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arXiv · 1303.3533

Optimal Receding Horizon Control for Finite Deterministic Systems with Temporal Logic Constraints

Mária Svoreňová·Ivana Černá·Calin Belta
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Abstract

In this paper, we develop a provably correct optimal control strategy for a finite deterministic transition system. By assuming that penalties with known probabilities of occurrence and dynamics can be sensed locally at the states of the system, we derive a receding horizon strategy that minimizes the expected average cumulative penalty incurred between two consecutive satisfactions of a desired property. At the same time, we guarantee the satisfaction of correctness specifications expressed as Linear Temporal Logic formulas. We illustrate the approach with a persistent surveillance robotics application.

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Mária Svoreňová, Ivana Černá, Calin Belta. 2013-03-14. Optimal Receding Horizon Control for Finite Deterministic Systems with Temporal Logic Constraints. https://arxiv.org/abs/1303.3533

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