Distributed Set-Membership Filtering for Multirate Systems Under the Round-Robin Scheduling Over Sensor Networks.

Area of Science:

• Control Systems Engineering
• Networked Systems
• Signal Processing

Background:

• Distributed set-membership filtering is crucial for sensor networks.
• Communication burden and multirate systems pose significant challenges.
• Existing methods often struggle with efficiency and real-time implementation.

Purpose of the Study:

• To design a distributed filter for time-varying multirate systems in sensor networks.
• To reduce communication load using a round-Robin (RR) protocol.
• To ensure filtering accuracy in the presence of bounded noise and multirate sampling.

Main Methods:

• Exploiting the round-Robin (RR) protocol for orchestrated data transmission.
• Implementing a multirate strategy for sampling and filter updates.
• Utilizing the lifting technique to establish a unified sampling rate for the augmented system.
• Designing distributed filter gains by minimizing an error state ellipsoid.

Main Results:

• A recursive, resource-efficient filtering algorithm is developed.
• The method effectively handles the complexities of RR protocols and multirate systems.
• Guaranteed inclusion of all possible error states within a defined ellipsoid.
• Demonstrated effectiveness through a numerical simulation example.

Conclusions:

• The proposed protocol-based distributed filter design is effective for multirate sensor networks.
• The method offers a practical solution for reducing communication costs.
• The recursive nature facilitates online implementation and real-world applicability.