Describing function analysis of second-order sliding mode observers

I. Boiko, M. I. Castellanos, L. Fridman

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


The second-order sliding mode observer dynamics are analyzed in the frequency domain. The so-called super-twisting algorithm is utilized for generating the second-order sliding mode in the observer dynamical system. The frequency response of the observer dynamics is obtained and used as a characteristic of the observer. The analysis proposed is based on the describing function method and the concept of the equivalent gains of nonlinear functions of the super-twisting algorithm.

Original languageBritish English
Pages (from-to)817-824
Number of pages8
JournalInternational Journal of Systems Science
Issue number10
StatePublished - Jan 2007


  • Describing function
  • Frequency-domain methods
  • Observers
  • Sliding mode


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