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Distributed H_∞ State Estimator Design for Time-Delay Periodic Systems Over Scheduling Sensor Networks.

Jun-Yi Li, Bin Zhang, Renquan Lu

IEEE Transactions on Cybernetics

|February 26, 2019

Summary

This study introduces a new distributed state estimator for periodic systems with time-varying delays. The method improves stability and performance using a novel Lyapunov function and energy-saving communication scheduling.

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Area of Science:

Control Systems Engineering
Networked Systems
Signal Processing

Background:

Time-varying delays and periodic communication scheduling in sensor networks can degrade system performance.
Distributed state estimation is crucial for monitoring and controlling networked systems.

Purpose of the Study:

To design a robust distributed state estimator for periodic systems with time-varying delays.
To develop an energy-efficient periodic communication scheduling strategy.
To enhance the H_∞ performance of state estimators.

Main Methods:

A periodic delay-dependent Lyapunov function was constructed to address stability attenuation and performance loss.
An integer programming problem was solved to implement a periodic scheduling strategy for updating node innovations.
Periodic gains for distributed estimators were designed using analog tools.

Main Results:

The proposed Lyapunov function reduces conservatism and improves H_∞ performance.
The periodic scheduling strategy conserves energy by averaging innovation updates.
A visual example demonstrated the effectiveness of the communication scheduling and Lyapunov function.

Conclusions:

The developed distributed state estimator effectively handles time-varying delays and periodic communication.
The novel Lyapunov function and scheduling strategy offer improved performance and energy efficiency in sensor networks.