Sliding-Mode-Based Differentiation and Filtering

Arie Levant, Xinghuo Yu

Research output: Contribution to journalArticlepeer-review


The proposed kth-order filter is based on sliding modes (SMs). It exactly estimates k input derivatives in the absence of noises, and is robust to noises of small magnitudes or having small average values. Estimation accuracy asymptotics are calculated. The filter is applied to the real-time accurate estimation of the equivalent control in SM control systems.

Original languageEnglish
Article number8267210
Pages (from-to)3061-3067
Number of pages7
JournalIEEE Transactions on Automatic Control
Issue number9
StatePublished - Sep 2018


  • Discrete event systems
  • estimation
  • nonlinear filtering
  • sliding-mode control (SMC)
  • uncertain systems


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