Observer-based event-triggered H_∞ control for Hamiltonian systems.

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.