A parameterized design method for switching controllers is proposed for linear parameter-varying (LPV) systems. Based on the Youla parameterization ideas, the switching controller design process is decomposed into two steps. Firstly, a central controller is designed to guarantee the global $H_\infty$ performance of the closed-loop system. Then, the parameter variation set is divided into several subsets, in each subset, the center controller performs the linear fractional transformation to obtain the state space realization of the free parameters of the switching controller, and the switching controller is converted into switching the free parameter. Based on the implementation of the linear fractional transformation method of the switched LPV controller proposed in this paper, it can not only guarantee the corresponding $H_\infty$ performance of the local subsystem under arbitrary switching, but also guarantee the closed-loop system to satisfy the $H_\infty$ performance. The simulation results show the effectiveness of the proposed method.