L2-stabilization design for fuzzy control systems

Hwan Rong Lin, Wen June Wang

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


System's stability is the most important requirement in control system designs. Fuzzy control system (FCS) should satisfy this requirement also. This paper shows that a linear plant with the formulated Fuzzy Logic Controller (FLC) is a nonlinear system and its stability can be analyzed by applying the Small Gain Theorem or the Circle Criterion. By these two criteria, three FLC design procedures are introduced to guarantee the stabilization of the FCS. Finally, two examples are given to confirm the availability of the proposed design approaches.

Original languageEnglish
Pages (from-to)159-172
Number of pages14
JournalFuzzy Sets and Systems
Issue number1-3
StatePublished - 1998


  • Control theory
  • Controller design
  • Fuzzy set


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