Further results on stability analysis of Takagi–Sugeno fuzzy time-delay systems via improved Lyapunov–Krasovskii functional

AIMS Mathematics

article

Rupak Datta¹  Ramasamy Saravanakumar²  Rajeeb Dey³  Baby Bhattacharya¹ 

[1] Department of Mathematics, National Institute of Technology Agartala;Graduate School of Advanced Science and Engineering, Hiroshima University;Department of Electrical Engineering, National Institute of Technology Silchar

关键词: T–S fuzzy system;    LKF;    DRD stability;    LMI;    TDS;   

DOI  :  10.3934/math.2022901

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

The problem of delay-range-dependent (DRD) stability analysis for continuous time Takagi–Sugeno (T–S) fuzzy time-delay systems (TDSs) is addressed in this paper. An improved DRD stability criterion is proposed in an linear matrix inequality (LMI) framework by constructing an appropriate delay-product-type (DPT) Lyapunov–Krasovskii functional (LKF) to make use of Bessel-Legendre polynomial based relaxed integral inequality. The modification in the proposed LKF along with the judicious choice of integral inequalities helps to obtain a less conservative delay upper bound for a given lower bound. The efficacy of the obtained stability conditions is validated through the solution of three numerical examples.

【 授权许可】

CC BY