上海交通大学学报

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2023 , Vol. 57 >Issue 5: 624 - 630

DOI: https://doi.org/10.16183/j.cnki.jsjtu.2021.445

电子信息与电气工程

周期DoS攻击下变周期切换正系统的安全控制

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  • 河北工业大学 人工智能与数据科学学院,天津 300401
刘教(1987-),讲师,现主要从事复杂系统控制、安全控制的研究,电话(Tel.): 022-60203069;E-mail:jiaoliu@hebut.edu.cn.

收稿日期: 2021-11-08

  修回日期: 2022-12-29

  录用日期: 2022-01-11

  网络出版日期: 2023-02-17

基金资助

国家自然科学基金(62103129)

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Secure Control for Variable Periodic Switched Positive Systems Under Periodic DoS Attack

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  • School of Artificial Intelligence, Hebei University of Technology, Tianjin 300401, China

Received date: 2021-11-08

  Revised date: 2022-12-29

  Accepted date: 2022-01-11

  Online published: 2023-02-17

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摘要

周期拒绝服务(DoS)攻击阻止了切换正系统的测量通道与控制通道通过网络进行信息交换.此外,系统切换行为、DoS攻击引起的混杂行为以及正性约束增加了安全控制研究的困难.针对遭受周期DoS攻击的网络化切换正系统,提出一种基于切换行为的建模方法并研究其安全控制问题.在变周期切换条件下,通过限定切换周期与DoS攻击周期的关系,构造多线性余正Lyapunov函数,并得到闭环系统为正系统以及渐近稳定条件,进而基于正系统理论设计安全状态反馈控制器.在此基础上,讨论周期DoS攻击下系统进行恒定周期切换的情形.最后,通过仿真示例验证结果的有效性.

关键词： 切换正系统; 周期拒绝服务攻击; 多线性余正Lyapunov函数; 安全控制

本文引用格式

刘教, 孔祥娜, 张甜甜 . 周期DoS攻击下变周期切换正系统的安全控制[J]. 上海交通大学学报, 2023 , 57(5) : 624 -630 . DOI: 10.16183/j.cnki.jsjtu.2021.445

Abstract

Periodic denial-of-service (DoS) attack prevents the information exchange of measurement channel and control channel for switched positive systems through the network. Moreover, the coupling of system switching behavior and hybrid behavior due to DoS attack and positive constraint also increase the difficulty in secure control research. The secure control problem of networked switched positive systems under periodic DoS attack is studied and a modeling method based on switching behavior is proposed in this paper. Under variable periodic switching, the multiple linear copositive Lyapunov function is constructed to obtain the positive and asymptotically stable condition for the closed-loop system by limiting the relationship between the switching period and the DoS attack period, and a secure state feedback controller based on the positive system theory is designed, based on which, the constant periodic switching case is also discussed by using the positive system theory. Finally, the validity of the results is verified by a simulation example.

Key words： switched positive systems; periodic denial-of-service (DoS) attack; multiple linear copositive Lyapunov function; secure control

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