Sigmoid-like Event-Triggered Security Cruise Control under Stochastic False Data Injection Attacks
Abstract
:1. Introduction
- A novel Sigmoid-like ETS is proposed to cope with the co-design of the control and communication of CCSs. Compared with the traditional static ETSs [23], adaptive ETSs [21,22] and dynamic ETSs [6,11], the proposed Sigmoid-like ETS will guarantee the upper bound of event-triggered thresholds while making full use of the state perception;
- The security control of CCSs under stochastic FDI attacks is well characterized with the proposed Sigmoid-like ETS. Rather than detecting the FDI attacks in a complicated way [18,19,24], the studied event-triggered security control of CCSs is of performance even on the condition that the FDI attack detection fails.
2. Preliminaries
2.1. Sigmoid-like ETS
- The is a monotonic decreasing function along with ;
- It is obvious that is held.
2.2. Stochastic FDI Attacks
2.3. Control Objectives
3. Main Results
Algorithm 1: Find the controller gain , event-triggered parameter and weighting matrix |
1: Set the positive scalars , and the initial event-triggered parameter . Give the increasing step and an optimization target ; |
2: While ; |
3: ; |
4: Solve LMIs (18), if there is a feasible solution X, , and satisfying LMIs (18), go to the next step. Otherwise, return 1; |
5: Return and calculate , . |
4. Simulation Examples
4.1. Parameters Setting
- System parameters:Set the vehicle to cruise with different velocities: 5 m/s, 10 m/s, 15 m/s. In the system (3), the disturbance is , s, and the other parameters are s, s, s, , , the initial state ;
- FDI attack parameters:The probability of FDI attack is with ⩽ and = ; ; , where the weighting matrix = diag{ };
- Event-triggered parameters:The event-triggered related parameter , , (a is in Sigmoid-like function).
4.2. Discussions of Simulation Results
- Case I: FDI-free case
- Case II: FDI attack case
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
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N | T | |||
---|---|---|---|---|
0.2 | 75 | 114 | 0.3824 | 0.2599 |
0.3 | 72 | 111 | 0.3321 | 0.2508 |
0.4 | 63 | 118 | 0.4563 | 0.2536 |
0.5 | 61 | 158 | 0.4633 | 0.1271 |
0.6 | 69 | 418 | 0.4046 | 0.0710 |
0.7 | 71 | 2357 | 0.4189 | 0.0126 |
0.8 | - | - | - | - |
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Zhang, P.; Sun, H.; Peng, C.; Tan, C. Sigmoid-like Event-Triggered Security Cruise Control under Stochastic False Data Injection Attacks. Processes 2022, 10, 1326. https://doi.org/10.3390/pr10071326
Zhang P, Sun H, Peng C, Tan C. Sigmoid-like Event-Triggered Security Cruise Control under Stochastic False Data Injection Attacks. Processes. 2022; 10(7):1326. https://doi.org/10.3390/pr10071326
Chicago/Turabian StyleZhang, Pengfei, Hongtao Sun, Chen Peng, and Cheng Tan. 2022. "Sigmoid-like Event-Triggered Security Cruise Control under Stochastic False Data Injection Attacks" Processes 10, no. 7: 1326. https://doi.org/10.3390/pr10071326