On dissipativity of Takagi-Sugeno fuzzy descriptor systems with time-delay

Abstract

This paper is concerned with the dissipativity analysis for Takagi–Sugeno (T–S) fuzzy descriptor systems with time-delay. By using of delay partitioning approach, a delay-dependent criterion is established in terms of strict linear matrix inequalities (LMIs), which guarantees the considered system to be admissibility and strict (Q,R,S)-α-dissipativity. The obtained results dependent upon not only time delay but also the number of delay partitions, thus are less conservative. In addition, the developed results encompass available results on H∞ performance and strict passivity analysis as special cases. A numerical example is provided to illustrate the effectiveness of the proposed theories.