Issue |
Security and Safety
Volume 2, 2023
Security and Safety in Unmanned Systems
|
|
---|---|---|
Article Number | 2023018 | |
Number of page(s) | 15 | |
Section | Information Network | |
DOI | https://doi.org/10.1051/sands/2023018 | |
Published online | 23 August 2023 |
Research Article
Secure motion control of micro-spacecraft using semi-homomorphic encryption
1
Department of Electrical Engineering, City University of Hong Kong, Hong Kong, 999077, China
2
School of Automation Science and Electrical Engineering, Beihang University, Beijing, 100191, China
* Corresponding authors (email: huql_buaa@buaa.edu.cn)
Received:
28
February
2023
Revised:
25
April
2023
Accepted:
28
June
2023
This paper studies the secure motion control problem for micro-spacecraft systems. A novel semi-homomorphic encrypted control framework, consisting of a logarithmic quantizer, two uniform quantizers, and an encrypted control law based on the Paillier cryptosystem is developed. More specifically, a logarithmic quantizer is adopted as a digitizer to convert the continuous relative motion information to digital signals. Two uniform quantizers with different quantization sensitivities are designed to encode the control gain matrix and digitized motion information to integer values. Then, we develop an encrypted state-feedback control law based on the Paillier cryptosystem, which allows the controller to compute the control input using only encrypted data. Using the Lyapunov stability theory and the homomorphic property of the Paillier cryptosystem, we prove that all signals in the closed-loop system are uniformly ultimately bounded. Different from the traditional motion control laws of spacecraft, the proposed encrypted control framework ensures the security of the exchanged data over the communication network of the spacecraft, even when communication channels are eavesdropped by malicious adversaries. Finally, we verify the effectiveness of the proposed encrypted control framework using numerical simulations.
Key words: Spacecraft relative motion / security protection / encrypted control / homomorphic encryption / quantization
Citation: Shi Y, Nekouei E and Hu Q. Secure motion control of micro-spacecraft using semi-homomorphic encryption. Security and Safety 2023; 2: 2023018. https://doi.org/10.1051/sands/2023018
© The Author(s) 2023. Published by EDP Sciences and China Science Publishing & Media Ltd.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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