Abstract | ||
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An arbitrary order differentiator that, in 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 new differentiator is obtained by combining the HOSM differentiator with an additional part that converges uniformly with respect to the initial conditions. |
Year | DOI | Venue |
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2011 | 10.1109/CDC.2011.6160926 | 2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC) |
Keywords | Field | DocType |
differentiator, robustness, sliding-mode control | Convergence (routing),Mathematical optimization,Control theory,Differentiator,Uniform convergence,Uniform boundedness,Robustness (computer science),Exponential stability,Mathematics,Finite time,Sliding mode control | Conference |
ISSN | Citations | PageRank |
0743-1546 | 4 | 0.64 |
References | Authors | |
8 | 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 |