Optimal Controller and Security Parameter for Encrypted Control Systems Under Least Squares Identification
Optimal Controller and Security Parameter for Encrypted Control Systems Under Least Squares Identification
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DOI：
10.1109/lcsys.2023.3269390
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发表时间：
2023-02
影响因子：
3
通讯作者：
K. Teranishi;K. Kogiso
中科院分区：
文献类型：
--
作者：
K. Teranishi;K. Kogiso
加密控制是一种使用同态加密的控制器计算安全外包框架，允许对加密数据执行算术运算而无需解密。在以前的研究中，加密控制系统的安全级别是根据系统识别的难度和计算时间来量化的。这封信调查的加密控制系统的最佳设计时，面对攻击，试图估计系统参数的最小二乘法从安全水平的角度来看。本文提出了一个最优H {2}控制器，它使估计的难度最大化，并给出了一个确定保证加密控制系统安全性的最小安全参数的方程，作为设计问题的解决方案。所提出的控制器和安全参数有利于降低加密控制系统的计算成本，同时达到所需的安全级别。此外，所提出的设计方法，使加密控制系统的系统设计。
Encrypted control is a framework for the secure outsourcing of controller computation using homomorphic encryption that allows to perform arithmetic operations on encrypted data without decryption. In a previous study, the security level of encrypted control systems was quantified based on the difficulty and computation time of system identification. This letter investigates an optimal design of encrypted control systems when facing an attack attempting to estimate a system parameter by the least squares method from the perspective of the security level. This letter proposes an optimal ${H}_{2}$ controller that maximizes the difficulty of estimation and an equation to determine the minimum security parameter that guarantee the security of an encrypted control system as a solution to the design problem. The proposed controller and security parameter are beneficial for reducing the computation costs of an encrypted control system, while achieving the desired security level. Furthermore, the proposed design method enables the systematic design of encrypted control systems.