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arXiv · 2203.12044

Data-Driven Optimal Control of Affine Systems: A Linear Programming Perspective

Andrea Martinelli·Matilde Gargiani·Marina Draskovic·John Lygeros
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Abstract

In this letter, we discuss the problem of optimal control for affine systems in the context of data-driven linear programming. First, we introduce a unified framework for the fixed point characterization of the value function, Q-function and relaxed Bellman operators. Then, in a model-free setting, we show how to synthesize and estimate Bellman inequalities from a small but sufficiently rich dataset. To guarantee exploration richness, we complete the extension of Willem's fundamental lemma to affine systems.

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Andrea Martinelli, Matilde Gargiani, Marina Draskovic, John Lygeros. 2022-03-22. Data-Driven Optimal Control of Affine Systems: A Linear Programming Perspective. https://doi.org/10.1109/lcsys.2022.3180898

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