Biomechanical loading, in particular, viscous loading of the upper limb has been proposed in the literature as a means for suppressing pathologic tremor. It is expected that an improvement on manipulative function can be obtained by reducing the tremorous motion associated to some neurological disorders. This article presents two non-grounded control strategies to suppress tremor by means of a orthotic (wearable) exoskeleton. These two strategies are based on biomechanical loading and notch filtering of tremor via internal forces. Both controls strategies will be evaluated and validated on the robotic exoskeleton called WOTAS (Wearable Orthosis for Tremor Assessment and Suppression). At the end, results obtained in the pre-clinical trials and conclusions of this study are presented.