Robust stabilization of uncertain fuzzy-time-delay systems using sliding-mode-control approach

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Abstract

Based on sliding-mode-control theory, we develop a fuzzy controller design method for a class of uncertain time-delay systems that can be represented by TakagiSugeno (TS) fuzzy models. In terms of linear-matrix inequalities (LMIs), we derive a sufficient condition for the existence of stabilizing sliding-mode controllers. We show that the sliding-surface parameter matrix can be characterized in terms of the solution of the LMI-existence condition. Our LMI condition does not require stabilization of the pair of the state and input matrices. Thus, our method can be applied to a broad class of uncertain systems. We also give an LMI-based algorithm to design a switching feedback-control strategy so that a stable sliding motion is induced in finite time. Finally, we give a numerical-design example to show that our method can be better than the previous results.

Original languageEnglish
Article number5457994
Pages (from-to)979-984
Number of pages6
JournalIEEE Transactions on Fuzzy Systems
Volume18
Issue number5
DOIs
StatePublished - Oct 2010

Keywords

  • Fuzzy system
  • linear-matrix inequality (LMI)
  • sliding-mode control
  • switching surface
  • uncertain time-delay systems

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