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This paper proposed the design of wide-area robust damping (WARD) controller for multiple Flexible AC Transmission Systems (FACTS) devices to enhance the stability of power system with considering time delay of wide-area signals. Firstly, as power systems interconnect more and more to exchange large amounts, wide-area measurement system (WAMS) is widely applied to monitor and control the interconnected power systems, which can enable the use of measured signals from remote locations for centralized control purpose. In this trend, the impact of time delays introduced by remote signal transmission and processing in WAMS has not been ignored. So this paper describes the wide-area multiple FACTS robust damping controller design problem of power system as time-delay feedback control problem. Then based on the time-delay power system model, wide-area multiple FACTS robust damping controller is design free-weighting matrices method and pole placement method in the linear matrix inequality (LMI). Finally, the case study on 2 areas 4 machines system will show the robustness and effectiveness of this proposed controller.