隐蔽攻击下信息物理系统的安全输出反馈控制

张淇瑞; 孟思琪; 王兰豪; 刘坤; 代伟

doi:10.16383/j.aas.c220893

隐蔽攻击下信息物理系统的安全输出反馈控制

doi: 10.16383/j.aas.c220893

张淇瑞^1,,
孟思琪^1,,
王兰豪^2,,
刘坤^3,,
代伟^{1, 4,}

1.
中国矿业大学信息与控制工程学院徐州 221116
2.
国家煤加工与洁净化工程技术研究中心徐州 221116
3.
北京理工大学自动化学院北京 100081
4.
中国矿业大学人工智能研究院徐州 221116

基金项目: 国家自然科学基金(61973306, 62273041, 61873034), 江苏省自然科学基金(BK20200086), 流程工业综合自动化国家重点实验室联合开放基金(2020-KF-21-10, 2021-KF-21-05), 矿冶过程自动控制技术国家重点实验室开放基金(BGRIMM-KZSKL-2022-7)资助

详细信息

作者简介:
张淇瑞：中国矿业大学信息与控制工程学院副教授. 主要研究方向为信息物理系统的脆弱性分析, 安全控制和隐私保护. E-mail: qiruizhang@cumt.edu.cn

孟思琪：中国矿业大学信息与控制工程学院硕士研究生. 主要研究方向为信息物理系统的安全控制. E-mail: siqimeng@cumt.edu.cn

王兰豪：国家煤加工与洁净化工程技术研究中心副教授. 主要研究方向为复杂工业过程的工艺参数检测, 优化决策与智能控制. 本文通信作者. E-mail: wanglanhao888@163.com

刘坤：北京理工大学自动化学院研究员. 主要研究方向为网络化控制理论与应用, 复杂网络安全. E-mail: kunliubit@bit.edu.cn

代伟：中国矿业大学信息与控制工程学院教授. 主要研究方向为复杂工业过程建模, 运行优化与控制. E-mail: weidai@cumt.edu.cn

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出版历程
- 收稿日期: 2022-11-16
- 录用日期: 2023-03-21
- 网络出版日期: 2023-04-11

Secure Output-feedback Control for Cyber-physical Systems Under Stealthy Attacks

ZHANG Qi-Rui^1
,,
MENG Si-Qi^1
,,
WANG Lan-Hao^2
,,
LIU Kun^3
,,
DAI Wei^{1, 4
,}

1.
School of Information and Control Engineering, China University of Mining and Technology, Xuzhou 221116
2.
National Engineering Research Center of Coal Preparation and Purification, Xuzhou 221116
3.
School of Automation, Beijing Institute of Technology, Beijing 100081
4.
Artificial Intelligence Research Institute, China University of Mining and Technology, Xuzhou 221116

Funds: Supported by National Natural Science Foundation of China (61973306, 62273041, 61873034), Natural Science Foundation of Jiangsu Province (BK20200086), Joint Open Foundation of State Key Laboratory of Synthetical Automation for Process Industries (2020-KF-21-10, 2021-KF-21-05), and Open Foundation of State Key Laboratory of Process Automation in Mining and Metallurgy (BGRIMM-KZSKL-2022-7)

More Information

Author Bio:
ZHANG Qi-Rui　Associate professor at the School of Information and Control Engineering, China University of Mining and Technology. His research interest covers vulnerability analysis of cyber-physical systems, secure control, and privacy protection

MENG Si-Qi　Master student at the School of Information and Control Engineering, China University of Mining and Technology. Her main research interest is secure control of cyber-physical systems

WANG Lan-Hao　Associate professor at National Engineering Research Center of Coal Preparation and Purification. His research interest covers process parameter detection, optimal decision making, and intelligent control of complex industrial process. Corresponding author of this paper

LIU Kun　Professor at the School of Automation, Beijing Institute of Technology. His research interest covers theory and applications of networked control, and security of complex networked systems

DAI Wei　Professor at the Schoolof Information and Control Engineering, China University of Mining and Technology. His research interest covers modeling, operational optimization and control for complex industrial process

摘要

摘要: 研究了受到隐蔽攻击的信息物理系统的安全控制问题. 采用Kullback-Leibler(KL)散度描述攻击的隐蔽性, 并设计动态输出反馈控制器使得系统可达集始终保持在安全区域内, 其中可达集定义为系统状态以一定概率属于的集合. 首先, 给出了隐蔽攻击下检测器残差所在范围的一个外椭球近似集. 其次, 根据该近似集和噪声的范围给出了控制器参数与系统椭球形不变可达集的关系. 然后, 通过设计可逆线性变换并构造凸优化问题, 求解安全动态输出控制器参数和相应的不变可达集. 最后, 使用弹簧-质量-阻尼系统进行仿真, 验证了所提控制方法的有效性.
- 信息物理系统 /
- 隐蔽攻击 /
- 安全控制 /
- Kullback-Leibler(KL)散度 /
- 可达集
Abstract: Secure control problem of cyber-physical systems under stealthy attacks is studied. The Kullback-Leibler(KL) divergence is adopted to describe the attack＇s stealthiness. The aim is to design a secure dynamic output-feedback controller such that the reachable set, which is defined as the set that the system＇s state resides in with a certain probability, belongs to a safe set. Firstly, an ellipsoidal outer approximation for the set of residual under stealthy attacks is given. Secondly, based on the approximation and the ranges of noises, the relationship between controller＇s parameters and the ellipsoidal invariant reachable set is analyzed. Thirdly, a convex optimization problem is constructed by designing an invertible linear transformation. Parameters of the secure controller and the corresponding invariant reachable set are obtained by solving the problem. Finally, a simulation of the spring-mass-damping system is given to verify the effectiveness of the proposed controller.
- Cyber-physical system /
- stealthy attack /
- secure control /
- Kullback-Leibler(KL) divergence /
- reachable set

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图 1 不同a、b、c值下参数δ和椭球形不变可达集体积的关系

Fig. 1 Relationship between δ and volume of ellipsoidal invariant reachable set with different a, b and c

下载: 全尺寸图片幻灯片

图 2 不同a、b、c值下参数α和椭球形不变可达集体积的关系

Fig. 2 Relationship between α and volume of ellipsoidal invariant reachable set with different a, b and c

下载: 全尺寸图片幻灯片

图 3 不同a、b、c值下系统状态的椭球形不变可达集

Fig. 3 Ellipsoidal invariant reachable sets of system＇s state with different a, b and c

下载: 全尺寸图片幻灯片

图 4 不同a、b、c值下参数α和$ {\rm{Tr}}(Y)$的关系

Fig. 4 Relationship between α and $ {\rm{Tr}}(Y)$ with different a, b and c

下载: 全尺寸图片幻灯片

图 5 未使用控制器和使用控制器 (5) ~ (6)时系统状态的椭球形不变可达集

Fig. 5 Ellipsoidal invariant reachable set of system＇s state without controller and with controller (5) ~ (6)

下载: 全尺寸图片幻灯片

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