Event-triggered Control of Port-Hamiltonian Systems under Time-delay Communication

TL;DR

This paper develops an event-triggered control strategy for interconnected port-Hamiltonian systems with time-varying communication delays, ensuring asymptotic stability through carefully designed thresholds, sampling periods, and delay allowances.

Contribution

It introduces a novel control framework that guarantees stability of port-Hamiltonian systems under periodic event-triggering with communication delays.

Findings

Achieves asymptotic stability under specified conditions.

Validates the approach with simulation results.

Provides guidelines for threshold and delay parameters.

Abstract

We study the problem of periodic event-triggered control of interconnected port-Hamiltonian systems subject to time-varying delays in their communication. In particular, we design a threshold parameter for the event-triggering condition, a sampling period, and a maximum allowable delay such that interconnected port-Hamiltonian control systems with periodic event-triggering mechanism under a time-delayed communication are able to achieve asymptotically stable behaviour. Simulation results are presented to validate the theory.