A Fully Homomorphic Encryption Scheme for Real-Time Safe Control

P.J. Stobbe; T. Keijzer; Riccardo M.G. Ferrari

doi:10.1109/CDC51059.2022.9993055

A Fully Homomorphic Encryption Scheme for Real-Time Safe Control

P.J. Stobbe, T. Keijzer, Riccardo M.G. Ferrari

Team Riccardo Ferrari

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

3 Citations (Scopus)

54 Downloads (Pure)

Abstract

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 decrypting the exchanged information. FHE in its current form is however not practically applicable for real-time control as its computational load is very high compared to traditional encryption methods. In this paper a reformulation of the Gentry FHE scheme is proposed and applied on an FPGA to solve this problem. It is shown that the resulting FHE scheme can be implemented for real-time stabilization of an inverted double pendulum using discrete time control.

Original language	English
Title of host publication	Proceedings of the IEEE 61st Conference on Decision and Control (CDC 2022)
Publisher	IEEE
Pages	2911-2916
ISBN (Print)	978-1-6654-6761-2
DOIs	https://doi.org/10.1109/CDC51059.2022.9993055
Publication status	Published - 2022
Event	IEEE 61st Conference on Decision and Control (CDC 2022) - Cancún, Mexico Duration: 6 Dec 2022 → 9 Dec 2022

Conference

Conference	IEEE 61st Conference on Decision and Control (CDC 2022)
Country/Territory	Mexico
City	Cancún
Period	6/12/22 → 9/12/22

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

Ciphers
Dams
Control systems
Real-time systems
Large-scale systems
Homomorphic encryption
Computational complexity

Access to Document

10.1109/CDC51059.2022.9993055

A_Fully_Homomorphic_Encryption_Scheme_for_Real-Time_Safe_ControlFinal published version, 1.17 MB

Cite this

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title = "A Fully Homomorphic Encryption Scheme for Real-Time Safe Control",

abstract = "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 decrypting the exchanged information. FHE in its current form is however not practically applicable for real-time control as its computational load is very high compared to traditional encryption methods. In this paper a reformulation of the Gentry FHE scheme is proposed and applied on an FPGA to solve this problem. It is shown that the resulting FHE scheme can be implemented for real-time stabilization of an inverted double pendulum using discrete time control.",

keywords = "Ciphers, Dams, Control systems, Real-time systems, Large-scale systems, Homomorphic encryption, Computational complexity",

author = "P.J. Stobbe and T. Keijzer and Ferrari, {Riccardo M.G.}",

note = "Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.; IEEE 61st Conference on Decision and Control (CDC 2022) ; Conference date: 06-12-2022 Through 09-12-2022",

year = "2022",

doi = "10.1109/CDC51059.2022.9993055",

language = "English",

isbn = "978-1-6654-6761-2",

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booktitle = "Proceedings of the IEEE 61st Conference on Decision and Control (CDC 2022)",

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address = "United States",

}

TY - GEN

T1 - A Fully Homomorphic Encryption Scheme for Real-Time Safe Control

AU - Stobbe, P.J.

AU - Keijzer, T.

AU - Ferrari, Riccardo M.G.

N1 - Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

PY - 2022

Y1 - 2022

N2 - 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 decrypting the exchanged information. FHE in its current form is however not practically applicable for real-time control as its computational load is very high compared to traditional encryption methods. In this paper a reformulation of the Gentry FHE scheme is proposed and applied on an FPGA to solve this problem. It is shown that the resulting FHE scheme can be implemented for real-time stabilization of an inverted double pendulum using discrete time control.

AB - 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 decrypting the exchanged information. FHE in its current form is however not practically applicable for real-time control as its computational load is very high compared to traditional encryption methods. In this paper a reformulation of the Gentry FHE scheme is proposed and applied on an FPGA to solve this problem. It is shown that the resulting FHE scheme can be implemented for real-time stabilization of an inverted double pendulum using discrete time control.

KW - Ciphers

KW - Dams

KW - Control systems

KW - Real-time systems

KW - Large-scale systems

KW - Homomorphic encryption

KW - Computational complexity

UR - http://www.scopus.com/inward/record.url?scp=85147027579&partnerID=8YFLogxK

U2 - 10.1109/CDC51059.2022.9993055

DO - 10.1109/CDC51059.2022.9993055

M3 - Conference contribution

SN - 978-1-6654-6761-2

SP - 2911

EP - 2916

BT - Proceedings of the IEEE 61st Conference on Decision and Control (CDC 2022)

PB - IEEE

T2 - IEEE 61st Conference on Decision and Control (CDC 2022)

Y2 - 6 December 2022 through 9 December 2022

ER -

A Fully Homomorphic Encryption Scheme for Real-Time Safe Control

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Bibliographical note

Keywords

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