This paper is concerned with H∞ output feedback control design for a general class of fuzzy systems. When the premise variable is the measurement output, the control design is easy but a fuzzy system representation is limited. On the other hand, when it is the state variable, a fuzzy system describes a general class of nonlinear systems but the control design becomes difficult. This is because a conventional parallel distributed compensator (PDC) is not feasible any more. In this paper, we introduce an output feedback controller whose premise variable is independent of the premise variable of an original fuzzy system. Then, we formulate an H∞ control problem for a general class of fuzzy system where the premise variable is not always available. Our control design method is based on a set of strict LMI conditions. No scaling parameter is necessary a priori to solve LMI conditions for designing an H∞ controller. Our method includes matrices that can tune control gain matrices in an H∞ controller and hence it can reflect the control performance of the resulting closed-loop system. A numerical example is given to illustrate our H∞ output feedback control design.