This paper focuses on a fuzzy controller design for nonlinear coupled systems with quadratic cost function, which is described by an n-dimensional nonlinear ordinary differential equations (ODEs) and a semi-linear scalar parabolic partial differential equation (PDE) connected in feedback.Initially ,the nonlinear coupled system is represented by a Takagi-Sugeno (T-S) fuzzy coupled ODE-PDE model.Then, on the base of the resulting T-S fuzzy coupled model, a feedback controller is developed in terms of linear matrix equalities(LMIs) to exponentially stabilize the fuzzy coupled system while providing an upper bound on the cost function.The proposed feedback controller consists of the ODE state feedback and the PDE output feedback.Moreover, by utilizing the existing LMI optimization techniques, a suboptimal fuzzy guaranteed cost control (GCC) problem is also devoted to minimize an upper bound of the cost function.Finally, the effectiveness of the proposed method is verified by a numerical simulation on the control of a hypersonic rocket car.