Adaptation of sliding modes

Giorgio Bartolini, Arie Levant*, Franck Plestan, Mohammed Taleb, Elisabetta Punta

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Adaptive sliding-mode strategies of first and second sliding orders are developed for single-input singleoutput systems of the first and second relative degrees, respectively. Since the only concrete known uncertainty bounds are assumed to be the upper bounds of logarithmic derivatives, no standard slidingmode technique can solve the problem.

Original languageEnglish
Pages (from-to)285-300
Number of pages16
JournalIMA Journal of Mathematical Control and Information
Issue number3
StatePublished - Sep 2013


  • Adaptation
  • Finite-time stability
  • High-order sliding mode


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