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In this paper, we propose an encrypted dynamic controller that executes an unlimited number of recursive homomorphic multiplications on a Ring Learning With Errors (Ring-LWE) based cryptosystem without bootstrapping. The proposed controller…

Systems and Control · Electrical Eng. & Systems 2025-12-30 Yeongjun Jang , Joowon Lee , Seonhong Min , Hyesun Kwak , Junsoo Kim , Yongsoo Song

Encrypted control has been introduced to protect controller data by encryption at the stage of computation and communication, by performing the computation directly on encrypted data. In this article, we first review and categorize recent…

Cryptography and Security · Computer Science 2022-10-12 Junsoo Kim , Dongwoo Kim , Yongsoo Song , Hyungbo Shim , Henrik Sandberg , Karl H. Johansson

This paper aims to provide an efficient implementation of encrypted linear dynamic controllers that perform recursive multiplications on a Ring-Learning With Errors (Ring-LWE) based cryptosystem. By adopting a system-theoretical approach,…

Systems and Control · Electrical Eng. & Systems 2026-01-01 Donghyeon Song , Yeongjun Jang , Joowon Lee , Junsoo Kim

Homomorphic encryption (HE) applied to a networked controller enables secure operation, but in most cases it allows for addition and multiplication over integers only, because of computation efficiency. Several related results deal with…

Systems and Control · Electrical Eng. & Systems 2023-08-01 Junsoo Kim

This study proposes an encrypted visual feedback control algorithm for regulating a one-dimensional stage using Ring Learning With Errors (RLWE) encryption. The proposed algorithm performs both feature extraction and controller computations…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Taichi Ikezaki , Kaoru Teranishi

Encrypted controllers offer secure computation by employing modern cryptosystems to execute control operations directly over encrypted data without decryption. However, incorporating cryptosystems into dynamic controllers significantly…

Systems and Control · Electrical Eng. & Systems 2025-12-29 Yeongjun Jang , Joowon Lee , Junsoo Kim

Although encrypted control systems ensure confidentiality of private data, it is challenging to detect anomalies without the secret key as all signals remain encrypted. To address this issue, we propose a homomorphic encryption scheme for…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Yeongjun Jang , Joowon Lee , Junsoo Kim , Takashi Tanaka , Hyungbo Shim

The cryptosystem based on the Learning-with-Errors (LWE) problem is considered as a post-quantum cryptosystem, because it is not based on the factoring problem with large primes which is easily solved by a quantum computer. Moreover, the…

Systems and Control · Computer Science 2021-01-11 Junsoo Kim , Hyungbo Shim , Kyoohyung Han

Protecting the parameters, states, and input/output signals of a dynamic controller is essential for securely outsourcing its computation to an untrusted third party. Although a fully homomorphic encryption scheme allows the evaluation of…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Kaoru Teranishi , Tomonori Sadamoto , Kiminao Kogiso

This study proposes post-quantum encrypted control systems based on dynamic-key Learning with Errors (LWE) encryption schemes. The proposed method develops update maps that simultaneously update the private key and ciphertexts within the…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Jungjin Park , Kiminao Kogiso

Recent studies on encrypted control using homomorphic encryption allow secure operation by directly performing computations on encrypted data without decryption. Implementing dynamic controllers on encrypted data presents unique challenges…

Systems and Control · Electrical Eng. & Systems 2021-10-14 Junsoo Kim , Farhad Farokhi , Iman Shames , Hyungbo Shim

In this paper, we present a dynamic feedback controller that computes the next state and the control signal over encrypted data using homomorphic properties of cryptosystems, whose performance is equivalent to the linear dynamic controllers…

Systems and Control · Electrical Eng. & Systems 2021-12-02 Junsoo Kim , Hyungbo Shim , Kyoohyung Han

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…

Systems and Control · Electrical Eng. & Systems 2021-12-07 N. Schlüter , M. Neuhaus , M. Schulze Darup

Encrypted controllers using homomorphic encryption have proven to guarantee the privacy of measurement and control signals, as well as system and controller parameters, while regulating the system as intended. However, encrypting dynamic…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Sebastian Schlor , Frank Allgöwer

This paper considers the use of fully homomorphic encryption for the realisation of distributed formation control of multi-agent systems via edge computer. In our proposed framework, the distributed control computation in the edge computer…

Systems and Control · Electrical Eng. & Systems 2021-10-08 Mariano Perez Chaher , Bayu Jayawardhana , Junsoo Kim

This paper presents a secure and private implementation of linear time-invariant dynamic controllers using Paillier's encryption, a semi-homomorphic encryption method. To avoid overflow or underflow within the encryption domain, the state…

Optimization and Control · Mathematics 2019-06-24 Carlos Murguia , Farhad Farokhi , Iman Shames

In this paper, we propose methods to encrypted a pre-given dynamic controller with homomorphic encryption, without re-encrypting the control inputs. We first present a preliminary result showing that the coefficients in a pre-given dynamic…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Shuai Feng , Qian Ma , Junsoo Kim , Shengyuan Xu

This paper considers a tracking control problem, in which the dynamic controller is encrypted with an additively homomorphic encryption scheme and the output of a process tracks a dynamic reference asymptotically. Our paper is motivated by…

Systems and Control · Electrical Eng. & Systems 2024-09-30 Shuai Feng , Junsoo Kim

This paper is concerned with the stability analysis of encrypted observer-based control for linear continuous-time systems. Since conventional encryption has limited ability to deploy in continuous-time integral computation, our work…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Hung Nguyen , Binh Nguyen , Hyung-Gohn Lee , Hyo-Sung Ahn

Fully Homomorphic Encryption (FHE) has made it possible to perform addition and multiplication operations on encrypted data. Using FHE in control thus has the advantage that control effort for a plant can be calculated remotely without ever…

Systems and Control · Electrical Eng. & Systems 2022-09-29 Pieter Stobbe , Twan Keijzer , Riccardo M. G. Ferrari
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