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Distributed filtering for nonlinear time-varying systems with Byzantine attacks and innovation constraints: A FlexRay
Xueyang Meng1, Yun Chen1, Jianjun Bai1
1School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China.
This study designs a distributed filter for time-varying systems with nonlinearities and Byzantine attacks, ensuring finite-horizon l2-l∞ performance for robust filtering.
Area of Science:
- Control Systems Engineering
- Networked Systems Security
- Stochastic Systems Analysis
Background:
- Distributed filtering is crucial for networked systems but challenged by stochastic nonlinearities and Byzantine attacks.
- Limited network resources necessitate efficient data transmission protocols like FlexRay scheduling.
Purpose of the Study:
- To design a distributed filter for time-varying systems with stochastic nonlinearities and Byzantine attacks.
- To achieve finite-horizon l2-l∞ performance for the filtering error dynamics under these conditions.
Main Methods:
- A FlexRay scheduling mechanism (Round-Robin, weighted try-once-discard) is used for sensor-filter communication.
- A Byzantine attack model simulates falsified measurements.
- Stochastic analysis and matrix inequalities are employed to derive filter existence conditions and design parameters.
Main Results:
- A sufficient condition for the existence of the distributed filter is derived.
- Filter parameters are designed by solving matrix inequalities.
- A recursive algorithm is presented for online implementation.
Conclusions:
- The proposed distributed filter design guarantees finite-horizon l2-l∞ performance for the targeted systems.
- The recursive algorithm is suitable for real-time applications.
- Numerical examples validate the theoretical findings.
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