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Data-driven control on encrypted data

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Document pages: 30 pages

Abstract: We provide an efficient and private solution to the problem ofencryption-aware data-driven control. We investigate a Control as a Servicescenario, where a client employs a specialized outsourced control solution froma service provider. The privacy-sensitive model parameters of the client ssystem are either not available or variable. Hence, we require the serviceprovider to perform data-driven control in a privacy-preserving manner on theinput-output data samples from the client. To this end, we co-design thecontrol scheme with respect to both control performance and privacyspecifications. First, we formulate our control algorithm based on recentresults from the behavioral framework, and we prove closeness between theclassical formulation and our formulation that accounts for noise and precisionerrors arising from encryption. Second, we use a state-of-the-art leveledhomomorphic encryption scheme to enable the service provider to perform highcomplexity computations on the client s encrypted data, ensuring privacy.Finally, we streamline our solution by exploiting the rich structure of data,and meticulously employing ciphertext batching and rearranging operations toenable parallelization. This solution achieves more than twofold runtime andmemory improvements compared to our prior work.

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