Robust stability analysis of uncertain T-S fuzzy systems with time-varying delay

This paper presents the stability analysis of a class of nonlinear time-varying delay systems with parameter uncertainty, through extended Takagi-Sugeno fuzzy modeling. The delay-dependent stability and robust stability criterions are presented using delay decomposition approach, in terms of linear matrix inequalities (LMIs). The time-varying delay is assumed to be bounded and continuous need not be differentiable. Simulation results are discussed to show the efficiency of the technique and compared the maximum allowable upper bound (MAUB) with literature.

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