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Neural Model Extraction for Model-Based Control of a Neural Network Forward Model

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Abstract

Neural networks have been widely used to model nonlinear systems that are difficult to formulate. Thus far, because neural networks are a radically different approach to mathematical modeling, control theory has not been applied to them, even if they approximate the nonlinear state equation of a control object. In this research, we propose a new approach—i.e., neural model extraction, that enables model-based control for a feed-forward neural network trained for a nonlinear state equation. Specifically, we propose a method for extracting the linear state equations that are equivalent to the neural network corresponding to given input vectors. We conducted simple simulations of a two degrees-of-freedom planar manipulator to verify how the proposed method enables model-based control on neural network forward models. Through simulations, where different settings of the manipulator’s state observation are assumed, we successfully confirm the validity of the proposed method.

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Funding

This work was supported by JSPS KAKENHI Grant Number 18H01410, 19K22875, and 19H01122.

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Authors and Affiliations

  1. Kyushu Institute of Technology and Research Center for Neuromorphic AI Hardware, 2-4, Hibikino, Wakamatsu, Kitakyushu, Fukuoka, 808-0196, Japan

    Shuhei Ikemoto

  2. Osaka University, 1-3 Machikaneyama, Toyonaka, Osaka, 560-8531, Japan

    Kazuma Takahara, Taiki Kumi & Koh Hosoda

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  1. Shuhei Ikemoto
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Correspondence to Shuhei Ikemoto.

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Ikemoto, S., Takahara, K., Kumi, T. et al. Neural Model Extraction for Model-Based Control of a Neural Network Forward Model. SN COMPUT. SCI. 2, 54 (2021). https://doi.org/10.1007/s42979-021-00456-4

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