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arXiv · 2407.19911

Efficient Shield Synthesis via State-Space Transformation

Asger Horn Brorholt·Andreas Holck Høeg-Petersen·Kim Guldstrand Larsen·Christian Schilling
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Abstract

We consider the problem of synthesizing safety strategies for control systems, also known as shields. Since the state space is infinite, shields are typically computed over a finite-state abstraction, with the most common abstraction being a rectangular grid. However, for many systems, such a grid does not align well with the safety property or the system dynamics. That is why a coarse grid is rarely sufficient, but a fine grid is typically computationally infeasible to obtain. In this paper, we show that appropriate state-space transformations can still allow to use a coarse grid at almost no computational overhead. We demonstrate in three case studies that our transformation-based synthesis outperforms a standard synthesis by several orders of magnitude. In the first two case studies, we use domain knowledge to select a suitable transformation. In the third case study, we instead report on results in engineering a transformation without domain knowledge.

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Asger Horn Brorholt, Andreas Holck Høeg-Petersen, Kim Guldstrand Larsen, Christian Schilling. 2024-07-29. Efficient Shield Synthesis via State-Space Transformation. https://doi.org/10.1007/978-3-031-75434-0_14

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