Recently, the controller using wide-area measurement systems (WAMS) signals has been proposed by researchers. But, an unavoidable delay before the wide-area signals exists which is received by the controller. Accordingly, a delay-independent robust control problem of large interconnected power systems is presented based on the hybrid fuzzy controller for wide area measurement. A fuzzy controller is a nonlinear controller and it is not so sensitive to system topology, parameter and operating condition changes as the conventional ones. According to wide area power system complexity and variation of the loads and network conditions, FPSS has been considered in this paper. Furthermore, the proposed controller has been improved by chaotic version of shark smell optimization algorithm (CSSO) as an optimization problem. Effectiveness of the proposed method has been applied over the 10 machine 39 bus New England power system. Finally, the effectiveness of the proposed controller design methodology is demonstrated through simulation example. Obtained results demonstrate the superiority of the proposed strategy.