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Based on each knowledge, this paper explores both robust LPV system and robust gain scheduled system design method. Quadratic L2 gain performance framework and robust model matching (RMM) strategy are combined to develop compensators. Namely, a RMM design method, that is, a practical approach to the design of attachable robust compensators for the linear time invariant (LTI) plant, is extended for application to the LPV plant. A design example and simulation results are presented in order to demonstrate the proposed method. 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