In this paper a method is proposed to design a robust controller for uncertain system using fast output sampling technique. An LMI approach is used to design robust feedback for the uncertain system. The fast output sampling control allows the realization of the robust state feedback gain simultaneously for family of linear models. But in practice there are two problem with exactly realizing this state feedback i.e. poor error dynamics and noise sensitivity. Hence the problem is further posed as LMI problem to overcome the undesired effects. The method does not require the states of the system for feedback. The method is illustrated by a practical system example.