Stochastic stability analysis of networked control systems with random cryptographic protection under random zero-measurement attacks

Meng-zhou GAO; Dong-qin FENG

doi:10.1631/FITEE.1700334

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Stochastic stability analysis of networked control systems with random cryptographic protection under random zero-measurement attacks

Regular Papers | Updated：2022-05-19

- Stochastic stability analysis of networked control systems with random cryptographic protection under random zero-measurement attacks
- 随机零值攻击下基于随机加密防护的网络化控制系统随机稳定性分析
- Frontiers of Information Technology & Electronic Engineering Vol. 19, Issue 9, Pages: 1098-1111(2018)
- Affiliations：
  
  State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou 310027, China
  School of Cyberspace, Hangzhou Dianzi University, Hangzhou 310018, China
  Shanghai Key Laboratory of Integrated Administration Technologies for Information Security, Shanghai 200240, China
- Author bio：
  
  [ "Meng-zhou GAO, E-mail: mzgao@hdu.edu.cn" ]
  Dong-qin FENG, E-mail: dongqinfeng@zju.edu.cn
- Funds：
- DOI：10.1631/FITEE.1700334
  CLC： TP273
- Received：25 May 2017，
  
  Revised：2018-;9-15，
  
  Published：2018-09
- Accepted：
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Meng-zhou GAO, Dong-qin FENG. Stochastic stability analysis of networked control systems with random cryptographic protection under random zero-measurement attacks[J]. Frontiers of Information Technology & Electronic Engineering, 2018, 19(9): 1098-1111.
DOI：

Meng-zhou GAO, Dong-qin FENG. Stochastic stability analysis of networked control systems with random cryptographic protection under random zero-measurement attacks[J]. Frontiers of Information Technology & Electronic Engineering, 2018, 19(9): 1098-1111. DOI： 10.1631/FITEE.1700334.

摘要

近年来，网络化控制系统的安全问题受到广泛重视。安全防护需要额外的能量消耗、计算资源负荷以及时间延迟，使得实时、能量受限系统受到影响。因此，采用随机加密防护技术，该技术相比持续性加密防护技术在计算负荷、时间和能量消耗方面代价较小。针对能力较弱的攻击者，即系统经验知识较少，攻击能力有限，同时又有攻击欲望，考虑了一种随机零值攻击，即恶意地将测量值篡改为零信号。随机加密防护与随机零值攻击分别服从于两个相关的伯努利分布随机变量，该情况下网络化控制系统变成随机系统；基于线性矩阵不等式法开展了随机稳定性分析。所提的随机稳定性分析结果有助于确定一定攻击概率的随机零值攻击下所需的随机加密防护概率。最后，基于某垂直起降飞行系统进行仿真实验。仿真结果表明该方法的有效性、鲁棒性与适用性。此外，结果表明在选择合适防护技术时，应考虑延迟的影响；在确定系统采样周期时，应考虑采样周期对增加攻击鲁棒性的作用。

Abstract

Security issues in networked control systems (NCSs) have received increasing attention in recent years. However

security protection often requires extra energy consumption

computational overhead

and time delays

which could adversely affect the real-time and energy-limited system. In this paper

random cryptographic protection is implemented. It is less expensive with respect to computational overhead

time

and energy consumption

compared with persistent cryptographic protection. Under the consideration of weak attackers who have little system knowledge

ungenerous attacking capability and the desire for stealthiness and random zero-measurement attacks are introduced as the malicious modification of measurements into zero signals. NCS is modeled as a stochastic system with two correlated Bernoulli distributed stochastic variables for implementation of random cryptographic protection and occurrence of random zero-measurement attacks; the stochastic stability can be analyzed using a linear matrix inequality (LMI) approach. The proposed stochastic stability analysis can help determine the proper probability of running random cryptographic protection against random zero-measurement attacks with a certain probability. Finally

a simulation example is presented based on a vertical take-off and landing (VTOL) system. The results show the effectiveness

robustness

and application of the proposed method

and are helpful in choosing the proper protection mechanism taking into account the time delay and in determining the system sampling period to increase the resistance against such attacks.

关键词

Keywords

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