Model Reduction of T-S Fuzzy Systems with Time-Varying Delays

This paper investigates the model approximation problem for the T-S fuzzy system with time-varying delays. For a given high-order system, the purpose is to obtain the reduced-order model which approximates the original one well with a prescribed error performance. Based on the reciprocally convex technique, a new asymptotic stability condition is proposed for the corresponding error system with a given error performance. Then, the reduced-order model is obtained on the basis of the projection approach, which transforms the model approximation into a sequential minimization problem subject to linear matrix inequality constraints by employing the cone complementary linearization algorithm.