Daniele Astolfi; Tom Oomen; Nathan Van De Wouw

doi:10.1109/TCST.2023.3250966

Repetitive Control for Lur'e-Type Systems: Application to Mechanical Ventilation

Joey Reinders^*, Mattia Giaccagli, Bram Hunnekens, Daniele Astolfi, Tom Oomen, Nathan Van De Wouw

^*Corresponding author for this work

Team Jan-Willem van Wingerden

Research output: Contribution to journal › Article › Scientific › peer-review

7 Citations (Scopus)

41 Downloads (Pure)

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.

Original language	English
Pages (from-to)	1819-1829
Journal	IEEE Transactions on Control Systems Technology
Volume	31
Issue number	4
DOIs	https://doi.org/10.1109/TCST.2023.3250966
Publication status	Published - 2023

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

Circle criterion
convergent systems
harmonic regulation
Lur'e-type system
mechanical ventilation
medical applications
nonlinear output regulation
repetitive control (RC)

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Repetitive_Control_for_Lure-Type_Systems_Application_to_Mechanical_VentilationFinal published version, 1.54 MB

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title = "Repetitive Control for Lur'e-Type Systems: Application to Mechanical Ventilation",

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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author = "Joey Reinders and Mattia Giaccagli and Bram Hunnekens and Daniele Astolfi and Tom Oomen and {Van De Wouw}, Nathan",

note = "Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.",

year = "2023",

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AU - Giaccagli, Mattia

AU - Hunnekens, Bram

AU - Astolfi, Daniele

AU - Oomen, Tom

AU - Van De Wouw, Nathan

N1 - Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - Circle criterion

KW - convergent systems

KW - harmonic regulation

KW - Lur'e-type system

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KW - nonlinear output regulation

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JO - IEEE Transactions on Control Systems Technology

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ER -

Repetitive Control for Lur'e-Type Systems: Application to Mechanical Ventilation

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