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arXiv · 2011.11029

Abstraction-based branch and bound approach to Q-learning for hybrid optimal control

Benoît Legat·Raphaël M. Jungers·Jean Bouchat
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Abstract

In this paper, we design a theoretical framework allowing to apply model predictive control on hybrid systems. For this, we develop a theory of approximate dynamic programming by leveraging the concept of alternating simulation. We show how to combine these notions in a branch and bound algorithm that can further refine the Q-functions using Lagrangian duality. We illustrate the approach on a numerical example.

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Benoît Legat, Raphaël M. Jungers, Jean Bouchat. 2020-11-22. Abstraction-based branch and bound approach to Q-learning for hybrid optimal control. https://arxiv.org/abs/2011.11029

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