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This paper investigates the H∞ state tracking model reference adaptive control (MRAC) problem for a class of switched systems using an average dwell-time method.First, a stability criterion is established for a switched reference model.Then, an adaptive controller is designed and the state tracking control problem is converted into the stability analysis.The global practical stability of the error switched system can be guaranteed under a class of switching signals characterized by an average dwell time.Consequently, sufficient conditions for the solvabilty of the H∞ state tracking model reference adaptive control problem are derived.An example of Highly Maneuverable Aircraft Technology (HiMAT) vehicle is given to demonstrate the feasibility and effectiveness of the proposed design method.