Observer-based event-triggered H control for Hamiltonian systems

  • 0Institute of Automation, Qufu Normal University, Qufu, 273165, PR China.

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Summary

This summary is machine-generated.

This study introduces an event-triggered H∞ controller for networked Hamiltonian systems, enhancing stability and performance even with unknown states and network delays. The proposed method ensures robust control by utilizing system Hamiltonian for event triggering.

Area Of Science

  • Control Theory
  • Networked Systems
  • Power Systems Engineering

Background

  • Networked control systems often suffer from performance degradation due to delays.
  • Hamiltonian systems possess unique structural properties crucial for stability analysis.
  • Observer-based control is essential when system states are not directly measurable.

Purpose Of The Study

  • To design an observer-based event-triggered H∞ controller for Hamiltonian systems with network delays.
  • To develop a novel event-triggering mechanism based on the system's Hamiltonian.
  • To ensure global asymptotic stability and achieve the H∞ performance index under external disturbances.

Main Methods

  • An event-triggered scheme using the Hamiltonian to determine trigger times.
  • Design of an observer-based controller to handle unknown states.
  • Transformation of the closed-loop system into a time-delay Hamiltonian system.
  • Derivation of sufficient conditions for H∞ performance based on system structure.

Main Results

  • The proposed event-triggered scheme effectively manages network communication.
  • The observer-based controller ensures stability and H∞ performance for systems with unknown states.
  • Sufficient conditions guaranteeing the H∞ performance index are established for both available and unavailable states.
  • Simulation results on multi-machine power systems validate the controller's effectiveness.

Conclusions

  • The developed observer-based event-triggered H∞ controller is effective for networked Hamiltonian systems with delays.
  • The event-triggering strategy based on the Hamiltonian improves control efficiency.
  • The approach provides robust performance against external disturbances in power system applications.

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