Observation of linear systems with unknown inputs via high-order sliding-modes

Leonid Fridman*, Arie Levant, Jorge Davila

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A high-order sliding-mode observer is designed for linear time invariant systems with single output and unknown bounded single input. It provides for the global observation of the state and the output under sufficient and necessary conditions of strong observability or strong detectability. The observation is finite-time-convergent and exact in the strong observability case. The accuracy of the proposed observation and identification schemes is estimated via the sampling step or magnitude of deterministic noises. The results are extended to the multi-input multi-output case.

Original languageEnglish
Pages (from-to)773-791
Number of pages19
JournalInternational Journal of Systems Science
Issue number10
StatePublished - Jan 2007


  • High order sliding modes
  • Identification
  • Observation


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