Laser additive manufacturing is a complex process that involves multiple physical phenomena, including laser-material interaction, melt pool dynamics, heat transfer, and solidification. The automatic control model for LAM aims to monitor and adjust key parameters in real-time during the manufacturing process, such as laser power, scanning speed, powder feed rate, etc., to ensure high quality and consistency of the parts. This chapter introduces the control models applied in LAM, discussing both open loop control and feedback control.