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

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 outpu...

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Bibliographic Details
Published in:IEEE transactions on control systems technology 2023-07, Vol.31 (4), p.1-11
Main Authors: Reinders, Joey, Giaccagli, Mattia, Hunnekens, Bram, Astolfi, Daniele, Oomen, Tom, Wouw, Nathan van de
Format: Article
Language:English
Subjects:
Automatic Control Engineering
Circle criterion
Closed loops
Computer Science
Control systems
convergent systems
Disturbances
Feedback control
Harmonic analysis
harmonic regulation
Lur’e-type system
mechanical ventilation
medical applications
Nonlinear dynamical systems
nonlinear output regulation
Nonlinear systems
Oscillators
Regulation
Repetitive control
repetitive control (RC)
Stability analysis
Target tracking
Ventilation
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Summary: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.
ISSN:1063-6536
1558-0865
DOI:10.1109/TCST.2023.3250966