This research work addresses a new robust control strategy to synthesis of robust proportional-integral-derivative (PID) based power system stabilizers (PSS). The PID based PSS design problem is reduced to find an optimal gain vector via an H∞ static output feedback control (H∞-SOF) technique, and the solution is easily carried out using a developed iterative linear matrix inequalities algorithm. To illustrate the developed approach a real-time experiment has been performed for a longitudinal four-machine infinite-bus system on the Analog Power System Simulator at the Research Laboratory of the Kyushu Electric Power Co. The results of the proposed control strategy are compared with full order H∞ and conventional PSS designs. The robust PSS is shown to maintain the robust performance and minimize the effect of disturbances properly.