Co-Design of Cryptographic Parameters and Delay-Aware Feedback Gain for Encrypted Control Systems
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908969979609088 |
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| author | Jang, Yeongjun |
| author_facet | Jang, Yeongjun |
| contents | Encrypted control employs homomorphic encryption (HE) to protect both the computation and communication stages, making it a promising approach for secure networked control systems. Most existing results pre-design a controller in the plaintext domain and then implement it over encrypted data. However, this can be problematic because HE induces non-negligible communication and computation delays, which typically increase with the security level, potentially degrading control performance and even destabilizing the closed-loop system. To address this issue, we propose a co-design framework for cryptographic parameters and delay-aware feedback gain. We characterize the encryption-induced delay as a function of the cryptographic parameters and derive a sufficient condition for the existence of a stabilizing delay-aware feedback gain, expressed as a finite set of linear matrix inequalities. This leads to a tractable outer-inner design procedure that searches over cryptographic parameters that satisfy a desired security level and, for each such parameter, seeks a stabilizing feedback gain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14774 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Co-Design of Cryptographic Parameters and Delay-Aware Feedback Gain for Encrypted Control Systems Jang, Yeongjun Systems and Control Encrypted control employs homomorphic encryption (HE) to protect both the computation and communication stages, making it a promising approach for secure networked control systems. Most existing results pre-design a controller in the plaintext domain and then implement it over encrypted data. However, this can be problematic because HE induces non-negligible communication and computation delays, which typically increase with the security level, potentially degrading control performance and even destabilizing the closed-loop system. To address this issue, we propose a co-design framework for cryptographic parameters and delay-aware feedback gain. We characterize the encryption-induced delay as a function of the cryptographic parameters and derive a sufficient condition for the existence of a stabilizing delay-aware feedback gain, expressed as a finite set of linear matrix inequalities. This leads to a tractable outer-inner design procedure that searches over cryptographic parameters that satisfy a desired security level and, for each such parameter, seeks a stabilizing feedback gain. |
| title | Co-Design of Cryptographic Parameters and Delay-Aware Feedback Gain for Encrypted Control Systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2604.14774 |