Aiming at the dual-channel supply chain system considering manufacturers, suppliers and retailers, the optimal inventory and order control of the second-order dual-channel supply chain system with no time delay and with time delay considering consumer demand is studied by using the finite-time linear quadratic regulator (LQR) based on optimization problem and the disturbance observer based on Kalman filter. Firstly, a controller is designed based on discrete LQR algorithm for the second-order dual-channel supply chain model without time delay. Secondly, for the second-order dual-channel supply chain model with time delay, a disturbance observer is designed based on Kalman filter theory, so that the state of consumer demand can be accurately observed in a limited time. At the same time, the parameters representing inventory and order quantity are constructed with nonlinear constraints, and the second-order discrete supply chain system with time delay is controlled by LQR and loop algorithm to solve the optimal control problem. Finally, the validity of the theorem is verified by a numerical example.

Jinghan Hu. Optimal Control of Agricultural Product Supply Chain Distribution Inventory under E-commerce Model. International Journal of New Developments in Engineering and Society (2024) Vol.8, Issue 4: 50-61. https://doi.org/10.25236/IJNDES.2024.080407.

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