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Robust Distributed Observers for Simultaneous State and Fault Estimation over Sensor Networks.

Dingguo Liang1, Yunxiao Ren1, Yuezu Lv2

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Summary
This summary is machine-generated.

This study introduces distributed observers for simultaneous state and fault estimation in linear time-invariant (LTI) systems using sensor networks. The method ensures H∞ performance and works even without global network information.

Keywords:
H∞ performancedistributed observersfault estimationsensor networksspacecraft attitude control

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Area of Science:

  • Control Systems Engineering
  • Networked Systems
  • Fault Detection and Diagnosis

Background:

  • Decentralized estimation is crucial for large-scale systems like sensor networks.
  • Simultaneous state and fault estimation enhances system reliability and safety.
  • Existing methods often require global information, limiting scalability.

Purpose of the Study:

  • To develop distributed observers for simultaneous state and fault estimation in linear time-invariant (LTI) systems.
  • To analyze observer observability and H∞ performance in a decentralized setting.
  • To design adaptive observers that do not rely on global network data.

Main Methods:

  • Analysis of non-local observability for sensor nodes.
  • Design of distributed observers with H∞ performance guarantees.
  • Transformation of global design conditions into linear matrix inequalities (LMIs).
  • Development of fully distributed adaptive observers for disturbance-free scenarios.

Main Results:

  • The proposed H∞ distributed observers ensure performance by constraining disturbance influence.
  • The LMI condition for solvability is established, dependent on collective observability and H∞ index.
  • Fully distributed adaptive observers are designed for asymptotic state and fault estimation without global information.
  • Case studies on spacecraft attitude control validate the effectiveness of the methods.

Conclusions:

  • The developed distributed observers effectively perform simultaneous state and fault estimation in LTI systems.
  • The H∞ performance and LMI solvability conditions provide a robust framework for decentralized estimation.
  • Adaptive observers offer a viable solution for disturbance-free environments, eliminating the need for global data.