关键词: 闭环供应链, 不确定性, 动态模型, 鲁棒H∞控制, 线性矩阵不等式

Abstract: A class of dynamic models of closedloop supply chain was set up, including product return model with uncertain parameter, remanufacturing model with timedelay and third party reverse logistics providers collecting model with those two uncertainties. Operation robustness of closedloop supply chain was analyzed, as well as the robust H∞ control strategy of closedloop supply chain and the Linear Matrix Inequality (LMI) technique were proposed. Through the robust H∞ control strategy, the impact of uncertainties on operation of closedloop supply chain could be restrained, and the operational cost of the closedloop supply chain could be near to optimal. Finally, combing with the practices of scrap recycling in steel industry, several simulation experiments were carried out and the H∞ control strategies were validated.

Key words: closedloop supply chain, uncertainty, dynamic model, robust H∞ control, linear matrix inequality