Robust stability analysis of Takagi-Sugeno fuzzy nonlinear singular systems with time-varying delays using delay decomposition approach. (English) Zbl 1346.93311
Summary: This paper investigates the problem of robust stability analysis for Takagi-Sugeno fuzzy nonlinear singular systems with time-varying delays. The nonlinear functions are assumed to satisfy the Lipschitz conditions. By constructing Lyapunov-Krasovskii functional with different weighted matrices, sufficient delay-dependent asymptotic stability conditions are expressed in terms of linear matrix inequalities. Further, delay decomposition approach is used to derive less conservative results. The effectiveness of the derived theoretical result is shown through numerical examples.
MSC:
| 93D09 | Robust stability |
| 93C42 | Fuzzy control/observation systems |
| 93C10 | Nonlinear systems in control theory |
Keywords:
Takagi-Sugeno fuzzy model; nonlinear singular systems; time-varying delay; linear matrix inequality; delay decomposition approachReferences:
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