This study addresses the problem of extended dissipativity analysis for nonlinear time-delay systems represented by Takagi–Sugeno fuzzy model. Different from the existing schemes in the literature, this paper aims to solve the dissipativity problem by considering the H∞, L2 -L∞ and dissipative performance constraints in a unified framework. Additionally, to estimate the single integral terms in the derivative of the Lyapunov–Krasovskii functional, a polynomial-based integral inequality is used. The advantage of the proposed method is demonstrated numerically with the well-known benchmark of a truck-trailler model drawn from the literature.