Study of Fixed-Points in the Self-Repair Process of a 3-D Printer

Renzo Caballero; Eric Feron

doi:10.1109/LCSYS.2022.3231402

Study of Fixed-Points in the Self-Repair Process of a 3-D Printer

Renzo Caballero^*, Eric Feron

^*Corresponding author for this work

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

Abstract

We present and prove a theorem guaranteeing global stability in a non-linear system representing the iterative self-repair process where a 3D printer repairs its timing pulley. The process consists of gradually improving the broken part in the 3D printer until the printer reaches its repaired state. To prove global stability, we verify that the limit of the self-repair sequence does not depend on the initial condition, and always converges to the repaired state. Even though the convergence of this process has been analyzed under strong assumptions, in the present work, the convergence is proven for a more general case.

Original language	English (US)
Pages (from-to)	1057-1062
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	7
DOIs	https://doi.org/10.1109/LCSYS.2022.3231402
State	Published - 2023

Bibliographical note

Publisher Copyright:
© 2017 IEEE.

Keywords

Automata
discrete event systems
fault accomodation
modeling
stability of nonlinear systems

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization

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10.1109/LCSYS.2022.3231402

Cite this

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abstract = "We present and prove a theorem guaranteeing global stability in a non-linear system representing the iterative self-repair process where a 3D printer repairs its timing pulley. The process consists of gradually improving the broken part in the 3D printer until the printer reaches its repaired state. To prove global stability, we verify that the limit of the self-repair sequence does not depend on the initial condition, and always converges to the repaired state. Even though the convergence of this process has been analyzed under strong assumptions, in the present work, the convergence is proven for a more general case.",

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AB - We present and prove a theorem guaranteeing global stability in a non-linear system representing the iterative self-repair process where a 3D printer repairs its timing pulley. The process consists of gradually improving the broken part in the 3D printer until the printer reaches its repaired state. To prove global stability, we verify that the limit of the self-repair sequence does not depend on the initial condition, and always converges to the repaired state. Even though the convergence of this process has been analyzed under strong assumptions, in the present work, the convergence is proven for a more general case.

KW - Automata

KW - discrete event systems

KW - fault accomodation

KW - modeling

KW - stability of nonlinear systems

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JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

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Study of Fixed-Points in the Self-Repair Process of a 3-D Printer

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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