© 2020 IEEE.This paper investigates the suspension performance for a high-speed railway vehicle based on a half-car vehicle model. The dynamic responses are studied for the track conditions provided by Federal Rail Administration (FRA) report, and are compared with rail deflection measurements collected from the Konya-Polatli high-speed rail line in Turkey. A hybrid control scheme based on skyhook and groundhook methodologies is proposed to ably substitute the expensive active suspension designs. Then, a multi-objective optimization problem is formulated and the bi-state damping coefficients are synthesized by using the Gradient and LMI optimization based algorithms. Numerical studies show that the semi-Actively controlled suspension system can achieve a performance highly comparable to an actively-controlled vehicle even for severe track excitations. Besides it can offer considerable benefits on the ride quality by maintaining a soft vertical ride and realible driving conditions.