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This paper deals with Takagi–Sugeno (T–S) systems stabilization based on dynamic output feedback compensators (DOFC). In fact, only few results consider DOFC for T–S systems and most of them propose quadratic Lyapunov stability function to provide stability conditions, which may lead to conservatism. In this work, to overcome this drawback and enhance the closed-loop transient response, we provide for T–S uncertain closed-loop systems non-quadratic stability conditions. Based on a fuzzy Lyapunov candidate function and the descriptor redundancy property, these stability conditions are written in terms of linear matrix inequalities (LMI). Afterward, the DOFC is designed with H_∞ criterion in order to minimize the influence of the external disturbances. Finally, a few academic examples illustrate the efficiency of the proposed approach.