Steady-state nonlinearity of open-loop reset systems
Systems and Control
2022-06-22 v1 Systems and Control
Abstract
In this paper, we introduce a new representation for open-loop reset systems. We show that at steady-state a reset integrator can be modelled as a parallel interconnection of the base-linear system and piece-wise constant nonlinearity. For sinusoidal input signals, this nonlinearity takes a form of a square wave. Subsequently, we show how the behaviour of a general open-loop reset system is related to the nonlinearity of a reset integrator. The proposed approach simplifies the analysis of reset elements in the frequency domain and provides new insights into the behaviour of reset control systems.
Cite
@article{arxiv.2206.10275,
title = {Steady-state nonlinearity of open-loop reset systems},
author = {Marcin B. Kaczmarek and Xinxin Zhang and S. Hassan HosseinNia},
journal= {arXiv preprint arXiv:2206.10275},
year = {2022}
}
Comments
to be published in the proceedings of the 2022 6th IEEE Conference on Control Technology and Applications