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Encrypted dynamic control with unlimited operating time via FIR filters

2021/12/06 by Nils Schlüter, Schlüter, N., M. Neuhaus +3 · 2 citations
Computer Science · #Cryptographic Implementations and Security #Cryptography and Data Security #FOS: Electrical engineering #Security and Verification in Computing #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2112.02931

openalex publication_date 2021/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Encrypted control enables confidential controller evaluations in cloud-based or networked control systems. From a technical point of view, an encrypted controller is a modified control algorithm that is capable of computing encrypted control actions based on encrypted system outputs. Unsurprisingly, encrypted implementations of controllers using, e.g., homomorphic cryptosystems entail new design challenges. For instance, in order to avoid overflow or high computational loads, only a finite number of operations should be carried out on encrypted data. Clearly, this guideline is hard to satisfy for dynamic controllers due to their recursive nature. To enable an unlimited operating time, existing implementations thus rely on external refreshments of the controller state, internal refreshments using bootstrapping, or recurring controller resets. We show in this paper that simple FIR filter-based controllers allow overcoming many drawbacks of the existing approaches. In fact, since FIR filters consider only a finite amount of the most recent input data, the recursion issue is immediately solved and controller refreshments or resets are no longer required. Moreover, well-designed FIR filters are often less complex than and equally effective as IIR controllers.

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