Output-feedback finite-time stabilization of disturbed LTI systems

Marco Tulio Angulo, Leonid Fridman, Arie Levant

Research output: Contribution to journalArticlepeer-review


Semi-global finite-time exact stabilization of linear time-invariant systems with matched disturbances is attained using a dynamic output feedback, provided the system is controllable, strongly observable and the disturbance has a bound affine in the state norm. The novel non-homogeneous high-order sliding-mode control strategy is based on the gain adaptation of both the controller and the differentiator included in the feedback. A robust criterion is developed for the detection of differentiator convergence to turn on the controller at a proper time.

Original languageEnglish
Pages (from-to)606-611
Number of pages6
Issue number4
StatePublished - Apr 2012


  • Dynamic output feedback
  • Finite-time stability
  • Sliding-mode control

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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