Admissibilisation of singular interval type‐2 Takagi–Sugeno fuzzy systems with time delay

Abstract

This study investigates the admissibility analysis and stabilisation problems for singular interval type‐2 Takagi–Sugeno fuzzy systems with time delay. A generalised integral inequality method is used to obtain the delay‐dependent condition. The criteria for admissibility analysis and controller synthesis are given in terms of linear matrix inequalities. In order to reduce the conservatism of the system, some free weighting matrices and advanced integral inequalities are introduced. Finally, two illustrative examples are exhibited to demonstrate the effectiveness of the proposed method.