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Input-Output History Feedback Controller for Encrypted Control With Leveled Fully Homomorphic Encryption

Authors :
Kaoru Teranishi
Tomonori Sadamoto
Kiminao Kogiso
Source :
IEEE Transactions on Control of Network Systems. :1-12
Publication Year :
2023
Publisher :
Institute of Electrical and Electronics Engineers (IEEE), 2023.

Abstract

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 controller operations with encrypted data, an encrypted dynamic controller with the encryption scheme destabilizes a closed-loop system or degrades the control performance due to overflow. This paper presents a novel controller representation based on input-output history data to implement an encrypted dynamic controller that operates without destabilization and performance degradation. Implementation of this encrypted dynamic controller representation can be optimized via batching techniques to reduce the time and space complexities. Furthermore, this study analyzes the stability and performance degradation of a closed-loop system caused by the effects of controller encryption. A numerical simulation demonstrates the feasibility of the proposed encrypted control scheme, which inherits the control performance of the original controller at a sufficient level.<br />Comment: 12 pages, 7 figures

Details

ISSN :
23722533
Database :
OpenAIRE
Journal :
IEEE Transactions on Control of Network Systems
Accession number :
edsair.doi.dedup.....e59aab9df7b2a63e42a91e3cdefae907