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arXiv · 2403.08181

Differential Privacy in Nonlinear Dynamical Systems with Tracking Performance Guarantees

Dhrubajit Chowdhury·Raman Goyal·Shantanu Rane
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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.

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Dhrubajit Chowdhury, Raman Goyal, Shantanu Rane. 2024-03-13. Differential Privacy in Nonlinear Dynamical Systems with Tracking Performance Guarantees. https://arxiv.org/abs/2403.08181

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