Name
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 (n-1) times is that its n-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. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.automatica.2013.04.034 | Automatica |
Keywords | Field | DocType |
Differentiator,Robustness,Sliding-mode control | Differentiator,Control theory,Uniform boundedness,Uniform convergence,Robustness (computer science),Mathematics,Finite time,Sliding mode control | Journal |
Volume | Issue | ISSN |
49 | 8 | 0005-1098 |
Citations | PageRank | References |
39 | 1.71 | 11 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Marco Tulio Angulo | 1 | 77 | 8.01 |
| Jaime A. Moreno | 2 | 771 | 70.62 |
| Leonid M. Fridman | 3 | 1999 | 211.93 |