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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

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

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 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

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

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

Recently, it has been observed that finite impulse response controllers are an excellent basis for encrypted control, where privacy-preserving controller evaluations via special cryptosystems are the main focus. Beneficial properties of FIR…

Systems and Control · Electrical Eng. & Systems 2024-08-23 Janis Adamek , Nils Schlüter , Moritz Schulze Darup

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

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 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

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

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

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

We provide an efficient and private solution to the problem of encryption-aware data-driven control. We investigate a Control as a Service scenario, where a client employs a specialized outsourced control solution from a service provider.…

Cryptography and Security · Computer Science 2021-06-22 Andreea B. Alexandru , Anastasios Tsiamis , George J. Pappas

The security of networked control systems (NCS) is receiving increasing attention from both cyber-security and system-theoretic perspectives. The former focuses on classical IT security goals such as confidentiality, integrity, and…

Cryptography and Security · Computer Science 2026-05-18 Philipp Binfet , Janis Adamek , Moritz Schulze Darup

In data-driven predictive cloud control tasks, the privacy of data stored and used in cloud services could be leaked to malicious attackers or curious eavesdroppers. Homomorphic encryption technique could be used to protect data privacy…

Systems and Control · Electrical Eng. & Systems 2023-02-07 Qiwen Li , Runze Gao , Yuanqing Xia

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

Cloud-based and distributed computations are of growing interest in modern control systems. However, these technologies require performing computations on not necessarily trustworthy platforms and, thus, put the confidentiality of sensitive…

Cryptography and Security · Computer Science 2023-04-14 Nils Schlüter , Philipp Binfet , Moritz Schulze Darup
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