混合攻击下模糊马尔可夫跳变系统非脆弱异步控制

祝超群; 刘淑慧

doi:10.13700/j.bh.1001-5965.2024.0349

混合攻击下模糊马尔可夫跳变系统非脆弱异步控制

doi: 10.13700/j.bh.1001-5965.2024.0349

祝超群^{1, 2, 3, ,},
刘淑慧¹

1.
兰州理工大学电气工程与信息工程学院，兰州 730050
2.
甘肃省工业过程先进控制重点实验室，兰州 730050
3.
兰州理工大学电气与控制工程国家级实验教学示范中心，兰州 730050

基金项目:

国家自然科学基金项目(62363024, 62263019)

详细信息

通讯作者:
E-mail：chaoqunzhu@yeah.net

中图分类号: TP273
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- 被引次数: 0
出版历程
- 收稿日期: 2024-05-23
- 录用日期: 2024-12-20
- 网络出版日期: 2025-03-05
- 整期出版日期: 2026-07-31

Nonfragile asynchronous control of fuzzy Markov jump systems under hybrid cyber-attacks

ZHU Chaoqun^{1, 2, 3
, ,},
LIU Shuhui¹

1.
College of Electrical and Information Engineering，Lanzhou University of Technology，Lanzhou 730050，China
2.
Key Laboratory of Gansu Advanced Control for Industrial Processes，Lanzhou 730050，China
3.
National Demonstration Center for Experimental Electrical and Control Engineering Education，Lanzhou University of Technology，Lanzhou 730050，China

Funds:

National Natural Science Foundation of China (62363024,62263019)

More Information

Corresponding author: E-mail：chaoqunzhu@yeah.net

摘要

摘要:
针对具有混合网络攻击和时变时延的Takagi-Sugeno (T-S)模糊马尔可夫跳变系统（MJSs），提出系统的非脆弱异步控制方法。利用T-S模糊方法基于模糊规则建立马尔可夫跳变系统模型，同时在通信网络中考虑由欺骗攻击和拒绝服务（DoS）攻击组成的混合网络攻击，并在测量信道中采用动态事件触发通信机制，从而降低不必要的数据传输；借助Lyapunov-Krasovskii方法和线性矩阵不等式技术推导出了闭环系统随机稳定性的充分条件，并利用线性不等式技术求解出非脆弱异步控制器增益矩阵。通过仿真算例验证了所提方法的正确性和有效性。
- T-S模糊马尔可夫跳变系统 /
- 拒绝服务攻击 /
- 欺骗攻击 /
- 动态事件触发 /
- 非脆弱异步控制
Abstract:
The nonfragile asynchronous control method is proposed for Takagi-Sugeno (T-S) fuzzy Markov jump systems (MJSs) with hybrid cyber-attacks and time-varying delays. Firstly, the Markov jump system model is established by utilizing the T-S fuzzy method under fuzzy rules. The hybrid cyber-attacks consisting of deception attacks and denial-of-service (DoS) attacks are considered in the communication network, and the dynamic event-triggered communication mechanism is adopted in the measurement channel to reduce unnecessary data transmission. Secondly, sufficient conditions for the stochastic stability of the closed-loop system are derived in terms of the Lyapunov-Krasovskii method and linear matrix inequality technique. The linear matrix inequality technique is used to solve the nonfragile asynchronous control gain matrices. Lastly, simulation examples verify the correctness and effectiveness of the proposed method.
- T-S fuzzy Markov jump systems /
- denial-of-service attacks /
- deception attacks /
- dynamic event triggering /
- nonfragile asynchronous control

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图 1 系统结构

Figure 1. System structure

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图 2 被控对象和控制器的T-S模糊隶属函数

Figure 2. T-S fuzzy membership function of controlled objects and controllers

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图 3 系统模态与控制器模态

Figure 3. System mode and controller mode

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图 4 欺骗攻击与DoS攻击的发生时刻

Figure 4. Spoofing attacks and DoS attacks occurred at the time

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图 5 系统时变时延轨迹

Figure 5. System time-varying delay trajectory

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图 6 动态事件触发时刻

Figure 6. Dynamic event triggering time

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图 7 闭环系统状态轨迹

Figure 7. Closed-loop system state trajectory

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图 8 单连杆机械臂系统状态

Figure 8. Single-link robotic arm system status

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图 9 采用文献[9]控制方法的状态轨迹

Figure 9. State trajectory of control method in reference [9] is adopted

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表 1 不同时延最大值的状态项指标比较

Table 1. Comparison of state item indicators under different maximum delay values

归一化时延最大值状态项指标仿真步数

3 32.6534 50

5 36.3448 50

7 44.5768 50

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表 2 不同控制方法的性能指标比较

Table 2. Comparison of performance indicators under different control methods

控制方法仿真步数稳定步数状态项指标

本文方法 50 23 35.3751

文献[9] 50 49 71.2678

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参考文献(23)

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