کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
695661 | 890310 | 2013 | 7 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Robust exact uniformly convergent arbitrary order differentiator Robust exact uniformly convergent arbitrary order differentiator](/preview/png/695661.png)
An arbitrary order differentiator that, in the absence of noise, converges to the true derivatives of the signal after a finite time independent of the initial differentiator error is presented. The only assumption on a signal to be differentiated (n−1)(n−1) times is that its nn-th derivative is uniformly bounded by a known constant. The proposed differentiator switches from a newly designed uniform differentiator to the classical High-Order Sliding Mode (HOSM) differentiator. The Uniform part drives the differentiation error trajectories into a compact neighborhood of the origin in a time that is independent of the initial differentiation error. Then, the HOSM differentiator is used to bring the differentiation error to zero in finite-time.
Journal: Automatica - Volume 49, Issue 8, August 2013, Pages 2489–2495