Abstract: Due to the time-varying and uncertain market demand, it is extremely difficult to select the control strategy in the production and inventory control problem. In the production inventory problem, because of the time-varying and uncertain market demand, it is difficult to select the control strategy based on the accurate theoretical model. Active disturbances rejection controller(ADRC) is a model-independent controller which has a good robustness and adaptability for the controlled systems with non-linearity, long time delay, and high uncertainty. Based on a classical inventory model, this paper investigates production strategies in different market environments based on ADRC. The results indicate that when the sales function is a deterministic one, the production control strategies given by ADRC are in good agreement with the optimal solutions. When there exist uncertainty disturbances, ADRC can still give satisfactory production strategies according to the errors between predictive value and the actual value. ADRC is more operable and controllable in solving actual inventory control, which can be a new and powerful tool for uncertain optimal control problems in the field of economic management.

Key words: active disturbances rejection controller (ADRC), inventory control model, dynamic optimization, time-varying demand

摘要： 生产库存问题中，由于市场需求的时变性以及不确定性，很难通过精确的理论模型选择调控策略。自抗扰控制（ADRC）技术是工程实践中基于误差反馈的控制方法，它对非线性、大时滞、强不确定性控制对象具有很强的鲁棒性和适应性。基于ADRC研究库存模型在不同市场环境下的生产控制策略。结果表明：当销售函数是时间的确定性函数时，ADRC能够给出与最优解近似一致的企业生产控制策略；当市场销售存在不确定性扰动时，ADRC能够根据实际库存状态和目标状态的误差给出令人满意的生产策略，化解不确定市场环境对企业的冲击。研究表明，在解决实际库存控制过程中，ADRC更具操作性和可控性，同时可为经济管理领域不确定最优控制问题提供一种新的分析思路。

关键词: 自抗拢控制, 库存模型, 动态优化, 时变需求