An LMI-based design of reduced order observers substitutable for full order sliding mode observers

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Abstract

This paper presents an LMI-based method to design reduced order observers by which we can substitute full order sliding mode observers for a class of uncertain time-delay systems. We show that a reduced order observer can be constructed as long as the uncertain system satisfies the previous LMI existence conditions of a full order sliding mode observer. And we give explicit formulas of the reduced order observer gain matrices. Finally, we give a simple LMI-based design algorithm, together with a numerical design example.

Original languageEnglish
Pages (from-to)232-235
Number of pages4
JournalJournal of Institute of Control, Robotics and Systems
Volume14
Issue number3
DOIs
StatePublished - Mar 2008

Keywords

  • Linear matrix inequality(LMI)
  • Reduced order observer
  • Sliding observer
  • Time-delay system

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