Proportional-integral-derivative (PID) control is widely applied in industries, though it is sometimes difficult to apply to nonlinear systems. In contrast, database-driven PID (DD-PID) control has been proposed as a control method to adjust adaptive PID parameters. However, although this method can efficiently construct control systems with high control performance for nonlinear systems, its large computational cost in terms of computation time and memory consumption limits its application to relatively slow-response systems such as some process control systems. Therefore, in this paper, the cerebellar model articulation controller (CMAC) is introduced, and a new method to realize the database constructed by DD-PID with CMAC memory is proposed. Finally, numerical simulation examples are employed to quantitatively evaluate the reduction of computation time and memory usage, which verifies the effectiveness of the proposed method.