Safety Guarantees in Zero-Shot Reinforcement Learning for Cascade Dynamical Systems

Fuente: arXiv
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Main Authors: Rabiei, Shima, Mishra, Sandipan, Paternain, Santiago
Format: Preprint
Published: 2026
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author Rabiei, Shima
Mishra, Sandipan
Paternain, Santiago
author_facet Rabiei, Shima
Mishra, Sandipan
Paternain, Santiago
contents This paper considers the problem of zero-shot safety guarantees for cascade dynamical systems. These are systems where a subset of the states (the inner states) affects the dynamics of the remaining states (the outer states) but not vice-versa. We define safety as remaining on a set deemed safe for all times with high probability. We propose to train a safe RL policy on a reduced-order model, which ignores the dynamics of the inner states, but it treats it as an action that influences the outer state. Thus, reducing the complexity of the training. When deployed in the full system the trained policy is combined with a low-level controller whose task is to track the reference provided by the RL policy. Our main theoretical contribution is a bound on the safe probability in the full-order system. In particular, we establish the interplay between the probability of remaining safe after the zero-shot deployment and the quality of the tracking of the inner states. We validate our theoretical findings on a quadrotor navigation task, demonstrating that the preservation of the safety guarantees is tied to the bandwidth and tracking capabilities of the low-level controller.
format Preprint
id arxiv_https___arxiv_org_abs_2604_10429
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Safety Guarantees in Zero-Shot Reinforcement Learning for Cascade Dynamical Systems
Rabiei, Shima
Mishra, Sandipan
Paternain, Santiago
Artificial Intelligence
This paper considers the problem of zero-shot safety guarantees for cascade dynamical systems. These are systems where a subset of the states (the inner states) affects the dynamics of the remaining states (the outer states) but not vice-versa. We define safety as remaining on a set deemed safe for all times with high probability. We propose to train a safe RL policy on a reduced-order model, which ignores the dynamics of the inner states, but it treats it as an action that influences the outer state. Thus, reducing the complexity of the training. When deployed in the full system the trained policy is combined with a low-level controller whose task is to track the reference provided by the RL policy. Our main theoretical contribution is a bound on the safe probability in the full-order system. In particular, we establish the interplay between the probability of remaining safe after the zero-shot deployment and the quality of the tracking of the inner states. We validate our theoretical findings on a quadrotor navigation task, demonstrating that the preservation of the safety guarantees is tied to the bandwidth and tracking capabilities of the low-level controller.
title Safety Guarantees in Zero-Shot Reinforcement Learning for Cascade Dynamical Systems
topic Artificial Intelligence
url https://arxiv.org/abs/2604.10429