Quantization and Event-Triggered Policy Design for Encrypted Networked Control  

作　　者：Yongxia Shi Ehsan Nekouei 

机构地区：[1]the Department of Electrical Engineering,City University of Hong Kong,Hong Kong,China

出　　处：《IEEE/CAA Journal of Automatica Sinica》2024年第4期946-955,共10页自动化学报（英文版）

基　　金：the Research Grants Council of Hong Kong(CityU 21208921);the Chow Sang Sang Group Research Fund Sponsored by Chow Sang Sang Holdings International Ltd.

摘　　要：This paper proposes a novel event-driven encrypted control framework for linear networked control systems(NCSs),which relies on two modified uniform quantization policies,the Paillier cryptosystem,and an event-triggered strategy.Due to the fact that only integers can work in the Pailler cryptosystem,both the real-valued control gain and system state need to be first quantized before encryption.This is dramatically different from the existing quantized control methods,where only the quantization of a single value,e.g.,the control input or the system state,is considered.To handle this issue,static and dynamic quantization policies are presented,which achieve the desired integer conversions and guarantee asymptotic convergence of the quantized system state to the equilibrium.Then,the quantized system state is encrypted and sent to the controller when the triggering condition,specified by a state-based event-triggered strategy,is satisfied.By doing so,not only the security and confidentiality of data transmitted over the communication network are protected,but also the ciphertext expansion phenomenon can be relieved.Additionally,by tactfully designing the quantization sensitivities and triggering error,the proposed event-driven encrypted control framework ensures the asymptotic stability of the overall closedloop system.Finally,a simulation example of the secure motion control for an inverted pendulum cart system is presented to evaluate the effectiveness of the theoretical results.

关 键 词：Cyber-security encrypted control event-triggered control(ETC) networked control systems(NCSs) semi-homomorphic encryption 

分 类 号：TP393.08[自动化与计算机技术—计算机应用技术] TP273[自动化与计算机技术—计算机科学与技术]