Abstract-In this paper, on the basis of the theoretical analysis of a single-machine infinite-bus (SMIB), using its modified linearized Phillips-Heffron model installed with SSSC, the potential of the SSSC supplementary controller to enhance the dynamic stability of a power system is evaluated by measuring the electromechanical controllability through singular value decomposition (SVD) analysis. This controller is tuned to simultaneously shift the undamped electromechanical modes to a prescribed zone in the s-plane. The problem of robustly SSSC based damping controller is formulated as an optimization problem according to the eigenvalue-based multi-objective function comprising the damping factor, and the damping ratio of the undamped electromechanical modes to be solved using particle swarm optimization technique (PSO) that has a strong ability to find the most optimistic results. To ensure the robustness of the proposed damping controller, the design process takes into account a wide range of operating conditions. The effectiveness of the proposed controller is demonstrated through controllability measure, eigenvalue analysis, nonlinear time-domain simulation and some performance indices studies. The results analysis reveals that the tuned PSO based SSSC controller using the proposed multi-objective function has an excellent capability in damping power system low frequency oscillations and enhance greatly the dynamic stability of the power systems.Index Terms-Power system dynamic stability, Power transmission control, particle swarm optimization, static synchronous series compensator.