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arXiv · 2512.18428

Virtual Resistance-Based Control for Grid-Connected Inverters using Persidskii Systems Approach

Chakib Chatri·Ajul Dinesh·Moussa Labbadi
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Abstract

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.

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Chakib Chatri, Ajul Dinesh, Moussa Labbadi. 2025-12-20. Virtual Resistance-Based Control for Grid-Connected Inverters using Persidskii Systems Approach. https://arxiv.org/abs/2512.18428

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