A general dynamic model of a class of parallel platforms for vibration control applications based on Kane's method is presented. A general parallel platform is composed of a moving platform, a base platform, and i limbs with identical kinematic structure. Each limb connects the mobile platform to the base platform by j + 1 hinges and j struts, where the prismatic actuator is fixed at one of the struts. The hinges can be replaced by any other kind of conventional hinges or flexure hinges. The control system architecture based on mixed H2/H∈ synthesis method is introduced for a class of parallel platforms as a multiple-input/multiple-output (MIMO) problem for the purpose of active vibration isolation. A case study is illustrated and the theoretical analysis is validated at last. © 2011 Elsevier Ltd. All rights reserved.