Optimal Control of Material Micro-Structures
Aayushman Sharma, Zirui Mao, Haiying Yang, Suman Chakravorty, Michael, J Demkowicz, Dileep Kalathil

TL;DR
This paper presents a data-driven optimal control approach for material micro-structures modeled by phase field models, comparing it with reinforcement learning, and demonstrating its effectiveness through simulations.
Contribution
It introduces a novel data-based control method for phase field models and compares its performance with reinforcement learning techniques.
Findings
The proposed control method effectively attains desired micro-structures.
Simulation results validate the feasibility of controlling material properties.
Comparison shows advantages over existing RL approaches.
Abstract
In this paper, we consider the optimal control of material micro-structures. Such material micro-structures are modeled by the so-called phase field model. We study the underlying physical structure of the model and propose a data based approach for its optimal control, along with a comparison to the control using a state of the art Reinforcement Learning (RL) algorithm. Simulation results show the feasibility of optimally controlling such micro-structures to attain desired material properties and complex target micro-structures.
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Taxonomy
TopicsSolidification and crystal growth phenomena · Nonlinear Dynamics and Pattern Formation
