Abstract
This paper considers the normalization and stabilization of rectangular singular fractional order Takagi-Sugeno (T-S) fuzzy systems with order 0<α<1. By using the proportional and derivative type dynamic compensator, the rectangular singular fractional order T-S fuzzy systems are transformed into an augmented square singular fractional order T-S fuzzy systems, and the admissibility of the augmented square singular fractional order T-S fuzzy systems can guarantee the normalization and stabilization of the rectangular singular fractional order T-S fuzzy systems. Two sufficient conditions are expressed in terms of a set of bilinear matrix inequalities which can be efficiently solved by an iterative LMI algorithm. A numerical example is given to verify the effectiveness of the results proposed.
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