Encrypted controllers using homomorphic encryption have proven to guarantee the privacy of measurement and control signals, as well as system and controller parameters, while regulating the system as intended. However, encrypting dynamic controllers has remained a challenge due to growing noise and overflow issues in the encoding. In this paper, we review recent approaches to dynamic encrypted control, such as bootstrapping, periodic resets of the controller state, integer reformulations, and FIR controllers, and equip them with a stability and performance analysis to evaluate their suitability. We complement the analysis with a numerical performance comparison on a benchmark system.

翻译：使用同态加密的加密控制器已被证明能够在按预期调节系统的同时，保证测量与控制信号以及系统与控制器参数的隐私性。然而，由于编码过程中不断增长的噪声与溢出问题，对动态控制器进行加密始终是一个挑战。本文回顾了动态加密控制的最新方法，例如自举法、控制器状态的周期性重置、整数重构以及有限脉冲响应控制器，并为其配备了稳定性与性能分析，以评估其适用性。我们通过在一个基准系统上的数值性能比较来补充该分析。