This paper presents a robust and coordinated supplementary damping controller design of multiple reactive FACTS controllers and their application in a large-scale power system. Reactive FACTS devices

such as static synchronous compensators (STATCOM) and static VAR compensators (SVC)

are considered and assessed for their damping controller design. Control objectives

including regional pole placement and norm bounded mix sensitivities

are used to solve the bilinear matrix inequality (BMI) problems in each linearized model via a two-step method. Multiple damping controllers are sequentially designed to avoid coupling effect among the input signals and increase the reliability of the proposed design. A 5-area 16-machine 68-bus power system is used for the implementation of the damping controllers. Numerical linear analysis and real-time simulations in a test platform based on Real-time digital simulators (RTDS) are adopted to test the feasibility and robustness of the coordinated damping controllers.