Secure Control Using Homomorphic Encryption and Efficiency Analysis

In order to enhance the cyber-security of networked control systems, Kogiso and Fujita (2015) proposed a concept of controller encryption using homomorphic encryption for the first time. Encrypted linear controllers using a homomorphic encryption scheme could conceal the information processed inside the controller device and maintain the original functions of controllers. In this paper, we propose a scheme to encrypt the linear controller using the BGN encryption, which supports homomorphic addition and multiplication. We also compare the efficiency of this scheme with the scheme with an encrypted controller using RSA encryption and Paillier encryption.