Bibliographic Details
| Title: |
Robust exact uniformly convergent arbitrary order differentiator. |
| Authors: |
Angulo, Marco Tulio1 darkbyte@gmail.com, Moreno, Jaime A.2 jmorenop@ii.unam.mx, Fridman, Leonid3 lfridman@unam.mx |
| Source: |
Automatica. Aug2013, Vol. 49 Issue 8, p2489-2495. 7p. |
| Subjects: |
Robust control, Arbitrary constants, Differentiator circuits, Hypothesis, Computer networks, Social groups |
| Abstract: |
Abstract: 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 times is that its -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. [Copyright &y& Elsevier] |
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| Database: |
Engineering Source |
