title: Delay-dependent stability and stabilization criteria for T-S fuzzy singular systems with interval time-varying delay by improved delay partitioning approach.
abstract: This paper deals with the stability analysis and fuzzy stabilizing controller design for a class of Takagi-Sugeno fuzzy singular systems with interval time-varying delay and linear fractional uncertainties. By decomposing the delay interval into two unequal subintervals and seeking a appropriate ρ, a new Lyapunov-Krasovskii functional is constructed to develop the improved delay-dependent stability criteria, which ensures the considered system to be regular, impulse-free and stable. Furthermore, the desired fuzzy controller gains are also presented by solving a set of strict linear matrix inequalities. Compared with some existing results, the obtained ones give the result with less conservatism. Finally, some examples are given to show the improvement and the effectiveness of the proposed method.
authors.affiliation: College of Information Science and Engineering, Northeastern University, Shenyang, 110819 China ; School of Science, University of Science and Technology Liaoning, Anshan, 114051 China.
authors.forename: Chao
authors.initials: C
authors.lastname: Sun
authors.affiliation: College of Information Science and Engineering, Northeastern University, Shenyang, 110819 China.
authors.forename: Fuli
authors.initials: F
authors.lastname: Wang
authors.affiliation: School of Science, University of Science and Technology Liaoning, Anshan, 114051 China.
authors.forename: Xiqin
authors.initials: X
authors.lastname: He
keywords: Delay-partitioning approach; Fuzzy singular system; Interval time-varying delay; Linear matrix inequalities (LMIs)