A novel stabilization criterion for large-scale T-S fuzzy systems

W. W.Wei Wei Lin, Wen June Wang, Shu Han Yang

Research output: Contribution to journalArticlepeer-review

52 Scopus citations


This correspondence studies the stabilization problem of large-scale Takagi-Sugeno fuzzy systems. A novel stabilization criterion with decentralized parallel distributed compensation (PDC) fuzzy controller is proposed. The criterion contains two inequalities and one negative definite matrix to be satisfied. The effects of all interconnection terms and all decentralized PDC gains are entirely included in the negative definite matrix. The size of the matrix depends on the number of subsystems; the more the number of subsystems is, the larger the size of the matrix is. By using the linear matrix inequality method, the inequalities in the criterion can be solved to synthesize the local feedback gain of each PDC fuzzy controller such that the whole closed-loop large-scale fuzzy system is asymptotically stable. Finally, we give a practical example to illustrate the effectiveness of the proposed criterion.

Original languageEnglish
Pages (from-to)1074-1079
Number of pages6
JournalIEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Issue number4
StatePublished - Aug 2007


  • Fuzzy control
  • Large-scale systems
  • Linear matrix inequalities (LMIs)
  • Parallel distributed compensation (PDC)


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