New stability criterion for time-delay Takagi-Sugeno fuzzy systems
JIA Ru
WANG Gang
SONG Hua-dong
Abstract：A new method,namely,the variable delay partitioning method,is firstly developed to solve the problems of stability analysis and stabilization for continuous time-delay Takagi-Sugeno fuzzy systems.Different from previous results,the delay interval[0,d(t)]is partitioned into some variable subintervals by employing variable delay partitioning method.Thus,new delay-dependent stability criteria for fuzzy time-delay systems are derived by applying this variable delay partitioning method.The proposed method can make full use of the variable subintervals information,so the new delay-dependent stability criteria are less conservative than previous results.Based on the Lyapunov stability theory,a new delay-dependent stability criterion for T--S fuzzy systems is given in the form of linear matrix inequalities(LMIs).Both the stability and stabilization results are further extended to fuzzy time-delay systems with time-varying parameter uncertainties.Illustrative examples are provided to demonstrate the effectiveness for conservatism reduction.
Keywords：Takagi-Sugeno(T--S)fuzzy systemsvariable delay partitioningdelay-dependent stabilitystability crite-rionuncertainties
Publication Date：2018-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 317-323 )