In order to provide a solution of active rectification for linear pumps in pump control system, a novel collaborative rectification structure is conceptually designed in this paper. The fundamental subsystem is the direct drive pump cell (DDPC). A DDPC consists of a cylinder and a valve, and the piston rod and the valve spool are integrated together. The DDPC could be driven by a linear oscillating motor directly. The DDPC working process is logically modeled as a state machine. Certain theorems are given and proved to illustrate the composition principles of a pump system with collaborative rectification. The kinematic flow rate of the collaborative rectification pump is studied. According to the comparison to the existing linear pumps, the novel pump has more structure compactness and control flexibility.