Robust H∞ control of closed-loop supply chain dynamic model with two-channel

Abstract

With the uncertainty of production delay, electronic distribution delay, external demand and collector recovery, according to production inventory, distribution inventory, customer virtual inventory, and third-party recycling inventory, the closed-loop supply chain dynamic model with two-channel, which combining with the actual operation situation about production, remanufacture, distribution, e-market, inventory and recovery, was established. The robustness operation of closed-loop supply chain was analyzed. A linear matrix inequality algorithm was giving to solve the robust control H∞ strategy of the closed-loop supply chain dynamic model with two-channel. The analyzed results showed that the impact of uncertainty on the operation of the closed-loop supply chain is restrained by the robust H∞ control strategy, and the operational cost of the closed-loop supply chain can be optimal. Finally, a simulation of appliance business verified the effectiveness of the method.