Static Output Feedback Synthesis of Time-Delay Linear Systems via Deep Unfolding
Optimization and Control
2022-05-20 v1
Abstract
We propose a deep unfolding-based approach for stabilization of time-delay linear systems. Deep unfolding is an emerging framework for design and improvement of iterative algorithms and attracting significant attentions in signal processing. In this paper, we propose an algorithm to design a static output feedback gain for stabilizing time-delay linear systems via deep unfolding. Within the algorithm, the learning part is driven by NeuralODE developed in the community of machine learning, while the gain verification is performed with linear matrix inequalities developed in the systems and control theory. The effectiveness of the proposed algorithm is illustrated with numerical simulations.
Cite
@article{arxiv.2205.09499,
title = {Static Output Feedback Synthesis of Time-Delay Linear Systems via Deep Unfolding},
author = {Masaki Ogura and Koki Kobayashi and Kenji Sugimoto},
journal= {arXiv preprint arXiv:2205.09499},
year = {2022}
}