Delay-Dependent H(Infinity) Control for Closed-Loop Supply Chain System with Multiple Delays

This paper puts forward a dynamic model of a closed-loop supply chain system with remanufacturing delay and disposal delay. The locally optimal performance and the delay-dependent H_infin control strategy of the supply chain system are obtained for different delays. The results show that there is a close correlation between the system performance and the time delays. With the increase of time delays the system performance deteriorates gradually and the influence of remanufacturing delay to the system performance is greater than that of disposal delay. The delay-dependent H_infin control strategy obtained can restrain the uncertainty impact on the closed-loop supply chain system so that it can run at a stable state.