Admissibility Analysis and Control Synthesis for T-S Fuzzy Descriptor Systems

Liang Qiao, Qingling Zhang, Guofeng Zhang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

48 Citations (Scopus)


The problem of admissibility analysis and control synthesis for Takagi-Sugeno fuzzy descriptor systems is investigated. First, based on Nonquadratic fuzzy Lyapunov function and fully using the information of fuzzy membership functions, a new relaxed sufficient condition ensuring a fuzzy descriptor system to be admissible (regular, impulse-free, and stable) is proposed, in which it is not necessary to require every fuzzy subsystem to be stable. Second, the other sufficient condition for the admissibility is obtained without the information of time derivatives of fuzzy membership functions. Following the analysis, both parallel and nonparallel distributed compensation controllers are designed, linear matrix inequalities conditions are given to construct the controllers. Finally, some examples are provided to illustrate the main results in this paper less conservative than some earlier related results.
Original languageEnglish
Article number7482847
Pages (from-to)729-740
Number of pages12
JournalIEEE Transactions on Fuzzy Systems
Issue number4
Publication statusPublished - 1 Aug 2017


  • Admissible control
  • linear matrix inequalities (LMIs)
  • nonparallel distributed compensation (non-PDC) controller
  • nonquadratic fuzzy Lyapunov function
  • parallel distributed compensation (PDC) controller
  • Takagi-Sugeno (T-S) fuzzy descriptor system

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics


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