Robust stabilization of T-S fuzzy systems via improved integral inequality

This paper addressed the robust stabilization performance of Takagi–Sugeno (T-S) fuzzy systems under a state feedback controller. To attain this, an integral inequality is proposed by rearranging quadratic matrix-vector form combined with Jensen’s to handle single terms obtained taking derivative concerned Lyapunov–Krasovskii functional. By employing this and using techniques, some improved delay-dependent stability results are established in linear matrix inequalities for T-S model. Finally, numerical examples provided facilitate feasibility less conservativeness theoretical results.