Model-Free Adaptive Predictive Tracking Control for High-Speed Trains Considering Quantization Effects and Denial-of-Service Attacks
Abstract
:1. Introduction
- (1)
- For high-speed train systems with complex models, the systems are transformed into equivalent data-relational descriptions using dynamic linearization techniques, and then a model-free adaptive predictive control strategy is proposed.
- (2)
- Periodic DoS attacks and speed error quantization effects are considered, and a rigorous theoretical analysis shows that the system remains stable with the proposed strategy even under DoS attacks and speed error quantization effects.
2. Preparatory Discussion and Problem Statement
2.1. High-Speed Train Model
2.2. Controller Design
2.3. PPD Estimation Algorithm and Prediction Algorithm
- 1.
- Select the controller parameter to satisfy the inequality in Equation (11);
- 2.
- Constrain the parameter η within the interval ;
- 3.
- Ensure that the parameters μ and κ are both positive ();
- 4.
- Typically set the constant ϵ to .
2.4. Quantifier Model
2.5. DoS Attack Model
Algorithm 1 MFAPC Algorithm |
|
3. Stability Analysis
4. Simulation
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Notation | Description |
---|---|
the train speed | |
the train traction/braking force | |
T | the sampling step size |
k | the sampling moment |
the train’s additional resistance | |
tunnel resistance | |
, , | unknown resistance coefficients |
the inverse of a matrix | |
transposing the matrix | |
taking the expectations for |
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Wang, D.; Wang, F. Model-Free Adaptive Predictive Tracking Control for High-Speed Trains Considering Quantization Effects and Denial-of-Service Attacks. Actuators 2024, 13, 301. https://doi.org/10.3390/act13080301
Wang D, Wang F. Model-Free Adaptive Predictive Tracking Control for High-Speed Trains Considering Quantization Effects and Denial-of-Service Attacks. Actuators. 2024; 13(8):301. https://doi.org/10.3390/act13080301
Chicago/Turabian StyleWang, Dan, and Fuzhong Wang. 2024. "Model-Free Adaptive Predictive Tracking Control for High-Speed Trains Considering Quantization Effects and Denial-of-Service Attacks" Actuators 13, no. 8: 301. https://doi.org/10.3390/act13080301