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arXiv · 1303.1942

Optimal Control of MDPs with Temporal Logic Constraints

Maria Svorenova·Ivana Cerna·Calin Belta
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Abstract

In this paper, we focus on formal synthesis of control policies for finite Markov decision processes with non-negative real-valued costs. We develop an algorithm to automatically generate a policy that guarantees the satisfaction of a correctness specification expressed as a formula of Linear Temporal Logic, while at the same time minimizing the expected average cost between two consecutive satisfactions of a desired property. The existing solutions to this problem are sub-optimal. By leveraging ideas from automata-based model checking and game theory, we provide an optimal solution. We demonstrate the approach on an illustrative example.

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Maria Svorenova, Ivana Cerna, Calin Belta. 2013-09-09. Optimal Control of MDPs with Temporal Logic Constraints. https://arxiv.org/abs/1303.1942

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