Stability analysis of T-S fuzzy systems with time-varying delay via parameter-dependent reciprocally convex inequality. (English) Zbl 1520.93376
Summary: 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.
MSC:
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
| 93C42 | Fuzzy control/observation systems |
| 93C43 | Delay control/observation systems |
Keywords:
T-S fuzzy systems; Lyapunov-Krasovskii functional; stability conditions; time-varying delay; reciprocally convex inequalityReferences:
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