Robust control for uncertain fuzzy systems via circle criterion

Ji Chang Lo, Yu Ting Lin

Research output: Contribution to journalArticlepeer-review


We investigate a robust stabilization and synthesis problem involving a state-feedback fuzzy control via LMI methods, for which efficient optimization techniques are available. The closed-loop system is robustly stable in the presence of unknown but sector-bounded nonlinearity. The problem is tackled via the famous circle criterion borrowed from system theory. We present results in a unified fashion applicable to both continuous- and discrete-time problems. Finally the validity and applicability of the approach are demonstrated by two examples.

Original languageEnglish
Pages (from-to)194-199
Number of pages6
JournalInternational Journal of Fuzzy Systems
Issue number4
StatePublished - Dec 2004


  • Circle criterion
  • Linear matrix inequality (LMI)
  • Robust control
  • TS fuzzy model


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