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arXiv · 1804.02666

Lazy Abstraction-Based Control for Safety Specifications

Kyle Hsu·Rupak Majumdar·Kaushik Mallik·Anne-Kathrin Schmuck
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Abstract

We present a lazy version of multi-layered abstraction-based controller synthesis (ABCS) for continuous-time nonlinear dynamical systems against safety specifications. State-of-the-art multi-layered ABCS uses pre-computed finite-state abstractions of different coarseness. Our new algorithm improves this technique by computing transitions on-the-fly, and only when a particular region of the state space needs to be explored by the controller synthesis algorithm for a specific coarseness. Additionally, our algorithm improves upon existing techniques by using coarser cells on a larger subset of the state space, which leads to significant computational savings.

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Kyle Hsu, Rupak Majumdar, Kaushik Mallik, Anne-Kathrin Schmuck. 2018-04-08. Lazy Abstraction-Based Control for Safety Specifications. https://arxiv.org/abs/1804.02666

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