Based on fuzzy Lyapunov function, this paper propose relaxed approaches in control design for uncertain Takagi-Sugeno (T-S) systems. A linear upper bound of time-derivative of membership functions will be used. Consequently, relaxed non-quadratic stability conditions are derived based on the parallel distributed compensation scheme to stabilize T-S systems. Then, uncertainties which are bounded in norm will be introduced and new stabilization conditions for uncertain T-S systems are given. Along this paper, all these approaches will be given in terms of Linear Matrix inequalities (LMI). Numerical examples illustrate the effectiveness and the merit of the proposed robust control design.