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arXiv · 2303.11896

Quantifying the Safety of Trajectories using Peak-Minimizing Control

Jared Miller·Mario Sznaier
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Abstract

This work quantifies the safety of trajectories of a dynamical system by the perturbation intensity required to render a system unsafe (crash into the unsafe set). Computation of this measure of safety is posed as a peak-minimizing optimal control problem. Convergent lower bounds on the minimal peak value of controller effort are computed using polynomial optimization and the moment-Sum-of-Squares hierarchy. The crash-safety framework is extended towards data-driven safety analysis by measuring safety as the maximum amount of data corruption required to crash into the unsafe set.

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Jared Miller, Mario Sznaier. 2024-10-01. Quantifying the Safety of Trajectories using Peak-Minimizing Control. https://arxiv.org/abs/2303.11896

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