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This paper is about an encryption based approach to the secure implementation of feedback controllers for physical systems. Specifically, Paillier's homomorphic encryption is used to digitally implement a class of linear dynamic…

Cryptography and Security · Computer Science 2020-07-27 Julian Tran , Farhad Farokhi , Michael Cantoni , Iman Shames

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

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

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

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

This paper considers the design of encrypted control systems to secure data privacy when the control systems operate over a network. In particular, we propose to combine Paillier cryptosystem with a quantizer whose sensitivity changes with…

Systems and Control · Computer Science 2019-01-30 Masako Kishida

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

In this paper, we present a method to encrypt dynamic controllers that can be implemented through most homomorphic encryption schemes, including somewhat, leveled fully, and fully homomorphic encryption. To this end, we represent the output…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Joowon Lee , Donggil Lee , Junsoo Kim , Hyungbo Shim

Computationally demanding tasks are typically calculated in dedicated data centers, and real-time visualizations also follow this trend. Some rendering tasks, however, require the highest level of confidentiality so that no other party,…

Cryptography and Security · Computer Science 2020-10-16 Sebastian Mazza , Daniel Patel , Ivan Viola

Encrypted dynamic controllers that operate for an unlimited time have been a challenging subject of research. The fundamental difficulty is the accumulation of errors and scaling factors in the internal state during operation.…

Systems and Control · Electrical Eng. & Systems 2024-03-28 Sebastian Schlor , Frank Allgöwer

The growing interconnectivity in control systems due to robust wireless communication and cloud usage paves the way for exciting new opportunities such as data-driven control and service-based decision-making. At the same time, connected…

Systems and Control · Electrical Eng. & Systems 2024-04-09 Nils Schlüter , Junsoo Kim , Moritz Schulze Darup

The modified Paillier cryptosystem has become extremely popular and applied in many fields, owning to its additive homomorphism. This cryptosystem provides weak private keys and a strong private key. A weak private key only can decrypt…

Cryptography and Security · Computer Science 2019-12-20 Xiaojuan Dong , Weiming Zhang , Mohsin Shah , Bei Wang , Nenghai Yu

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

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

Distributed stochastic optimization enables multi-agent collaboration in applications such as distributed learning and sensor networks, but also raises critical privacy concerns due to the involvement of sensitive data. While existing…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Haoqiang Zhou , Chi Chen , Yongfeng Zhi , Huan Gao

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

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

In this paper, we propose a secure two-party computation protocol for dynamic controllers using a secret sharing scheme. The proposed protocol realizes outsourcing of controller computation to two servers, while controller parameters,…

Systems and Control · Electrical Eng. & Systems 2025-12-29 Kaoru Teranishi , Takashi Tanaka

Following a sequence of hardware designs for a fully homomorphic crypto-processor - a general purpose processor that natively runs encrypted machine code on encrypted data in registers and memory, resulting in encrypted machine states -…

Cryptography and Security · Computer Science 2018-09-06 Peter Breuer , Jonathan Bowen

Encrypted control is a promising method for the secure outsourcing of controller computation to a public cloud. However, a feasible method for security proofs of control has not yet been developed in the field of encrypted control systems.…

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