Differential Privacy in Nonlinear Dynamical Systems with Tracking Performance Guarantees
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912035381444608 |
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| author | Chowdhury, Dhrubajit Goyal, Raman Rane, Shantanu |
| author_facet | Chowdhury, Dhrubajit Goyal, Raman Rane, Shantanu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_08181 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Differential Privacy in Nonlinear Dynamical Systems with Tracking Performance Guarantees Chowdhury, Dhrubajit Goyal, Raman Rane, Shantanu Systems and Control 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. |
| title | Differential Privacy in Nonlinear Dynamical Systems with Tracking Performance Guarantees |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2403.08181 |