This paper focuses on a low order robust stabilizer design for linear time varying (LTV) internal model based system in the discrete time domain. While adopting the output feedback gain injection based stabilization structure for continuous LTV systems, the discrete stabilization synthesis has its unique challenges, and the approach formulated in the continuous domain cannot be directly applied. Therefore, in this paper, the stabilization for LTV internal model based control in the discrete setting is formulated. Its challenges are revealed and methods to convert it into a convex optimization based synthesis are proposed. The approach is then validated through simulation analysis and experimental investigations. Copyright © 2012 by ASME.