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Feedback stabilization of linear systems with distributed input time-delay by backstepping method

  • Key Laboratory of Precision Opto-Mechatronics Technology (Ministry of Education)

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The stabilization problem of a linear time-invariant system with lumped and distributed delays in the control will be investigated by the backstepping method. A transformation is introduced firstly to reduce the system with distributed input delay into a system with lumped input delay. The transformation kernel can be expressed explicitly through solving a Cauchy problem of ODEs. Then the backstepping arguments presented by Krstic and Smyshlyaev in [1] can be applied to work out a feedback control for the original system, where the key point is to model the lumped delay by a first-order hyperbolic partial differential equation.

Original languageEnglish
Title of host publicationProceedings of the 16th International Symposium on Artificial Life and Robotics, AROB 16th'11
Pages107-109
Number of pages3
StatePublished - 2011
Event16th International Symposium on Artificial Life and Robotics, AROB '11 - Beppu, Oita, Japan
Duration: 27 Jan 201129 Jan 2011

Publication series

NameProceedings of the 16th International Symposium on Artificial Life and Robotics, AROB 16th'11

Conference

Conference16th International Symposium on Artificial Life and Robotics, AROB '11
Country/TerritoryJapan
CityBeppu, Oita
Period27/01/1129/01/11

Keywords

  • Backstepping method
  • Distributed delay
  • Reduction transformation
  • Time-delay systems

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