论文标题
重置元素中的频带通过非线性
Band-Passing Nonlinearity in Reset Elements
论文作者
论文摘要
本文解决了重置元素及其效果的非线性。与线性对应物相比，重置元素的相位滞后较小而闻名。但是，它们是非线性元素，并产生高阶谐波。本文研究了具有一个重置状态的重置元件的高阶谐波，并提出了一种架构和一种设计方法，该方法允许逐步限定非线性及其效果，即高阶谐波和相位优势。重置元件的非线性对于所有频率并不完全有用，例如，它们可用于降低交叉频率区域的相位滞后。但是，高阶谐波可以在较低频率下损害跟踪和干扰排斥性能。使用建议的“相位塑形”方法，可以在所需的频率范围内有选择地抑制单状态重置元件的非线性，并允许非线性在不同所需的频率范围内提供其相位益处。这对于“增益常数，阶段铅”（CGLP）滤波器的框架中的重置元素特别有用，该滤波器是一种新引入的非线性滤波器，以绕过众所周知的线性控制限制 - 水上效应。
This paper addresses nonlinearity in reset elements and their effects. Reset elements are known for having less phase lag compared to their linear counterparts; however, they are nonlinear elements and produce higher-order harmonics. This paper investigates the higher-order harmonics for reset elements with one resetting state and proposes an architecture and a method of design which allows for band-passing the nonlinearity and its effects, namely, higher-order harmonics and phase advantage. The nonlinearity of reset elements is not entirely useful for all frequencies, e.g., they are useful for reducing phase lag at cross-over frequency region; however, higher-order harmonics can compromise tracking and disturbance rejection performance at lower frequencies. Using proposed "phase shaping" method, one can selectively suppress nonlinearity of a single-state reset element in a desired range of frequencies and allow the nonlinearity to provide its phase benefit in a different desired range of frequencies. This can be especially useful for the reset elements in the framework of "Constant in gain, Lead in phase" (CgLp) filter, which is a newly introduced nonlinear filter, bound to circumvent the well-known linear control limitation -- the waterbed effect.
