SERGIO CUEVAS DEL VALLE; PABLO SOLANO-LÓPEZ; HODEI URRUTXUA

DOI Number: 10.13009/EUCASS2023-056

This work proposes novel Neural Network (NN) training algorithms and architectures to solve with low­cost general Optimal Control problems: regression of the optimal control policy for a given state trajectory. This is achieved via two novelties: first, a novel cost-effective optimal control solver is used for low-cost data augmentation of optimal state-control trajectories, and then combined with Feedforward and General Regression Neural Networks to solve the so-called direct regression problem. Secondly, Pontryagin’s Maximum Principle is leveraged to modify physics-informed NN to embed the Hamiltonian structure of Optimal Control within the training algorithm for enhanced robustness and generalized performance.

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