The passification-based $H_\infty$ tracking control strategy is proposed for switched nonlinear systems. Firstly, a state-dependent switching method is proposed. When the subsystems do not satisfy the standard assumption of the bounded reference weak minimum phase (BRWMP), sufficient conditions of solving the $H_\infty$ tracking problem are given. The internal stability of the switched system is guaranteed by a zero-state detectability condition, and the $H_\infty$ tracking performance is verified by the passive inequality. Secondly, a time-dependent tracking control method is presented and the solvability condition of the $H_\infty$ tracking problem is given. This method takes the error between the system output and the reference signal as the control input, and the average dwell time is computed. Finally, a simulation example is given to illustrate the correctness of the result.