Abstract: Aiming at the shortcomings of the low-voltage transfer ratio of the two-stage matrix converter, the Y-source two-stage matrix converter (YSTSMC) is formed by embedding the Y-source network in the DC part, which has the characteristics of large voltage gain, few passive components, and low switching loss. If the grid voltage creates an unbalanced condition, the current and voltage will fluctuate greatly, affecting the power factor and power quality and reducing the reliability of system operation. In this paper, the input power control of the YSTSMC converter is studied for improvement of the input control of the YSTSMC converter. The traditional PI controller has the problems of relatively difficult parameter adjustment, low control accuracy, large overshooting amount, and poor anti-interference ability. Therefor, the YSTSMC control system based on the passivity based control-sliding mode control (PBC-SMC) under unbalanced grid condition is proposed, and its stability is proved. Simulation and experimental results show that the PBC-SMC control strategy based on passive and sliding mode theoretical foundations can lead to improved system responsiveness and power quality.