一种离散时间匹配滤波微分器
A Discrete-Time Matching Filtering Differentiator
摘要：
本文提出了一种鲁棒精确滤波微分器的时间离散化方法，它是一种与滤波器耦合的滑模微分器，它能对某些含噪信号的导数提供一种合适的逼近。该建议利用了微分器的均匀性，允许使用与线性系统类似的技术。在原来的情况下，收敛鲁棒精确滤波微分器取决于一个高阶导数的界，然而，这种新的实现可以实现或不知道这样的常数。它表明，系统的轨迹收敛到一个附近的原点与自由噪声输入。最后，不同的设计参数的微分器的行为之间的比较。
英文摘要：
This paper presents a time discretization of the robust exact filtering differentiator, a sliding mode differentiator coupled to filter, which provides a suitable approximation to the derivatives of some noisy signals. This proposal takes advantage of the homogeneity of the differentiator, allowing the use of similar techniques to those of the linear systems. As in the original case, the convergence robust exact filtering differentiator depends on the bound of a higher-order derivative; nevertheless, this new realization can be implemented with or without the knowledge of such constant. It is demonstrated that the system's trajectories converge to a neighborhood of the origin with a free-noise input. Finally, comparisons between the behavior of the differentiator with different design parameters are presented.
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