论文标题
关于与多个随机扰动的跟踪区分的收敛性
On Convergence of Tracking Differentiator with Multiple Stochastic Disturbances
论文作者
论文摘要
在本文中，首次研究了在存在多个随机干扰的情况下跟踪区分因子的收敛性和耐噪声性能。我们考虑了一个相当普遍的情况，即输入信号被添加色的噪声损坏，并且跟踪区分本身被添加色的噪声和白噪声所困扰。结果表明，跟踪区分范围在均方根上跟踪输入信号及其广义衍生物，甚至在几乎可以肯定的是，当影响输入信号的随机噪声消失时。进行一些数值模拟以验证理论结果。
In this paper, the convergence and noise-tolerant performance of a tracking differentiator in the presence of multiple stochastic disturbances are investigated for the first time. We consider a quite general case where the input signal is corrupted by additive colored noise, and the tracking differentiator itself is disturbed by additive colored noise and white noise. It is shown that the tracking differentiator tracks the input signal and its generalized derivatives in mean square and even in almost sure sense when the stochastic noise affecting the input signal is vanishing. Some numerical simulations are performed to validate the theoretical results.
