关键词: 闭环供应链, 混合回收, 提前期, 牛鞭效应, 鲁棒控制

Abstract: To restrain the bullwhip effect caused by lead times in the closed-loop supply chain with hybrid recycling channels,a robust control method was researched.The basic model of closed-loop supply chain with hybrid recycling channels was established.By considering the impacts of lead times on bullwhip effect,a class of closed-loop supply chain fuzzy model with lead times was constructed based on discrete Takagi-Sugeno fuzzy control system.According to the inventory statuses under different period,the manufacturer's production strategy and the retailer's ordering strategy were designed respectively.A new fuzzy robust  H∞ control method was proposed,which could not only restrain the bullwhip effect effectively,but also make closed-loop supply chain remain robust stability.The simulation results showed the feasibility and effectiveness of the proposed method.

Key words: closed-loop supply chain, hybrid recycling channels, lead time, bullwhip effect, robust control