论文标题
具有预定义收敛时间的鲁棒精确区分
Robust exact differentiators with predefined convergence time
论文作者
论文摘要
考虑到与有界第二个导数的信号完全区分的问题。提出了一类区别者，该类别会收敛于固定信号的衍生物，即有限且均匀边界的收敛时间。得出了一个调整过程，该过程允许在此收敛时间分配任意的，预定义的上限。此外，可以通过适当的调整任意地任意将此绑定变得紧密。通过将其应用于众所周知的均匀鲁棒精确区分来证明该过程的有用性，该差异包括在被认为是特殊情况下的一类差异化因子中。
The problem of exactly differentiating a signal with bounded second derivative is considered. A class of differentiators is proposed, which converge to the derivative of such a signal within a fixed, i.e., a finite and uniformly bounded convergence time. A tuning procedure is derived that allows to assign an arbitrary, predefined upper bound for this convergence time. It is furthermore shown that this bound can be made arbitrarily tight by appropriate tuning. The usefulness of the procedure is demonstrated by applying it to the well-known uniform robust exact differentiator, which is included in the considered class of differentiators as a special case.
