Formal Multi-Objective Synthesis of Continuous-State MDPs

Sofie Haesaert; Petter Nilsson; Sadegh Soudjani

doi:10.1109/LCSYS.2020.3044263

Formal Multi-Objective Synthesis of Continuous-State MDPs

Sofie Haesaert (Corresponding author), Petter Nilsson, Sadegh Soudjani

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

This letter studies formal synthesis of control policies for continuous-state MDPs. In the quest to satisfy complex combinations of probabilistic temporal logic specifications, we derive a robust linear program for policy synthesis that is solved on a finite-state approximation of the system and is then refined back to a policy for the original system. This linear programming approach leverages occupation measures and enables the multi-objective optimizations needed to handle more complex probabilistic specifications.

Original language	English
Article number	9291398
Pages (from-to)	1765-1770
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	5
Issue number	5
DOIs	https://doi.org/10.1109/LCSYS.2020.3044263
Publication status	Published - Nov 2021

Keywords

Approximate simulation relations
formal synthesis
robust linear programming
stochastic systems
temporal logic

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10.1109/LCSYS.2020.3044263

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Formal Multi-Objective Synthesis of Continuous-State MDPs

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