  In this study, we explore the quantum critical phenomena in generalized
Aubry-Andr\'{e} models, with a particular focus on the scaling behavior at
various filling states. Our approach involves using quantum fidelity
susceptibility to precisely identify the mobility edges in these systems.
Through a finite-size scaling analysis of the fidelity susceptibility, we are
able to determine both the correlation-length critical exponent and the
dynamical critical exponent at the critical point of the generalized
Aubry-Andr\'{e} model. Based on the Diophantine equation conjecture, we can
determines the number of subsequences of the Fibonacci sequence and the
corresponding scaling functions for a specific filling fraction, as well as the
universality class. Our findings demonstrate the effectiveness of employing the
generalized fidelity susceptibility for the analysis of unconventional quantum
criticality and the associated universal information of quasiperiodic systems
in cutting-edge quantum simulation experiments.
