Early warning signals for loss of control

Fuente: arXiv
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Auteurs principaux: van Beers, Jasper J., Scheffer, Marten, Solanki, Prashant, van de Leemput, Ingrid A., van Nes, Egbert H., de Visser, Coen C.
Format: Preprint
Publié: 2025
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author van Beers, Jasper J.
Scheffer, Marten
Solanki, Prashant
van de Leemput, Ingrid A.
van Nes, Egbert H.
de Visser, Coen C.
author_facet van Beers, Jasper J.
Scheffer, Marten
Solanki, Prashant
van de Leemput, Ingrid A.
van Nes, Egbert H.
de Visser, Coen C.
contents Maintaining stability in feedback systems, from aircraft and autonomous robots to biological and physiological systems, relies on monitoring their behavior and continuously adjusting their inputs. Incremental damage can make such control fragile. This tends to go unnoticed until a small perturbation induces instability (i.e. loss of control). Traditional methods in the field of engineering rely on accurate system models to compute a safe set of operating instructions, which become invalid when the, possibly damaged, system diverges from its model. Here we demonstrate that the approach of such a feedback system towards instability can nonetheless be monitored through dynamical indicators of resilience. This holistic system safety monitor does not rely on a system model and is based on the generic phenomenon of critical slowing down, shown to occur in the climate, biology and other complex nonlinear systems approaching criticality. Our findings for engineered devices opens up a wide range of applications involving real-time early warning systems as well as an empirical guidance of resilient system design exploration, or "tinkering". While we demonstrate the validity using drones, the generic nature of the underlying principles suggest that these indicators could apply across a wider class of controlled systems including reactors, aircraft, and self-driving cars.
format Preprint
id arxiv_https___arxiv_org_abs_2512_20868
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Early warning signals for loss of control
van Beers, Jasper J.
Scheffer, Marten
Solanki, Prashant
van de Leemput, Ingrid A.
van Nes, Egbert H.
de Visser, Coen C.
Robotics
Systems and Control
Maintaining stability in feedback systems, from aircraft and autonomous robots to biological and physiological systems, relies on monitoring their behavior and continuously adjusting their inputs. Incremental damage can make such control fragile. This tends to go unnoticed until a small perturbation induces instability (i.e. loss of control). Traditional methods in the field of engineering rely on accurate system models to compute a safe set of operating instructions, which become invalid when the, possibly damaged, system diverges from its model. Here we demonstrate that the approach of such a feedback system towards instability can nonetheless be monitored through dynamical indicators of resilience. This holistic system safety monitor does not rely on a system model and is based on the generic phenomenon of critical slowing down, shown to occur in the climate, biology and other complex nonlinear systems approaching criticality. Our findings for engineered devices opens up a wide range of applications involving real-time early warning systems as well as an empirical guidance of resilient system design exploration, or "tinkering". While we demonstrate the validity using drones, the generic nature of the underlying principles suggest that these indicators could apply across a wider class of controlled systems including reactors, aircraft, and self-driving cars.
title Early warning signals for loss of control
topic Robotics
Systems and Control
url https://arxiv.org/abs/2512.20868