This　paper　presents　an　optimized　design　of　power　system　damping　controller　based　on　partial　eigenstructure　assignment　in　linear　systems.　Eigenvalue　and　eigenvector　of　critical　oscillating　modal　are　set　simultaneously　using　partial　left　eigenstructure　assignment　(PLEA).　Extra　control　degrees　of　freedom　is　assigned　to　partial　left　eigenvector　for　improving　dynamical　damping　performance　of　power　system.　A　dynamical　compensator　type　controller　is　introduced　to　replace　traditional　power　system　stabilizer　(PSS).　In　this　way,　additional　control　freedom　is　increased　and　the　requirement　of　inputs　to　the　controller　can　be　fulfilled　using　PLEA.　In　the　last,　weighting　multi-objective　sub-functions　are　built,　and　the　parameter　design　of　damping　controller　can　be　formulated　as　a　single-objective　nonlinear　programming　problem　and　solved　using　group　search　optimizer　(GSO).　Simulation　results　of　IEEE-39　system　model　under　multiple　operating　conditions　demonstrate　that　the　controller　designed　using　proposed　PLEA　can　efficaciously　damp　low-frequency　oscillation　in　power　system,　yielding　a　better　control　performance　and　robustness　in　comparison　than　that　of　traditional　PSS　designed　using　residues　method.　©　2018,　Electrical　Technology　Press　Co.　Ltd.　All　right　reserved.