Analysis of second-order sliding-mode algorithms in the frequency domain

  title={Analysis of second-order sliding-mode algorithms in the frequency domain},
  author={Igor Boiko and Leonid M. Fridman and M. I. Castellanos},
  journal={IEEE Transactions on Automatic Control},
A frequency domain analysis of the second-order sliding-mode algorithms, particularly of the twisting algorithm is carried out in the frequency domain with the use of the describing function method and Tsypkin's approach. It is shown that in the presence of an actuator, the transient process may converge to a periodic motion. Parameters of this periodic motion are analyzed. A comparison of the periodic solutions in the systems with higher order sliding-mode controllers and the oscillations that… CONTINUE READING
Highly Cited
This paper has 117 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.
79 Citations
13 References
Similar Papers


Publications citing this paper.
Showing 1-10 of 79 extracted citations

117 Citations

Citations per Year
Semantic Scholar estimates that this publication has 117 citations based on the available data.

See our FAQ for additional information.


Publications referenced by this paper.
Showing 1-10 of 13 references

Tsypkin, Relay Control Systems

  • Y Z.
  • 1984
Highly Influential
7 Excerpts

Switched chattering control vs. backlash/friction phenomena in electrical servo-motors

  • Y. Orlov, L. Aguilar, J. C. Cadiou
  • Int. J. Control, vol. 76, no. 9–10, pp. 959–967…
  • 2003
1 Excerpt

Higher-order sliding modes for the output-feedback control of nonlinear uncertain systems in variable structure systems

  • G. Bartolini, A. Levant, A. Pissano, E. Usai
  • Toward the 21st Century, X. Yu and J.-X. Xu, Eds…
  • 2002
1 Excerpt

2-sliding-mode control for nonlinear plants with parametric and dynamic uncertainties

  • Y. B. Shtessel, D. R. Krupp, I. A. Shkolnikov
  • Proc. 2000 Conf. AIAA, 2000, pp. 1–9.
  • 2000
2 Excerpts

Chattering avoidance by secondorder sliding-mode control

  • G. Bartolini, A. Ferrara, E. Usai
  • IEEE Trans. Automat. Contr., vol. 43, pp. 241–246…
  • 1998

Similar Papers

Loading similar papers…