Higher order sliding modes and arbitrary-order exact robust differentiation

  title={Higher order sliding modes and arbitrary-order exact robust differentiation},
  author={Arie Levant},
  journal={2001 European Control Conference (ECC)},
  • Arie Levant
  • Published 2001 in 2001 European Control Conference (ECC)
An arbitrary-order finite-time-convergent exact robust differentiator is constructed based on higher-order sliding mode (HOSM) technique. Being used in a feedback together with previously proposed HOSM controllers, it produces a universal controller, formulated in input-output terms only, which causes the output of any uncertain smooth SISO minimum-phase dynamic system with known relative degree to vanish in finite time. That allows exact tracking of arbitrary real-time smooth signals. The… CONTINUE READING
Highly Cited
This paper has 33 citations. REVIEW CITATIONS
23 Citations
14 References
Similar Papers


Publications citing this paper.
Showing 1-10 of 23 extracted citations


Publications referenced by this paper.
Showing 1-10 of 14 references

Chattering avoidance by second-order sliding mode control

  • G. Bartolini, A. Ferrara, E. Usai
  • IEEE Trans. Automat. Control, vol. 43, no. 2, pp…
  • 1998
Highly Influential
6 Excerpts

Levantovsky), “Sliding order and sliding accuracy in sliding mode control

  • A. Levant L.V
  • International Journal of Control,
  • 1993
Highly Influential
7 Excerpts

Higher order sliding regimes in the binary control systems

  • S. V. Emelyanov, S. K. Korovin, L. V Levantovsky
  • Soviet Physics, Doklady, vol. 31, no. 4, pp. 291…
  • 1986
Highly Influential
6 Excerpts

First and second derivative estimation by sliding mode technique

  • G. Bartolini, A. Pisano, E. Usai
  • Journal of Signal Processing, vol. 4, no. 2, pp…
  • 2000
1 Excerpt

Higher order sliding: differentiation and black-box control

  • A. Levant
  • Proc. of the 39th IEEE Conf. on Decision and…
  • 2000
3 Excerpts

Numerical Differentiation Using High-Gain Observers

  • A. Dabroom, H. K. Khalil
  • Proc. of the 37th Conf. on Decision and Control…
  • 1997
1 Excerpt

Similar Papers

Loading similar papers…