Differential Privacy in Nonlinear Dynamical Systems with Tracking Performance Guarantees
Abstract
We introduce a novel approach to make the tracking error of a class of nonlinear systems differentially private in addition to guaranteeing the tracking error performance. We use funnel control to make the tracking error evolve within a performance funnel that is pre-specified by the user. We make the performance funnel differentially private by adding a bounded continuous noise generated from an Ornstein-Uhlenbeck-type process. Since the funnel controller is a function of the performance funnel, the noise adds randomized perturbation to the control input. We show that, as a consequence of the differential privacy of the performance funnel, the tracking error is also differentially private. As a result, the tracking error is bounded by the noisy funnel boundary while maintaining privacy. We show a simulation result to demonstrate the framework.
Cite
@article{arxiv.2403.08181,
title = {Differential Privacy in Nonlinear Dynamical Systems with Tracking Performance Guarantees},
author = {Dhrubajit Chowdhury and Raman Goyal and Shantanu Rane},
journal= {arXiv preprint arXiv:2403.08181},
year = {2024}
}