In order to study the effects of two strategies of the non-linear supply chain with and without shortage on the dynamic behavior of remanufacturing supply chain system, a non-linear system model with non-return supply constrained by the current level of supply service and recovery capacity constrained by the maximum recovery capacity is established, which is more in line with the actual situation. In order to accurately analyze the dynamic performance of the system so as to effectively suppress the impact of uncertainty and ultimately achieve the stable operation of the system, the research on the operation process of the nonlinear supply chain system is deepened and the fuzzy robust control method is deeply studied. The mitigation of the lead time, the uncertain parameters inside the system, and the external customer demand cause large fluctuations in the system operation process. It is of great practical significance to improve the efficiency of the supply chain, enhance the competitiveness of enterprises, and achieve healthy and stable economic development.