New Stability Criterion for Continuous-Time Takagi-Sugeno Fuzzy Systems With Time-Varying Delay

Likui Wang, Hak Keung Lam

Research output: Contribution to journalArticlepeer-review

165 Citations (Scopus)
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Abstract

In this technical paper, a new Lyapunov-Krasovskii functional (LKF) is designed to study the stability of continuous-time Takagi-Sugeno fuzzy systems with time-varying delay. The integrand of the LKF depends on integral variable and time t which can help to reduce the number of linear matrix inequalities (LMIs). Then, a new stability criterion is derived by analyzing the sign of the time derivatives of membership functions. Compared with the existing results, larger delay bounds can be obtained by applying the new criterion. In the end, two examples show the effectiveness of the conclusions.

Original languageEnglish
JournalIEEE Transactions on Cybernetics
DOIs
Publication statusAccepted/In press - 18 Feb 2018

Keywords

  • Delays
  • Fuzzy systems
  • Linear matrix inequalities
  • Membership dependent Lyapunov-Krasovskii functional
  • Stability criteria
  • Switches
  • Takagi-Sugeno's (T-S) fuzzy model
  • time-varying delay
  • Time-varying systems

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