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Weighting factor design is one of the challenges faced by model predictive control (MPC) when multiple control objectives are to be achieved simultaneously. This paper proposes an alternating sequential MPC (ASMPC) in which the cost functions are evaluated in alternating order, avoiding the weighting factor selection and the need to determine the evaluation order for each cost function. Reduced computational burden is achieved at the same time. The proposed ASMPC has been applied to the control of a matrix converter and simulation results verify the feasibility and effectiveness of the proposed controller.