具有偏置自激振荡的离散时滞Lur 'e模型
A Discrete-Time, Time-Delayed Lur'e Model with Biased Self-Excited Oscillations
摘要：
自激系统出现在许多应用中，例如生化系统、具有流体-结构相互作用的机械系统以及具有燃烧动态的燃料驱动系统。本文提出了一个Lur 'e模型，表现出偏置自激振荡下恒定的输入。该模型包括渐近稳定的线性动力学，时滞，洗出滤波器，和饱和非线性。对于环路传递函数的所有足够大的标度，这些分量在小信号电平下引起发散，在大信号幅度下引起衰减，从而产生振荡响应。偏置生成机制用于指定振荡的平均值。本文的主要贡献是详细分析了该模型的离散时间版本。
英文摘要：
Self-excited systems arise in many applications, such as biochemical systems, mechanical systems with fluid-structure interaction, and fuel-driven systems with combustion dynamics. This paper presents a Lur'e model that exhibits biased self-excited oscillations under constant inputs. The model involves asymptotically stable linear dynamics, time delay, a washout filter, and a saturation nonlinearity. For all sufficiently large scalings of the loop transfer function, these components cause divergence under small signal levels and decay under large signal amplitudes, thus producing an oscillatory response. A bias-generation mechanism is used to specify the mean of the oscillation. The main contribution of the paper is a detailed analysis of a discrete-time version of this model.
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