Differentially Private LQ Control
Abstract
As multi-agent systems proliferate and share more user data, new approaches are needed to protect sensitive data while still enabling system operation. To address this need, this paper presents a private multi-agent LQ control framework. Agents' state trajectories can be sensitive and we therefore protect them using differential privacy. We quantify the impact of privacy along three dimensions: the amount of information shared under privacy, the control-theoretic cost of privacy, and the tradeoffs between privacy and performance. These analyses are done in conventional control-theoretic terms, which we use to develop guidelines for calibrating privacy as a function of system parameters. Numerical results indicate that system performance remains within desirable ranges, even under strict privacy requirements.
Keywords
Cite
@article{arxiv.1807.05082,
title = {Differentially Private LQ Control},
author = {Kasra Yazdani and Austin Jones and Kevin Leahy and Matthew Hale},
journal= {arXiv preprint arXiv:1807.05082},
year = {2022}
}
Comments
16 pages, 4 figures, 1 table; submitted to IEEE Transactions on Automatic Control. arXiv admin note: substantial text overlap with arXiv:1709.02862