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Dynamic event-triggered distributed observer for linear systems.

Dan-Dan Zhou1

  • 1School of Mathematics and Economics, Hubei University of Education, Wuhan 430205, PR China.

ISA Transactions
|January 15, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces a dynamic event-triggered distributed observer for linear systems. It efficiently estimates system states using a novel approach that reduces communication load while ensuring stability.

Keywords:
Distributed observerDynamic event-triggering mechanismHybrid systemsLinear systems

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Area of Science:

  • Control Systems Engineering
  • Distributed Systems
  • Observer Design

Background:

  • Distributed observers are crucial for monitoring complex linear systems.
  • Existing methods often face communication burdens and stability challenges.
  • Handling systems with both detectable and undetectable subsystems requires specialized approaches.

Purpose of the Study:

  • To develop a dynamic event-triggered distributed observer for linear systems.
  • To reduce communication load by transmitting only undetectable sub-state estimates.
  • To ensure exponential stability of the observer system.

Main Methods:

  • Utilizing detectability decomposition to separate detectable sub-state (DSS) and undetectable sub-state (USS) observers.
  • Implementing a dynamic event-triggered mechanism (DETM) using a low-dimension DSS observer.
  • Modeling error systems as hybrid systems to analyze stability.

Main Results:

  • The proposed observer effectively estimates system states with reduced communication.
  • The DETM requires only a copy of the DSS observer, minimizing data transmission.
  • Positive minimum inter-event times are guaranteed.
  • Exponential stability is achieved through hybrid system modeling.

Conclusions:

  • The dynamic event-triggered distributed observer offers an efficient and stable solution for linear systems.
  • This approach significantly alleviates communication burdens in distributed observer networks.
  • The method provides a robust framework for state estimation in complex systems.