论文标题
分数订单单状态重置元件
Fractional-Order Single State Reset Element
论文作者
论文摘要
本文提出了一个分数重置元件，其架构允许抑制一系列频率的非线性效应。抑制重置元件在所需频率范围内的非线性效应，而将其保持在其余部分是有益的，尤其是当它用于“增益常数，阶段铅”（CGLP）滤波器的框架时。 CGLP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 - 水床效应。这种过滤器在频域中的理想行为是统一增益，同时为广泛的频率提供相位线。但是，CGLP的理想行为基于描述函数，这是忽略过滤器输出中高阶谐波影响的一阶近似。尽管CGLP从根本上是一种非线性过滤器，但并非所有频率都需要其非线性。因此，本文显示，使用提出的重置元件体系结构，CGLP在一系列频率方面越来越接近其理想行为，并且其性能将得到相应的改善。
This paper proposes a fractional-order reset element whose architecture allows for the suppression of nonlinear effects for a range of frequencies. Suppressing the nonlinear effects of a reset element for the desired frequency range while maintaining it for the rest is beneficial, especially when it is used in the framework of a "Constant in gain, Lead in phase" (CgLp) filter. CgLp is a newly introduced nonlinear filter, bound to circumvent the well-known linear control limitation -- the waterbed effect. The ideal behaviour of such a filter in the frequency domain is unity gain while providing a phase lead for a broad range of frequencies. However, CgLp's ideal behaviour is based on the describing function, which is a first-order approximation that neglects the effects of the higher-order harmonics in the output of the filter. Although CgLp is fundamentally a nonlinear filter, its nonlinearity is not required for all frequencies. Thus, it is shown in this paper that using the proposed reset element architecture, CgLp gets closer to its ideal behaviour for a range of frequencies, and its performance will be improved accordingly.
