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In this paper, a new relaxed condition is proposed to deal with H∞ control for nonlinear discrete-time systems that are represented by T-S fuzzy model. The main results are derived based on the nonquadratic Lyapunov function and the non-PDC controller. The new relaxed conditions are expressed in terms of linear matrix inequalities, which can be efficiently solved by software. Finally, illustrative examples are given to show the performance of our approach.