Privacy Preservation by Intermittent Transmission in Cooperative LQG Control Systems

TL;DR

This paper considers a periodic transmission scheme, in which the user sends data to the server intermittently, and the server's received information of the user is reduced, and consequently the user's privacy is preserved.

Abstract

In this paper, we study a cooperative linear quadratic Gaussian (LQG) control system with a single user and a server. In this system, the user runs a process and employs the server to meet the needs of computation. However, the user regards its state trajectories as privacy. Therefore, we propose a privacy scheme, in which the user sends data to the server intermittently. By this scheme, the server's received information of the user is reduced, and consequently the user's privacy is preserved. In this paper, we consider a periodic transmission scheme. We analyze the performance of privacy preservation and LQG control of different transmission periods. Under the given threshold of the control performance loss, a trade-off optimization problem is proposed. Finally, we give the solution to the optimization problem.

Figures (6)

• Figure 1: The ordinary cooperative LQG control system.
• Figure 2: The privacy scheme is used.
• Figure 3: $\mathcal{Q}_{privacy}$ with $T$ varying from 1 to 10.
• Figure 4: $\mathcal{Q}_{LQG}$ with $T$ varying from 1 to 10.
• Figure 5: Optimal $T$ with $\alpha$ varying from 7 to 27.