Neural Solvers for Fast and Accurate Numerical Optimal Control

2022/03/13 by Federico Berto, Berto, Federico, Stefano Massaroli +5 · 1 citation
Engineering · Physics and Astronomy · #Advanced Control Systems Optimization #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Optimization and Control (math.OC) #Reservoir Engineering and Simulation Methods

paper · pdf · doi:10.48550/arxiv.2203.08072

openalex publication_date 2022/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Synthesizing optimal controllers for dynamical systems often involves solving optimization problems with hard real-time constraints. These constraints determine the class of numerical methods that can be applied: computationally expensive but accurate numerical routines are replaced by fast and inaccurate methods, trading inference time for solution accuracy. This paper provides techniques to improve the quality of optimized control policies given a fixed computational budget. We achieve the above via a hypersolvers approach, which hybridizes a differential equation solver and a neural network. The performance is evaluated in direct and receding-horizon optimal control tasks in both low and high dimensions, where the proposed approach shows consistent Pareto improvements in solution accuracy and control performance.

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