Malleability-Resistant Encrypted Control System with Disturbance Compensation and Real-Time Attack Detection

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Hauptverfasser: Aizawa, Naoki, Emura, Keita, Kogiso, Kiminao
Format: Preprint
Veröffentlicht: 2025
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author Aizawa, Naoki
Emura, Keita
Kogiso, Kiminao
author_facet Aizawa, Naoki
Emura, Keita
Kogiso, Kiminao
contents This study proposes an encrypted PID control system with a disturbance observer (DOB) using a keyed-homomorphic encryption (KHE) scheme, aiming to achieve control performance while providing resistance to malleability-based attacks. The controller integrates a DOB with a PID structure to compensate for modeling uncertainties by estimating and canceling external disturbances. To enhance security, the system is designed to output error symbols when ciphertexts are falsified during decryption or evaluation, enabling real-time detection of malleability-based signal or parameter falsification. To validate the proposed method, we conduct stage positioning control experiments and attack detection tests using an industrial linear stage. The results show that the encrypted DOB-based PID controller outperforms a conventional encrypted PID controller in terms of tracking accuracy. Furthermore, the system successfully detects two types of malleability-based attacks: one that destabilizes the control system, and another that degrades its performance. The primary contributions of this study are: (i) the implementation of a KHE-based encrypted DOB-PID controller, (ii) the improvement of control performance under uncertainties, and (iii) the experimental demonstration of attack detection capabilities in encrypted control systems.
format Preprint
id arxiv_https___arxiv_org_abs_2507_22693
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Malleability-Resistant Encrypted Control System with Disturbance Compensation and Real-Time Attack Detection
Aizawa, Naoki
Emura, Keita
Kogiso, Kiminao
Systems and Control
This study proposes an encrypted PID control system with a disturbance observer (DOB) using a keyed-homomorphic encryption (KHE) scheme, aiming to achieve control performance while providing resistance to malleability-based attacks. The controller integrates a DOB with a PID structure to compensate for modeling uncertainties by estimating and canceling external disturbances. To enhance security, the system is designed to output error symbols when ciphertexts are falsified during decryption or evaluation, enabling real-time detection of malleability-based signal or parameter falsification. To validate the proposed method, we conduct stage positioning control experiments and attack detection tests using an industrial linear stage. The results show that the encrypted DOB-based PID controller outperforms a conventional encrypted PID controller in terms of tracking accuracy. Furthermore, the system successfully detects two types of malleability-based attacks: one that destabilizes the control system, and another that degrades its performance. The primary contributions of this study are: (i) the implementation of a KHE-based encrypted DOB-PID controller, (ii) the improvement of control performance under uncertainties, and (iii) the experimental demonstration of attack detection capabilities in encrypted control systems.
title Malleability-Resistant Encrypted Control System with Disturbance Compensation and Real-Time Attack Detection
topic Systems and Control
url https://arxiv.org/abs/2507.22693