This paper addresses the design problem of Gain-Scheduled Output-Feedback (GSOF) controllers for continuous-time Linear Parameter-Varying (LPV) systems. In contrast to the conventional problem setting, scheduling parameters are supposed to be provided with bounded absolute/proportional uncertainties. H-infinity-type problem is tackled and a sufficient condition for our problem is given in terms of Parameter-Dependent Linear Matrix Inequalities (PDLMIs) with a single line search parameter. It is also proved that, our method is no more conservative than an existing method in proportional uncertainty case. (C) 2013 Elsevier Ltd. All rights reserved.