This work addresses virtual resistance (VR)based control for grid-connected inverters, which enhances transient damping, reduces steady-state errors, and improves robustness to grid disturbances without requiring additional voltage sensors. Classical passivity-based VR control is robust, but limited by restrictive sector bounds on nonlinearities. We extend these bounds and model the closed-loop system as a generalized Persidskii-type nonlinear system. Using this framework, we derive input-to-state stability (ISS) conditions that account for the extended nonlinearities and external disturbances, providing a systematic and less conservative approach to VR control design under practical operating conditions, which is validated through extensive simulations.
@article{arxiv.2512.18428,
title = {Virtual Resistance-Based Control for Grid-Connected Inverters using Persidskii Systems Approach},
author = {Chakib Chatri and Ajul Dinesh and Moussa Labbadi},
journal= {arXiv preprint arXiv:2512.18428},
year = {2025}
}