Stability analysis of T–S fuzzy systems with time-varying delay via parameter-dependent reciprocally convex inequality
Huichao Lin, Jiuxiang Dong · International Journal of Systems Science · 2023
The stability problem of T–S fuzzy systems with time-varying delay is investigated in this article. The purpose is to establish the less conservative stability conditions for T–S fuzzy systems with time-varying delays. Firstly, a parameter-dependent reciprocally convex inequality is proposed to improve the estimation accuracy of reciprocal convex terms. Secondly, based on the line-integral Lyapunov–Krasovskii (L–K) function and the developed parameter-dependent reciprocally convex inequality, a less conservative stability condition is established. Finally, two examples are used to verify the feasibility and superiority of the proposed method.