基于自抗扰控制的随机扰动库存系统优化模型

针对随机扰动造成的企业库存系统缺货、库存水平增加和订货波动增大的问题，提出一种基于自抗扰控制（ADRC）的随机扰动库存系统优化模型。首先，根据进销存产品流和信息流的运营管理逻辑，通过拉普拉斯变换得到了库存系统的传递函数并将其转换成一类二阶状态空间标准式；然后，设计了一种包括跟踪微分器、扩张状态观测器和非线性状态误差反馈控制率的基于ADRC的随机扰动库存系统优化模型，从而在保证系统稳定的前提下，控制补偿随机扰动对库存系统的影响；最后，利用行业数据进行仿真实验，以验证ADRC优化模型对随机扰动库存系统优化的有效性。仿真实验结果表明，与无ADRC的库存反馈控制模型相比，基于ADRC的随机扰动库存系统优化模型可减少40%的库存剩余，减小47.4%的订货量均值，降低39.3%的订货量波动，并极大地改善随机扰动下企业库存系统的缺货现象。由此可见，基于ADRC的随机扰动库存系统优化模型能够指导企业合理订货，降低企业库存水平，从动态的角度提高库存系统的稳定性，为企业的实际生产运营提供科学的理论借鉴和应对方法。

Optimization model of inventory system under stochastic disturbance based on active disturbance rejection control

To solve the problem of stockout， increasing inventory level and the fluctuation of order quantity caused by stochastic disturbance， an optimization model of inventory system under stochastic disturbance based on Active Disturbance Rejection Control （ADRC） was proposed. Firstly， according to the operational management logic behind the purchase-sale-storage product and information flows， the transfer function of the inventory system was obtained and transformed to a second-order state space standard form by the Laplace transform. Secondly， an optimization model of inventory system under stochastic disturbance based on ADRC including the tracking differentiator， the extended state observer and the nonlinear state error feedback control law was designed to control and compensate the adverse effects on the inventory system caused by stochastic disturbance under the premise of ensuing system stability. Finally， simulations were carried out by using data collected from the industry to verify the effectiveness of the optimization model on optimization of the inventory system under stochastic disturbance. Simulation results show that compared to the inventory feedback control model without ADRC， the optimization model of inventory system under stochastic disturbance based on ADRC has the residual inventory reduced by 40%， the average order quantity reduced by 47.4%， the order fluctuation decreased by 39.3%， and the stockout of enterprise inventory system caused by stochastic disturbance greatly improved. It can be seen that the optimization model of inventory system under stochastic disturbance based on ADRC can guide enterprises to make a reasonable ordering decision， decrease the inventory level， improve the stability of inventory system dynamically， and provide the scientific theoretical reference and countermeasures for the actual operations of enterprises.