论文标题

开环重置系统的稳态非线性

Steady-state nonlinearity of open-loop reset systems

论文作者

Kaczmarek, Marcin B., Zhang, Xinxin, HosseinNia, S. Hassan

论文摘要

在本文中,我们介绍了开环重置系统的新表示形式。我们表明,在稳态下,重置积分器可以建模为基础线性系统的并行互连,并且是零件的恒定非线性。对于正弦输入信号,这种非线性采用方波的形式。随后,我们展示了一般开环系统的行为与重置积分器的非线性有关。提出的方法简化了频域中重置元素的分析,并为重置控制系统的行为提供了新的见解。

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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