Switching PDC control for discrete-time T-S fuzzy system: A membership function ranking approach

Weiming Xiang, Jian Xiao, Lu Han

Research output: Contribution to journalArticle

10 Scopus citations


In this paper, a new type of switched parallel distributed compensation (PDC) controller is presented, in which a novel switching scheme, namely, membership function ranking (MFR) scheme is proposed. The MFR scheme can be viewed as an improvement and extension of previous results named largest membership function (LMF) scheme concerned with piece-wise quadratic Lyapunov function (PQLF) approach, since it provides a denser subdivision of normalized membership function space and therefore essentially yields less conservative results. Moreover, it shows that MFR scheme covers LMF scheme as a particular case. Based on MFR scheme, a family of ,controllers and a switching scheme is designed to ensure the closed-loop system asymptotically stable and has a required ,performance. A design example is presented to illustrate the advantages of MFR scheme.

Original languageEnglish (US)
Pages (from-to)3536-3558
Number of pages23
JournalJournal of the Franklin Institute
Issue number7
StatePublished - Jul 2014
Externally publishedYes


ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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