Finite-Time State-Observer for a Class of Linear Time-Varying Systems with Unknown Inputs

Jorge Davila*, Markus Tranninger, Leonid Fridman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A finite-time observer for a class of linear time-varying systems with bounded unknown inputs is presented in this note. The design of the observer exploits structural properties of the system and, through a linear operator, allows applying the robust-exact differentiator in a block form without requiring additional stabilizing terms. The proposed observer provides an exact estimate of the states after a finite transient-time despite the possible instability of the system and the effects of bounded unknown inputs.
Original languageEnglish
Pages (from-to)3149-3156
Number of pages8
JournalIEEE Transactions on Automatic Control
Issue number6
Publication statusPublished - 1 Jun 2022


  • Complexity theory
  • Convergence
  • Linear systems
  • Observability
  • Observers
  • Switches
  • Urban areas
  • time-varying systems
  • unknown inputs
  • finite-time observers
  • Robust observers
  • high-order sliding modes

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Computer Science Applications


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