Closed-Loop Frequency Analysis of Reset Control Systems
Abstract
This paper introduces a closed-loop frequency analysis tool for reset control systems. To begin with sufficient conditions for the existence of the steady-state response for a closed-loop system with a reset element and driven by periodic references are provided. It is then shown that, under specific conditions, such a steady-state response for periodic inputs is periodic with the same period as the input. Furthermore, a framework to obtain the steady-state response and to define a notion of closed-loop frequency response, including high order harmonics, is presented. Finally, pseudo-sensitivities for reset control systems are defined. These simplify the analysis of this class of systems and allow a direct software implementation of the analysis tool. To show the effectiveness of the proposed analysis method the position control problem for a precision positioning stage is studied. In particular, comparison with the results achieved using methods based on the Describing Function shows that the proposed method achieves superior closed-loop performance.
Cite
@article{arxiv.2001.10487,
title = {Closed-Loop Frequency Analysis of Reset Control Systems},
author = {Ali Ahmadi Dastjerdi and A. Astolfi and Niranjan Saikumar and N. Karbasizadeh and Duarte Valerio and S. Hassan HosseinNia},
journal= {arXiv preprint arXiv:2001.10487},
year = {2020}
}