This paper considers the robust stabilization of uncertain multimodeling systems. The guaranteed cost control technique is used to choose the design parameter which is included in the control gain. The ε-independent quadratically stabilizing controller is newly proposed. It is shown that if the reduced order algebraic Riccati equations (AREs) have positive definite stabilizing solution then the closed-loop uncertain multimodeling systems with the proposed controller are quadraticaly stable and have the cost bound. To show the effectiveness of the proposed algorithm, numerical example is included.