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    This study optimizes distributed filtering for systems with binary measurements, using a novel threshold strategy and event-triggered communication to ensure reliable data transmission and filter performance.

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    Area of Science:

    • Control Engineering
    • Signal Processing
    • Systems Science

    Background:

    • Distributed filtering is crucial for systems with decentralized sensors and limited communication.
    • Binary measurements introduce uncertainties that challenge traditional filtering approaches.
    • Event-triggered communication protocols are needed to manage network resources efficiently.

    Purpose of the Study:

    • To develop an optimized distributed filtering strategy for discrete linear time-varying systems using binary measurements.
    • To address uncertainties in binary measurements with a novel time-varying threshold.
    • To implement dynamic event-triggered protocols for resource-constrained information transmission.

    Main Methods:

    • Designing two cases for extracting measurement information from binary data.
    • Introducing a time-varying threshold strategy to mitigate measurement uncertainties.
    • Employing dynamic event-triggering protocols with token bucket specifications for data transmission scheduling.

    Main Results:

    • Ensuring exponential boundedness in the mean square for the filtering error system.
    • Recursively calculating filter parameters via distributed optimization problems.
    • Demonstrating the effectiveness of the proposed distributed filtering scheme through simulations.

    Conclusions:

    • The developed distributed filtering scheme effectively handles binary measurements and system uncertainties.
    • The combination of novel thresholding and event-triggering enhances filtering performance and scalability.
    • The approach provides a robust solution for optimized distributed filtering in networked systems.