关键词: 闭环供应链, 切换模糊系统, 线性矩阵不等式, 鲁棒控制

Abstract: To research the operational problem of uncertain closed-loop supply chain based on cost switching under the circumstance of Internet,a type of dynamic closed-loop supply chain model was constructed,which was consisted of a cost-based switching signal vector and a material recovery subsystem with a 3 Party Reverse Logistic Providers (3PRLP) as well as a manufacturer recovery subsystem,and the reverse logistics in this model included the remanufacturing part and the gratuitous return part.To solve the great cost fluctuation of closed-loop supply chain system caused by switching process between the material recovery subsystem with 3PRLP and the manufacturer recovery subsystem,the operation process of closed-loop supply chain switching system was analyzed.Based on Lyapunov-Krasovskii function approach and Parallel Distributed Compensation (PDC) algorithm,the sufficient condition of asymptotic stability for closed-loop supply chain switching system was presented and proved by solving a set of Linear Matrix Inequalities (LMIs) and stabilizing switching laws were designed.An example demonstrated the effectiveness of the proposed method.

Key words: closed-loop supply chain, switched fuzzy system, linear matrix inequalities, robust control