Steady-state nonlinearity of open-loop reset systems

Conference paper (2022)

Authors

X. Zhang Mechatronic Systems Design - Mechanical, Maritime and Materials Engineering
M.B. Kaczmarek Mechatronic Systems Design - Mechanical, Maritime and Materials Engineering
S. Hassan HosseinNia Mechatronic Systems Design - Mechanical, Maritime and Materials Engineering
Research Group
Mechatronic Systems Design (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2022 X. Zhang, M.B. Kaczmarek, S. Hassan HosseinNia
DOI: https://doi.org/10.1109/CCTA49430.2022.9966122
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Published Date

2022

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Precision and Microsystems Engineering

Research Group

Mechatronic Systems Design

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.

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