Abstract
A parallel distributed compensation (PDC) based fuzzy controller design issue to discrete time-delay affine Takagi-Sugeno (T-S) fuzzy systems is considered. It is noted that the discrete time-delay affine T-S fuzzy systems stabilization matrix inequalities belong to a class of bilinear matrix inequalities (BMI) and cannot be solved by a convex optimization algorithm. Due to this reason, an iterative linear matrix inequality (ILMI) algorithm is used to represent the BMI problem into a linear matrix inequality (LMI) problem and to obtain the feasible solution for the synthesis of the discrete time-delay affine T-S fuzzy systems. Finally, a numerical simulation is given to show the applications of the present approach.
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